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CALC AB MC QUESTIONS WITH 100%
VERIFIED ANSWERS 2025
∫(x^2/4)ⅆx= - correct-answer-(x^3/12)+C
Which of the following is an equation of the line tangent to the graph of y=cosx at
x=π/2 ? - correct-answer-y=−x+π/2.
d/dx(2(sin√x)^2)= - correct-answer-(2sin√xcos√x)/x
∫(x^2+1)/(x3+3x−5)^3ⅆx= - correct-answer-−1/6⋅1/(x^3+3x−5)^2+C
The function f is given by f(x)=4x^3−x^4. On what intervals is the graph of f
concave up? - correct-answer-(0,2) only
The equation y=2e6x−5 is a particular solution to which of the following
differential equations? - correct-answer-y′−6y−30=0
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What is the value of x at which the minimum value of y=3x^4/3−2x occurs on the
closed interval [0,1] ? - correct-answer-1/8
At time t=0, a storage tank is empty and begins filling with water. For t>0 hours,
the depth of the water in the tank is increasing at a rate of W(t) feet per hour.
Which of the following is the best interpretation of the statement W′(2)>3 ? -
correct-answer-Two hours after the tank begins filling with water, the rate at
which the depth of the water is rising is increasing at a rate greater than 3 feet per
hour per hour.
A person stands 30 feet from point P and watches a balloon rise vertically from
the point, as shown in the figure above. The balloon is rising at a constant rate of 2
feet per second. What is the rate of change, in radians per second, of angle θ at
the instant when the balloon is 40 feet above point P ? - correct-answer-3/125
How many vertical asymptotes does the graph of y=(x−2)/(x^4−16) have? -
correct-answer-one
For what value of bb does the integral
∫b x2ⅆx
1n
CALC AB MC QUESTIONS WITH 100%
VERIFIED ANSWERS 2025
∫(x^2/4)ⅆx= - correct-answer-(x^3/12)+C
Which of the following is an equation of the line tangent to the graph of y=cosx at
x=π/2 ? - correct-answer-y=−x+π/2.
d/dx(2(sin√x)^2)= - correct-answer-(2sin√xcos√x)/x
∫(x^2+1)/(x3+3x−5)^3ⅆx= - correct-answer-−1/6⋅1/(x^3+3x−5)^2+C
The function f is given by f(x)=4x^3−x^4. On what intervals is the graph of f
concave up? - correct-answer-(0,2) only
The equation y=2e6x−5 is a particular solution to which of the following
differential equations? - correct-answer-y′−6y−30=0
, 2|Page
What is the value of x at which the minimum value of y=3x^4/3−2x occurs on the
closed interval [0,1] ? - correct-answer-1/8
At time t=0, a storage tank is empty and begins filling with water. For t>0 hours,
the depth of the water in the tank is increasing at a rate of W(t) feet per hour.
Which of the following is the best interpretation of the statement W′(2)>3 ? -
correct-answer-Two hours after the tank begins filling with water, the rate at
which the depth of the water is rising is increasing at a rate greater than 3 feet per
hour per hour.
A person stands 30 feet from point P and watches a balloon rise vertically from
the point, as shown in the figure above. The balloon is rising at a constant rate of 2
feet per second. What is the rate of change, in radians per second, of angle θ at
the instant when the balloon is 40 feet above point P ? - correct-answer-3/125
How many vertical asymptotes does the graph of y=(x−2)/(x^4−16) have? -
correct-answer-one
For what value of bb does the integral
∫b x2ⅆx
1n
