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para sa mga genius sa math, engineering economy at basic science

polluxstyx

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mga ka sb: asignment to ng pamangkin ko..... ala na kasi ku tym mgsagot... if my masagutan kau kahit isa lang ay malaking tulong na po. hindi namn po ito sapilitn, libangan po sa mga alng magawa. salamat po.

paki highloghts na lng po if may sasagutan kau... tnx.

MATHEMATICS, ENGINEERING ECONOMY AND BASIC SCIENCES SET A



1. A nine sided polygon is called
a. heptagon b. dodecagon c. nonagon d. pentagon

2. Polyhedrons are classified according to the number of
a. sides b. edges c. faces d. vertices

3. A rectangular array of numbers forming m and n column are called
a. matrix b. inverse c. transpose d. determinants

4. A straight line where the curve approaches more and more closely but never touches it except as a limiting position at infinity is called
a. latera recta b. focal chord c. directrix d. asymptote

5. Degenerate conics are obtained when the cutting plane passes through the vertex of the cone. All are the examples of degenerates conics except
a. two intersecting lines b. two coincident lines c. point ellipse d. circle

6. A triangle with no equal sides
a. scalene b. equilateral c. isosceles d. right triangle

7. The point of intersection of all the angle bisectors
a. orthocenter b. incenter c. circumcenter d. centroid

8. Location of maximum moment
a. zero shear b. zero moment c. point of inflection d. maximum deflection

9. If a beam is loaded with a triangular downward load that is increasing, the shear diagram should be
a. concave up b. concave down c. straight slant line d. horizontal line

10. If belt friction, the tight side of the belt is larger than the slack side
a. true b. false c. sometimes d. never

11. The limiting value of frictional force is
a. N b. μN c. f d. W

12. The tangent of the angle of friction
a. N b. μ c. f d. W

13. It represents the distance from the y-axis
a. abcissa b. ordinate c. coordinates d. polar distance

14. The distance of any point to the origin
a. ordinate b. polar distance c. ordinate d. line segment

15. The point (-3, 18) lie on quadrant
a. I b. II c. III d. IV

16. Two figures with the same perimeter
a. isosmeter b. isoperimeter c. isochromatic d. isometric

17. The principal nth root of a negative number is the negative root if n is
a. even b. prime number c. odd d. 3



18. It is a quadrilateral with one pair of parallel sides
a. parallelogram b. rectangle c. rhombus d. trapezoid

19. A polygon whose vertices are found in a circle
a. inscribed polygon b. incenter c. cyclic polygon d. circular polygon

20. A polyhedron of which two faces are equal polygons in parallel planes and the other faces are parallelograms
a. pyramid b. prism c. cubes d. cones

21. Perfectly elastic bodies will have the coefficient of restitution equal to
a. 1 b. 0 c. less than 1 d. more than one

22. It is often called the second moment of area
a. moment of force b. moment of inertia c. section modulus d. modulus of elasticity

23. At the highest point in a projectile path the velocity is
a. zero b. Voy c. Vox d. maximum

24. A body traveling in projectile path the velocity is
a. constant b. independent from time c. zero d. all of these




33. It is the totality of the elements that are involve in the situation
a. null set b. universal set c. empty set d. union set

34. They are numbers that are non-repeating and non-terminating numbers
a. real numbers b. rational numbers c. irrational numbers d. counting numbers

35. Setting the second derivative to zero will give the
a. maximum point b. point of inflection c. concavity of the curve d. minimum point

36. A quadrilateral with four equal sides
a. parallelogram b. rectangle c. trapezoid d. rhombus

37. To determine the other parts of an oblique triangle given all the sides, we have to use the
a. cosine law b. sine law c. Pythagorean theorem d. Heron’s Formula

38. In the formula “s” is the

a. perimeter b. half perimeter c. circumference d. area

39. At a joint subjected to the action of three members with no external load if two are collinear the third member must be
a. unity b. maximum c. zero d. minimum

(Prob. 40 to 45) Given the vertices of a triangle A(-3,6), B(-5,2) and C(3,-6). Determine the following:

40. Find the area of the triangle
a. 24 sq. units b. 12 sq. units c. 48 sq. units d. 36 sq. units

41. Find the length of the altitude of the triangle from vertex B.
a. b. c. d.


42. Find the smallest interior angle of the triangle.
a. 18.43° b. 13.73° c. 17.74° d. 53.13°

43. Find the centroid of the triangle
a. (-5/2, 2/3) b. (-4/3, 2/3) c. (-5/3, 4/3) d. (-5/3, -2/3)

44. Find the equation of the median of the triangle from vertex A.
a. 10x - 2 b. 10X +7y + 2 c. 10x -7y -2 d. none of these

