Review the risks of sexual intimacy. Which risk would be most likely to keep you from being sexually intimate? Give a reason for your choice.

Let $V$ be a vector space, and let $T : V \rightarrow V$ be linear. Prove that $T^{2}=T_{0}$ if and only if $R(T) \subseteq N(T) .$

(2x+7)(x-1)=0

When Tamara's friends complain about how Dillon treats Tamara, she usually makes excuses for him. She says that he is under a lot of pressure and that her behavior often angers him. What advice would you give Tamara about her relationship with Dillon?

Use Stokes’ Theorem to evaluate $\int_{C} \mathbf{F} \cdot d \mathbf{r}$. C is the boundary of the portion of $z=4-x^{2}-y^{2}$ above the xy-lane, oriented upward. $\mathbf{F}=\left\langle x^{2} e^{x}-y, \sqrt{y^{2}+1}, z^{3}\right\rangle$.

Is the statement true or false? If f(x) is an even function then f(g(x)) is even for every function g(x).

Let G = W4, the wheel on four spokes. Assign the weights 1, 1, 2, 2, 3, 3, 4, 4 to the edges of G so that (a) G has a unique minimal spanning tree; (b) G has more than one minimal spanning tree.

What do you see as the most important problem that can arise within a social media friendship? Use an example to support your answer. How would you handle the problem?

What are four possible risks of sexual intimacy?

Jordan has been your steady date for six months. You like Jordan, but want to start seeing others. What would be a caring way to tell Jordan how you feel?

Find each product. $(5 r-s)^{3}$

Determine whether each function is one-to-one. Explain your reasoning. a. $f(x) = x - \left \lfloor{x}\right \rfloor$ b. $f(x) = x - 2\left \lfloor{x}\right \rfloor$ c. $f(x) = x - \left \lfloor{2x}\right \rfloor$ d. $f(x) = x + \left \lfloor{x}\right \rfloor$ e. $f(x) = x + 2\left \lfloor{x}\right \rfloor$ f. $f(x) = 2x - \left \lfloor{x}\right \rfloor$

A solid circular bar ABCD with fixed supports at ends A and D is acted upon by two equal and oppositely directed torques $T_{0}$. The torques are applied at points B and C, each of which is located at distance x from one end of the bar. (The distance x may vary from zero to L/2.) (a) For what distance x will the angle of twist at points B and C be a maximum? (b) What is the corresponding angle of twist $\phi_{\max }$?

Use inequalities to describe R in terms of its vertical and horizontal cross sections. R is the region bounded by $y = x^2$ and y = 3x.