4. Suppose a second, the ball has: reaches a height ofs =-16e, 64e feet in t sec

Question

4. Suppose a second, the ball has: reaches a height ofs =-16e, 64e feet in t seconds. At-1 both velocity and acceleration positive. both velocity and acceleration negative positive velocity and negative acceleration negative velocity and positive acceleration. Ocp O D 5. Ify 4ex - In(2x)+3cos(5x)-tan.then y' 12ex+15 sin(5x) sec (x) OB 12e3x-?-15sin(5x)-see@ O D Noe o the abone 6. The graph below is for a function y f(x). We can conclude from this graph that for-20 f(x)>0 andf"(x) o f(x)>O and (x)> f'(x) 0 f'(x)

Explanation / Answer

4. s(t) = -16t2+64t

velocity, v(t)= s '(t) = -32t+64

v(1) = -32+64 = 32 ft/sec

acceleration,a(t) = v '(t) = -32

a(1) = -32 ft/sec2

So velocity is positive and acceleration is negative

5. y = 4e3x-ln(2x)+3cos(5x)-tan(x)

   y' = 4(3) e3x-(2/2x) -3(5) sin(5x) -sec2(x) = 12 e3x-(1/x) -15 sin(5x) -sec2(x)

Correct option is B

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