Calc BC exam UPDATED Exam Questions and CORRECT Answers

Calc BC exam UPDATED Exam Questions
and CORRECT Answers
If f(x)=cos^2(3x-5)


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



∫1/t√t dt= - CORRECT ANSWER - -2t^(-1/2) + c


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


f'(x)= - CORRECT 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? - CORRECT ANSWER -
{12,4y"(1)}


To what number does the series


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


Look at graph on #6


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


If ∫4 -10 g(x)=-3

, and ∫4 6 g(x)=5


then ∫-10 6 g(x)= - CORRECT ANSWER -8



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


The slope of the line tangent to the graph of y=xe^x

at x=ln2 is - CORRECT 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? - CORRECT ANSWER - 15/4


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


dy/dx= - CORRECT ANSWER -5



~(3x+1)/(x^2-4x+3)= - CORRECT ANSWER - 5ln[x-3] - 2ln[x-1] + c


Which of the following is a slope field for


dy/dx= x^2+y^2? - CORRECT ANSWER - look for graph where slope increases as y
increases


If f(x)=3x^2+2x


f'(x)= - CORRECT ANSWER - lim as h->0 (3(x+h)^2+2(x+h))-(3x^2+2x) / h