6. The acceleration of an object moving in a strange way \( h \) i been modelled as \( \boldsymbol{a}=\boldsymbol{e}^{x} \boldsymbol{x} \). a) Use integration by parts to find an equation to mod the velocity \( v \) if \( v=\int e^{x} x d x \). b) Is the problem any different if you find \( v=\int x e^{x} d x \) ?

Suppose \( \$ 30,000 \) is deposited into an account paying \( 3.5 \% \) interest, compounded annually. How much money is in the account after ten years If no withdrawals or additional depostte are made? \( \$ 42,317.96 \) \( \$ 40,500.00 \) \( \$ 44,350.50 \)

If \( f(x)=3 x^{2}-5 \) and \( g(x)=-2 x+5 \), then \( f(3) g(3)= \) a.) 22 b.) -22 c.) -2 d.) 2

1. \( u_{n}=3 n-5 \).

Which of the following is equivalent to \( \beta_{?} \) a.) 1 b.) -1 a.) 1 d.) -1

The vertical position \( y \) (in feet) of a rock \( t \) seconds after it was dropped from a cliff is given by the formula \( y=-16 t^{2}+14 t+200 \). The base of the cliff corresponds to \( y=0 \). How many seconds will it take for the rock to hit the ground at the base of the cliff? 3 seconds 6 seconds 8 seconds 4 seconds