CALC BC EXAM WITH 40 QUESTIONS & CORRECT ANSWERS

CALC BC EXAM WITH 40 QUESTIONS & CORRECT
ANSWERS



If f(x)=cos^2(3x-5)


f'(x)= - ANSWER--6sin(3x-5)cos(3x-5)


~1/t√t - ANSWER--2t^(-1/2) + c


If f(x)= (5-x)/(x^3+2)


f'(x)= - ANSWER-(2x^3-15x^2-2)/(x^3+2)^2


The position of a particle moving in the xy-plane is given by the vector
{4t^3,y(2t)}, where y is a twice-differeniable function of t.


At time t=1/2, what is the acceleration vector of the particle? - ANSWER-
{12,4y"(1)}


To what number does the series


E (-e/pi)^k converge? - ANSWER-pi/(pi+e)


Look at graph on #6

, Which of the following is true? - ANSWER-lim as x->a of f(x)


does not equal


f(a)


If ~4 -10 g(x)=-3


and ~4 6 g(x)=5


then ~-10 6 g(x)= - ANSWER-8


The length of the curve y=sin(3x) from x=0 to x=pi/6 is given by - ANSWER-~0
pi/6 √1+9cos^2(3x)


The slope of the line tangent to the graph of y=xe^x
at x=ln2 is - ANSWER-2ln2+2


Let y=f(x) be the solution to the differential equation dy/dx= x-y with initial
condition f(2)=8. What is the approximation for f(3) obtained by using Euyler's
method with two steps of equal length, starting at x=2? - ANSWER-15/4


If x^2+xy-3y=3, then at the point (2,1)


dy/dx= - ANSWER-5