Cracking The Ap Calculus ab Exam 2018

19.A particle moves along the x-axis so that its position at time t, in seconds, is given by x(t) = t^2 − 7t

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  6. For what value(s) of t is the velocity of the particle zero?
  
  
  
  

(A) 1

(B) 6

(C)1    or  6

(D)3.5

20. 
    

    sin(2x) dx  =

    
    

(A)e    −   1

(B)1    −   e

(C)e    +   1

(D) 1

21.The average value of sec^2 x on the interval is

(A)

(B)

(C)

(D)

22. Find the area of the region bounded by the parabolas y = x^2 and y = 6x − x^2.

(A) 9

(B) 27

(C)−9

(D)−18

23.The function f is given by f(x) = x^4 + 4x^3 . On which of the following intervals is f decreasing?