1.) Find the body\'s velocity at time t=pi/3sec. 2.) Find the derivative of the
ID: 2890567 • Letter: 1
Question
1.) Find the body's velocity at time t=pi/3sec. 2.) Find the derivative of the function. 3.) The graph of a function is given. Choose the answer that represents the graph of its derivative.
1.) The equatian gives the position s fit) of a body moving on a coordinate line (s in meters, t in seconds). Find the body's velocity at time t /3 sec. s=2+1|cos t OA. m/sec 2 O B, 1113 m/sec m/sec 2 D.- m/sec 2.) Find the derivative of the function y-log 215x+9 5 In 2 (5x + 9) B. O C. O D. 5In2 2( In 2)(5x +9) In 2 5x+9 3. The graph of a function is given. Choose the answer that represants the graph of its derivative B. O C. .15 15 .15 15 15 -15 .15 -15 15Explanation / Answer
1. s=2 +11 cos t
velocity, s'(t)= -11 sin (t)
At t=pi/3 , s'(t)=-11sin(pi/3)=-11sqrt(3)/2
Correct option is B
2. y=log2sqrt(5x+9) = ln sqrt(5x+9)/ln 2
y'= (1/ln 2)(1/sqrt(5x+9))(1/2)(1/sqrt(5x+9)) *5= 5/2ln 2(5x+9)
Correct option is B
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