Consider the following experiments: In experiment 1, a student uses a kickball, a soccer ball, and a measuring tape. The student kicks each ball with the same force and measures the distance each ball travels. In experiment 2, a student uses a kickball and a measuring tape. The student kicks the ball as hard as possible and measures the distance the ball travels. The student then kicks the ball half as hard and measures the distance again. Which experiment is the better test of how mass affects an object's motion? Choose 1 answer: (A) experiment 1 , because the student measures the distance each ball travels (B) experiment 1 , because the balls have different masses (C) experiment 2 , because the ball is kicked with different forces (D) experiment 2 , because the student uses the same kickball

*Encontrar la derivada de las siguientes funciones, utilizando el método de los 4 pasos. 1.- \( f(x)=x+3 \) 2.- \( f(x)=x^{2}+4 x-6 \) 3.- \( f(x)=-x+1 \) 4.- \( f(x)=x^{2}-18 x+4 \) 5.- \( f(x)=x+34+4 \) 6.- \( f(x)=-x^{2}-4 x+5 \) 7.- \( f(x)=x-3 \) 8.- \( f(x)=-x^{2}+8 x-23 \) 9.- \( f(x)=-4 x+35 \) 10.- \( f(x)=-2 x^{2}+3 x-3 \) 11.- \( f(x)=16 x+32 \) 12.- \( f(x)=9 x^{2}+3 x-3 \) 13.- \( f(x)=x-4+8-4 \) 14.- \( f(x)=23 x^{2}+4-2 x \) 15.- \( f(x)=16 x-8 x+2 x-3 \)

Assume that a sample is used to estimate a population mean \( \mu \). Find the \( 80 \% \) confidence interval for a sample of size 72 with a mean of 41.7 and a standard deviation of 15.7 . Enter your answer as an open- interval ( \( i . e . \), parentheses) accurate to one decimal place (because the sample statistics are reported accurate to one decimal place).

ind the maximum and minimum values of the function \( g(\theta)=2 \theta-8 \sin (\theta) \) on the interval \( [0, \pi] \) Minimum value \( =\square \) Maximum value \( =\square \)

You deposit \( \$ 4000 \) in an account earning \( 5 \% \) interest compounded monthly. How much will you have in the account in 5 years? Round your answer to the nearest penny. Don't include the dollar sign.

Find \( \frac{d y}{d t} \) if \( y=\frac{1}{u^{2}+u} \) and \( u=4+5 t \)