Answer each question appropriately.Suppose the velocity of a body moving along the s-axis is 
= 9.8t - 5.Is it necessary to know the initial position of the body to find the body's displacement over some time interval? Justify your answer.
A. No, the initial position is necessary to find the curve s= f(t) but not necessary to find the displacement. The initial position determines the integration constant. When finding the displacement the integration constant is subtracted out.
B. Yes, knowing the initial position is the only way to find the exact positions at the beginning and end of the time interval. Those positions are needed to find the displacement.
C. Yes, integration is not possible without knowing the initial position.
D. No, displacement has nothing to do with the position of the body.
Answer: A
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A. (4m + 7n)(5 - m) B. m(7 + 4n)(5 - 1) C. (7m - 4n)(5 - m) D. (7m + 4n)(5 - m)
Find the extreme values of the function and where they occur.f(x) = x3 - 3x2 + 6x - 8
A. Absolute minimum is 4 at x = -1. B. Absolute maximum is 4 at x = 2. C. Absolute maximum is 4 at x = 1. D. None
Solve the problem.A cube-shaped box must be constructed to contain 648 ft3. What should the side length of the box be? Give your answer in exact form.
A. 6
ft
B. 6 ft
C. 6
ft
D. 6
ft
Use Descartes' Rule of Signs and the Rational Zeros Theorem to find all the real zeros of the polynomial function. Use the zeros to factor f over the real numbers. f(x) = 5x4 - 40x3 + 81x2 - 8x + 16
A. -4, 4; f(x) = (x - 4)(x + 4)(5x2 + 1) B. -4, multiplicity 2; f(x) = (x + 4)2(5x2 + 1) C. 4, multiplicity 2; f(x) = (x - 4)2(5x2 + 1) D. no real roots; f(x) = (x2 + 16)(5x2 + 1)