45. Find the midpoint of side AC
a. (-1, 1) b. (3, 1) c. (4,1) d. none of these

46. Forces which pass through a common point are called
a. collinear b. collinear c. concurrent d. parallel

47. Obtained by dividing the differential load dP by the differential area dA over which it acts.
a. strain b. poison ratio c. stress d. deformation

48. Stress beyond which the material will not return to its original shape when unloaded but will retain a permanent deformation called permanent set.
a. Yield Point b. Elastic limit c. Proportional Limit d. Ultimate Strength

49. Who postulated the stress is proportional to strain
a. Newton b. Hooke c. Galileo d. Archimedes

50. When the temperature increase all materials expands except
a. mercury b. steel c. water d. copper

51. An annuity whereby payment is postponed for a certain period of time.
a. annuity due b. deferred annuity c. ordinary annuity d. perpetuity

52. Actual interest carried by a given principal.
a. nominal interest b. compounded interest c. simple interest d. effective interest

53. Actual interest carried by a given principal.
a. nominal interest b. compounded interest c. simple interest d. effective interest






54. A car is overtaking a trailer uniformly accelerated in speed from 40 kph to 90 kph in 8 seconds. Calculate the distance traveled during the period of acceleration.
a. 144 m b. 146 m c. 150 m d. 152 m

55. The ratio between the average load and total available capacity
a. load factor b. power factor c. capacity factor d. demand factor

56. A 50 mm diameter solid circular shaft was stressed by 40 MPa when transmitting power at 1200 rpm. If G=100 GPa, what is horsepower transmitted?
a. 156.5 b. 165.36 c. 136.55 d. 155.6

57. For economic decision making process in the private sector, economics calculations are made to maximize net benefits to:
a. those who invest in the enterprise and assume the risk
b. those who work as part of the enterprise
c. public
d. the creditors of the enterprise

58. If a certain fund earns an interest of 12% compounded quarterly, what is the effective rate of interest?
a. 12% c. 3% c. 12.55% d. 12.68%

59. What annual expenditure for 10 years is equivalent to spending P1000.00 at the end of second year, P2000.00 at the end of fifth year and P6000.00 at the end of eight year, if the interest is at 12% per year?
a. P813.72 b. P872.13 c. P900.00 d. P825.13

60. A new boiler was installed at a cost of P1.5M and projected to have a zero salvage value at the end of its 10 year life. What is the capitalized cost if interest is 10% per year?
a. P2.44 M b. P6.02 M c. P3.42 M d. P1.02 M

61. If the LPG sphere of shell company has an inside diameter of 15 meters and it could safely be filled 75% of its volume. Compute for the volume of LPG safely be contained in the sphere.
a. 1325 m3 b. 1340 m3 c. 1430 m3 d. 1345 m3

62. The maximum horsepower rating of mechanical works or plant that can be tended or operated by a Certified Plant Mechanic is:
a. 50 hp b. 400 hp c. 300 hp d. 150 hp

63. Which is not a qualification for an applicant for ECE board examination?
a. a holder of BSECE degree c. a Certified Electronics Technician
b. a citizen of the Philippines d. at least 18 years of age

64. What is the water pressure in KPa if a manometer reading is 600 mm Hg and mercury is 13.6 times heavier than water?
a. 72.4 b. 47.2 c. 74.2 d. 27.4

65. 2000 kg of steel containing 8 percent nickel is to be made by mixing a steel containing 14 percent nickel with another containing 6 percent nickel. How much of each is needed.
a. 550 kg; 2000 kg b. 500 kg; 1500 kg c. 600 kg ; 1700 kg d. 200 kg; 1000 kg

66. A wire supporting a pole is fastened to it 20 feet from the ground 15 feet from the pole. Determine the length of the wire and the angle it makes with the pole.
a. 25 feet ; 36.87° b. 38 feet ; 39.8° c. 34 feet; 35.90° d. none of these

67. The integral of cosxdx with respect to x is;
a. –sinx + c b. sinx + c c. cosx + c d. –cosx + c

68. Simplify the expression cosθ (1 + tan2θ)
a. tan2θ b. 1 c. sin2θ d. cos2θ


69. A steam power cycle is modeled by the ideal cycle known as
a. Brayton b. Stirling c. Rankine d. Otto

70. An ideal gas is contained in a rigid container. There is no work of a rotating shaft associated with the container. Any heat transfer is a function of:
a. pressure only b. volume only c. no heat transfer d. temperature only

71. A piston cylinder device provides 8 KJ of work to an external device. Two kg of air are contained inside the cylinder. If the internal energy of the air is increased by 2 KJ/kg during the process, what is the heat transfer in KJ?
a. 12 b. 24 c. 16 d. 20

72. A hoist with a 100 hp engine is capable of lifting a 10000 pounds load at a height of 20 feet in 10 seconds. The efficiency of this machine in % is:
a. 40 b. 36.75 c. 30 d. 32.75

