SET 3 (p. 37) Flashcards
1
Q
- Evaluate the limit of (p. 12) as x approaches infinity.
A
1/4 (p. 41)
2
Q
- Mr. Manuel Do is planning his retirement. He has estimated that he will need P10,000 per year to live on, in addition to his Social Security System pension and a private pension plan. How much money should he have in the bank at the date of his retirement, if the bank pays 10% per year, compounded continuously, and if Mr. Manuel Do wants to make 15 annual withdrawals of P10,000 each?
A
P73,867
3
Q
- Find the length of one arc of the curve represented by the parametric equation x = 4( θ - sinθ ), y = 4( 1 - cosθ ).
A
32 (p. 42)
4
Q
- Find the value of y if ( 2 + i ) divided by ( 1 - i ) equals i times ( x + yi ).
A
-1/2
5
Q
- Solve for y from the systems of equations: xy = 10, yz = 12, xz = 30
A
2
6
Q
Given the following equations in polar form. Convert each to rectangular form.
15: r = 2/(1 + sinθ)
A
x^2 + 4y - 4 = 0 (p. 43)
7
Q
- A layer of stone chippings coat laid over a hot to make the surface water-proof.
A
prime coat
8
Q
- The tangent to y = x^3 - 6x^2 + 8 x at ( 3, -3 ) intersects the curve at another point. Find this point.
A
( 0, 0 ) (p. 46)
9
Q
- Solve the triangle with the given parts: a = 8 cm, b = 10 cm, c = 18 cm. Which of the following is true?
A. A = 90°
B. B = 60°
C. C = 194°
D. impossible triangle
A
A
10
Q
31: Find the area of the surface generated by revolving about the y-axis the arc of y = x^2 from x = 0 to x = 6/5.
A
(1036/375)pi (p. 46)
11
Q
- MCIA is designing an airport for small planes. This is use for airplanes that must reach a speed before takeoff of at least 100 kph and can accelerate at 2 m/s². Find the minimum length must the runway have.
A
192.20 m (p. 47)
12
Q
- An isosceles trapezoid has constant bases of 6 and 12 inches, respectively. Using differentials, find the approximate change in its area when the equal sides changes from 5 to 5.2 inches.
A
2.25 (p.47)
13
Q
- Find the equation of the locus of a point which moves so that the sum of its distances from (2,0) and (-2,0) is always 8.
A
3x^2+4y^2=48 (p. 48)
14
Q
- It takes Alex 60 seconds to run around a 440-yard track. How long does it take Rubin to run around the track if he and Alex meet in 32 seconds after they start together in a race around the track in opposite direction?
A
72.57 sec
15
Q
40: At how many minutes after 3 P.M. will the minute hand of the clock overtakes the hour hand?
A
16.364 (p. 48)