CALC AB MC QUESTIONS AND ANSWERS
∫(x^2/4)ⅆx= - (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 ? -
(answer)y=−x+π/2.
d/dx(2(sin√x)^2)= - (answer)(2sin√xcos√x)/x
∫(x^2+1)/(x3+3x−5)^3ⅆx= - (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? - (answer)(0,2)
only
If x+3y^1/3=y what is ⅆy/ⅆx at the point (2,8) ? - (answer)4/3
ⅆ/ⅆx(x^5−5x)= - (answer)5x^4−(ln5)5^x
lim (10−6x^2)/(5+3e^x) is
x→∞ - (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 ? -
(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) ? - (answer)-8/9
∫1
−1 x^2−x/xⅆx - (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 ? - (answer)(8,12)
∫(x^2/4)ⅆx= - (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 ? -
(answer)y=−x+π/2.
d/dx(2(sin√x)^2)= - (answer)(2sin√xcos√x)/x
∫(x^2+1)/(x3+3x−5)^3ⅆx= - (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? - (answer)(0,2)
only
If x+3y^1/3=y what is ⅆy/ⅆx at the point (2,8) ? - (answer)4/3
ⅆ/ⅆx(x^5−5x)= - (answer)5x^4−(ln5)5^x
lim (10−6x^2)/(5+3e^x) is
x→∞ - (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 ? -
(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) ? - (answer)-8/9
∫1
−1 x^2−x/xⅆx - (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 ? - (answer)(8,12)
