Do this results provide evidence that Shaq has significantly improved his free-throw shooting? Justify your answer with appropriate evidence.

Choose the letter of the answer that best completes the statement or answers the question. You are driving on a city street and have the green light. A pedestrian begins to cross the street ahead of you. You a. should tell the pedestrian to return to the curb. b. can drive behind him as he crosses. c. must change lanes. a. must stop even if the light is green.

Write a negation for each statement.

$$\forall x \in \mathbf { R }$$

, if x(x+1)>0 then x>0 or x<-1.

Solve the equation. Check your solution: k + 3 = −9

Write each number in standard notation. 4 x 10^6

Assume that all the given functions are differentiable. show that (curlz/curlx)^2+(curlz/curly)^2=(curlz/curlr)^2+1/r^2(curlz/curltheta)^2

Use the appropriate limit laws and theorems to determine the limit of the sequence or show that it diverges.

$$a _ { n } = \frac { 8 ^ { 2 n } } { n ! }$$

If E[X]=1 and Var(X)=5, find (a) E[(2+x}

$$^2$$

]; (b) Var(4+3X).

Perform the operations and simplify.

$$\frac { x ^ { 3 } + 1 } { 4 } \div \frac { x + 1 } { 2 }$$

Find f · g.

$$f(x) = 3^x$$

, g(x) = 5x² - 2

Graph each equation.

$$y = - x - 2$$

Find a subset of $S$ with the same span as $S$ that is as small as possible.

$$\begin{equation*}\begin{Bmatrix}\begin{bmatrix}1\\-2\\1\end{bmatrix},\begin{bmatrix}-2\\4\\-2\end{bmatrix},\begin{bmatrix}0\\0\\0\end{bmatrix} \end{Bmatrix}\end{equation*}$$

Isabel wonders whether a beach ball with a 50 inch circumference will pass through a basketball hoop with an 18 inch diameter. What do you predict? Justify your answer.

Write in slope-intercept form an equation of the line that passes through the given points. 14. (-1,5), (3,-3)