$$\int_{ }^{ }\frac{1}{x^2+4x+5}dx=$$  

The table gives values of the continuous function f at selected values of x. If f has exactly two critical points on the open interval (10, 14), which of the following must be true?

$$\lim_{x\rightarrow-\infty}\frac{3+2^x}{4-5^x}\$$  is

The graph of g', the first derivative of the function g, consists of a semicircle of radius 2, and two line segments, as shown in the figure. If g(0)=1, what is g(3)?

A particle moves along the x-axis so that at any time $$t\ge0$$  , its acceleration is $$a\left(t\right)=-4\sin\left(2t\right)$$  . If the velocity of the particle at t=0 is v(0)=7, and its position at t=0 is x(0)=-, then its position are time t is x(t)=

If $$\frac{dy}{dx}=x^4-2x^3+3x-1$$  , then $$\frac{d^3y}{dx^3}$$   evaluated at x=2 is

The graph of y=f(x) is shown above. What is the limit of f(x) as x approaches 0?

If $$f'\left(x\right)=3x^2+2x$$  , and f(2)=3, then f(1)=

$$\int_{ }^{ }6e^{3x}dx=$$