73. A bond whereby the security behind it are the equipment of the issuing corporation.
a. debenture bond b. collateral bond c. mortgage bond d. lien bond

74. A certain specimen is subjected to a load. When the load is removed, the strain disappears. Which of the following can be deduced about this material?
a. it is elastic b. it is not elastic c. it is ductile d. It is brittle

75. Things that can be quantitatively measured or valued such as items of costs and physical assets are:
a. tangibles b. investment c. capital d. intangibles

76. The percentage of capacity of operation of a manufacturing plant at which income will just cover expenses;
a. rate of return b. break even point c. law of diminishing returns d. none of these

77. The ratio of maximum demands of the separate parts of a system and the maximum demand of the entire system is called;
a. demand factor b. load factor c. capacity factor d. diversity factor

78. The government agency who refuses to issue a certificate to any person convicted by court of any criminal offense involving moral turpitude, dishonorable conduct, or to any person of unsound mind;
a. PRC b. IECEP c. Congress d. Senate President

79. How much water must be evaporated from 40 liters of a 15% solution of salt in order to obtain a 20% brine solution.
a. 8 liters b. 2 liters c. 6 liters d. 10 liters

80. What is the probability that the sum of two numbers will at least be nine (9) if a pair of dice is rolled once?
a. 3/18 b. 5/18 c. 7/18 d. 1/3

81. The chemical most commonly used to speed sedimentation of sewage is referred as;
a. lime b. sulfuric acid c. methylene blue d. copper sulfate

82. The gas from sludge digestion tanks is mainly composed of;
a. methane b. nitrogen c. carbon dioxide d. oxygen

83. The ratio of oxygen available to the oxygen required for stabilization of sewage is called;
a. relative stability b. concentration factor c. oxygen-ion content d. all of these

84. Intermittent sand filters are primarily used to;
a. supply fertilizers to farmers b. oxidize putrescible matter c. remove offensive odors d. remove solids

85. The most important factor in determining high temperature behavior of an alloy is;
a. ionization b. dispersion c. composition d. crystallization




86. With regards to corrosion of metals, passivation is the process that;
a. intensifies deterioration c. inhibits further deterioration
b. changes of composition of metals d. all of these

87. A heat engine operating on a Carnot cycle has its intake temperature 157°C and 100°C respectively. Its efficiency is closest to:
a. 12.75% b. 13.25% c. 14.38% d. 16.33%

88. A volume of 400 cc of air is measured at a pressure of 740 mm Hg absolute and a temperature of 18°C. The volume at 760 mm Hg absolute and 0°C is:
a. 366 cc b. 352 cc c. 358 cc d. 369 cc

89. A fuel coal having a heat of combustion of 14,000 BTU/lb is used in a heating plant 50% efficiency, how many pounds of steam of 50% quality and 212°F temperature can be made per pound of this coal from water whose initial temperature is 70°F?
a. 10.9 b. 12.75 c. 11.2 d. 15.3

90. Calculate the horsepower of a boiler that generates 4000 pounds of dry steam per hour with a factor of evaporation of 1.06. The latent heat of steam at 212°F is 970 Btu/lb.
a. 120 b. 123 c. 126 d. 130

91. The installed cost of a refrigeration unit is P250,000.00. It has a salvaged value of P20,000 after an economic life of 10 years. Using straight line depreciation method, what is the book value at the end of 5 years?
a. P135,000.00 b. P125,000.00 c. P200,000.00 d. P130,000.00

92. A mine will have a net annual income of P400,000.00 annually for 15 years. Determine its value if the annual dividend rate is to be 12% payable annually and sinking fund is to accumulate 7% annually.
a. P2,503,213.11 b. P3,456,789.00 c. P2,609,500.35 d. P456,789.00

93. How long will it take for P10,000.00 invested in a bank savings account to double in value if interest is 6% compounded semi-annually?
a. 8 years b. 12 years c. 16 years d. 20 years

94. The value of the property at the end of its economic life is called;
a. scrap value b. book value c. salvage value d. market value

95. A series of uniform amounts over a period of time
a. depreciation b. annuity c. interest d. valuation

96. If P100,000.00 is invested at 12% compounded monthly, the annual interest is nearest to:
a. P1000.00 b. P12,350.00 c. P12,700.00 d. P12,000.00

97. Cost that are difficult to attribute or allocate to a specific output or with activity.
a. indirect cost b. direct cost c. variable cost d. invariable

98. Cost that have been incurred at some past date;
a. fixed costs b. sunk costs c. operation costs d. maintenance costs

99. The annual depreciation charge equals capital recovery with return for an interest rate of;
a. 100% b. zero c. greater than zero d. one

100. The power of a good service to satisfy human wants
a. utility b. producer goods c. value d. consumer goods
 
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1. c.nonagon
2: a. sides
3. a. matrix
4. d. asymptote
5. b. two coincident lines - not sure
6. a. scalene
7. d. centroid


12. c. f
13. b. ordinate
14.
15. c. III


18. d. trapezoid
19. a.inscribed polygon
20. b. prism
21. a. 1


36. a. parallelogram
38 a. perimeter
39.

