For time t≥1, the position of a particle moving along the x-axis is given by \(p(t)=\sqrt{t}-2\),At what time t in the interval \(1\leq t\leq 16\) is the instantaneous velocity of the particle equal to the average velocity of the particle over the interval \(1\leq t\leq 16\)?
A 1
B \(\frac{121}{25}\)
C \(\frac{25}{4}\)
D 25
▶️Answer/Explanation
Ans:C
Question
If f is the function given by \(f(x)=3x^{2}-x^{3}\),then the average rate of change of f on the closed interval [1, 5 ] is
A -21
B -13
C -12
D -9
▶️Answer/Explanation
Ans:B
Question
What is the average rate of change of y = cos (2x) on the interval \(\left [ 0,\frac{\pi }{2} \right ]\)
A \(-\frac{4}{\pi } \)
B -1
C 0
D\(\frac{\sqrt{2}}{2} \)
E\(\frac{4}{\pi }\)
▶️Answer/Explanation
Ans:A
Question
What is the average rate of change of the function f given by \(f(x)=x^{4}-5x\) on the closed interval [0, 3]?