AP Calculus BC Unit 5 Progress Check:
MCQ Part A Exam Questions with
Verified Detailed Answers | Get it 100%
Correct!!
Let f be the function given by f(x)=cos(x^2+x)+2 The derivative of f is given by
f'(x)=-(2x+1)sin(x^2+x). What value of c satisfies the conclusion of the Mean
Value Theorem applied to f on the interval [1,2]? - ✔✔B. 1.438 because f'(x)=
f(2)-f(1)/(2-1)
The derivative of the function f is given by f'(x)= sqrt(x) sin(3sqrt(3sqrt(x)) On
which of the following intervals in [0,6pi] is f decreasing? - ✔✔C. [1.097,4.386],
[9.870,17.546]
The concentration of a certain element in the water supply of a town is modeled
by the function f, where f(t) is measured in parts per billion and t is measured in
years. The first derivative of f is given by f'(t)=1-lnt-sint. At what times t, for
0<t<5 does the concentration attain a local minimum? - ✔✔C. t=3.353 only
Let f be the function given by f(x)=(x^2-9)/sinx on the closed interval [0,5]. Of
the following intervals, on which can the Mean Value Theorem be applied to f? -
✔✔C. I and II only
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MCQ Part A Exam Questions with
Verified Detailed Answers | Get it 100%
Correct!!
Let f be the function given by f(x)=cos(x^2+x)+2 The derivative of f is given by
f'(x)=-(2x+1)sin(x^2+x). What value of c satisfies the conclusion of the Mean
Value Theorem applied to f on the interval [1,2]? - ✔✔B. 1.438 because f'(x)=
f(2)-f(1)/(2-1)
The derivative of the function f is given by f'(x)= sqrt(x) sin(3sqrt(3sqrt(x)) On
which of the following intervals in [0,6pi] is f decreasing? - ✔✔C. [1.097,4.386],
[9.870,17.546]
The concentration of a certain element in the water supply of a town is modeled
by the function f, where f(t) is measured in parts per billion and t is measured in
years. The first derivative of f is given by f'(t)=1-lnt-sint. At what times t, for
0<t<5 does the concentration attain a local minimum? - ✔✔C. t=3.353 only
Let f be the function given by f(x)=(x^2-9)/sinx on the closed interval [0,5]. Of
the following intervals, on which can the Mean Value Theorem be applied to f? -
✔✔C. I and II only
Page 1 of 3
©JOSHCLAY 2025/2026. YEAR PUBLISHED 2025.
