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CALC AB MC QUESTIONS AND ANSWERS
∫(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
If x+3y^1/3=y what is ⅆy/ⅆx at the point (2,8) ? - correct
answer- 4/3
ⅆ/ⅆx(x^5−5x)= - correct answer- 5x^4−(ln5)5^x
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lim (10−6x^2)/(5+3e^x) is
x→∞ - correct answer- 0
Let RR be the region bounded by the graphs of y=2x and
y=4x−x^2. What is the area of RR ? - correct answer- 4/3
The graph of a function f is shown above. If g is the function
defined by g(x)=(x^2+1)/f(x), what is the value of g′(2) ? -
correct answer- -8/9
∫1
−1 x^2−x/xⅆx - correct answer- -2
The table above gives selected values for the differentiable
function f. In which of the following intervals must there be a
number c such that f′(c)=2 ? - correct answer- (8,12)
lim (sinx)/e^x −1
x→0 - correct answer- 1
CALC AB MC QUESTIONS AND ANSWERS
∫(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
If x+3y^1/3=y what is ⅆy/ⅆx at the point (2,8) ? - correct
answer- 4/3
ⅆ/ⅆx(x^5−5x)= - correct answer- 5x^4−(ln5)5^x
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lim (10−6x^2)/(5+3e^x) is
x→∞ - correct answer- 0
Let RR be the region bounded by the graphs of y=2x and
y=4x−x^2. What is the area of RR ? - correct answer- 4/3
The graph of a function f is shown above. If g is the function
defined by g(x)=(x^2+1)/f(x), what is the value of g′(2) ? -
correct answer- -8/9
∫1
−1 x^2−x/xⅆx - correct answer- -2
The table above gives selected values for the differentiable
function f. In which of the following intervals must there be a
number c such that f′(c)=2 ? - correct answer- (8,12)
lim (sinx)/e^x −1
x→0 - correct answer- 1