46. c. concurrent

48. b. elastic limit

51. b. deferred annuity

63. c. Certified Electronics Technician
77. a. PRC
94. a. scrap value
95. b. annuity



pasensya na po. tinatamad ako magsolve. hahaha
 
Last edited:
sabihin mo sa pamangkin mo matuto sya gumawa ng assignment nya bat ikaw ang magsasagot kaya nga pinagaaral para magkaroon ng sariling pagiisip at di pinagiisipa ng iba.
 
sabihin mo sa pamangkin mo matuto sya gumawa ng assignment nya bat ikaw ang magsasagot kaya nga pinagaaral para magkaroon ng sariling pagiisip at di pinagiisipa ng iba.


hala nasermonan. hahaha!

well, some of the questions are quite easy naman. and with a little help of Mr. Google, kayang kaya sya. ;)
 
katamaran nyu ha my pinagmanahan an pamankin mu otor! mga lahe kau ng tamad pwe!!
 
1. nonagon

2. sides

3. matrix yata

4. asymptote

5. circle

6. scalene

14. coordinates lol

15. 3

17. odd

18. rhombus

19. inscribed

20. cubes

22. modulus of elasticity yata

23. 0

24. independent of the time

33. universal set

34. counting numbers

36. rhombus

37. sine law

38. perimeter wahahaha

46. collinear

47. stress

48. elastic limit

49. hooke

50. water

51. perpetuity

52. nominal

53. simple

55. load factor

57. those who work as part of the enterprise

58. 3%

60. P2.44M

61. 4/3 pi*r^3 (.75)

63. ikaw

66. 25 feet ; 36.87°

67. sinx+c

69. otto

70. temperature only

71. 20

75.tangibles

76. none of these

77. diversity factor

78. Congress

79. 6

80. 1/3

81. copper sulfate

82. oxygen

83. oxygen-ion content

84. remove solids

85. composition

86. changes of composition of metals

87. 16.33%

88. 369 cc

89. 15.3

90. 130

91. P130,000.00

92. P456,789.00

93. 20 years

94. market value

95. valuation

96. P12,000.00

97. invariable

98. maintenance costs

99. one

100. consumer goods

wahahaha bahala ka sa buhay mo yan isagot mo para pumasa yang pamangkin mo wahahaha
 
1. nonagon

2. sides

3. matrix yata

4. asymptote

5. circle

6. scalene

14. coordinates lol

15. 3

17. odd

18. rhombus

19. inscribed

20. cubes

22. modulus of elasticity yata

23. 0

24. independent of the time

33. universal set

34. counting numbers

36. rhombus

37. sine law

38. perimeter wahahaha

46. collinear

47. stress

48. elastic limit

49. hooke

50. water

51. perpetuity

52. nominal

53. simple

55. load factor

57. those who work as part of the enterprise

58. 3%

60. P2.44M

61. 4/3 pi*r^3 (.75)

63. ikaw

66. 25 feet ; 36.87°

67. sinx+c

69. otto

70. temperature only

71. 20

75.tangibles

76. none of these

77. diversity factor

78. Congress

79. 6

80. 1/3

81. copper sulfate

82. oxygen

83. oxygen-ion content

84. remove solids

85. composition

86. changes of composition of metals

87. 16.33%

88. 369 cc

89. 15.3

90. 130

91. P130,000.00

92. P456,789.00

93. 20 years

94. market value

95. valuation

96. P12,000.00

97. invariable

98. maintenance costs

99. one

100. consumer goods

wahahaha bahala ka sa buhay mo yan isagot mo para pumasa yang pamangkin mo wahahaha


kuya hinulaan mo lang ba to? mali yata ibang sagot mo. :|
 
oh. kaya pala. :)) ang sama mo. baka gayahin nya yung sagot. hahaha
well kasalanan na nya un...

not mine..

grabe naman kasing katamaran to... given the fact na maraming madali lang..
 
hehehe!!! relax lng kau dyan.. salamat.
 
red horse ang sagot...ITO ANG TAMA!!! perfect na un pamangkin mo
 
Vector Analysis Arc Length, Unit tangent, unit Normal and curvature
Let C be the curve given by the equation, R(t)= sin t i + cos t j + log sec t k (0≤t<π/2)

Find:
a.) the element of arc length, ds, along C, in terms of t.
b.) the unit tangent T.
c.) the unit normal N.
d.) the curvature k.

Thanks for helping :) please help :-*
 
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