Solve the linear system by graphing. Check your answer x = y + 2 y = 2x

Solve and tell whether the equation has 1 solution, no solution, or infinitely many solutions.

$$6+3m-4=-5+3m+7$$

Find the area of the region bounded by the curve

$$x = \frac { 1 } { 2 y } - \sqrt { \frac { 1 } { 4 y ^ { 2 } } - 1 }$$

and the line x=1 in the first quadrant. (Hint: Express y in terms of x.)

Find the indefinite integral by the method shown in the previous example. \

$$\displaystyle\int(x+1) \sqrt{2-x} d x$$

You are working in a busy obstetrics/gynecology (OB/GYN) office. The last patient of the day is P.B., a 27 -year-old who is being married in 2 weeks. She wants to use birth control but is not sure what to choose. Her fiancé and she are both in graduate school and have limited health insurance, so she is anxious not to become pregnant right away. She asks you to review the various methods and help her explore what is best for her.

P.B. comes back in a week and tells you that she can get a low-cost oral contraceptive (OC) through a local store. You convey this information to the nurse practitioner, who examines P.B. and writes a prescription for a biphasic 28-day pill pack containing ethinyl estradiol and norethindrone. You are asked to discuss the use of the OC pill with P.B. When should P.B. take her first OC?

What happens to biodiversity as succession progresses?

Find the indefinite integral $\int\left(\frac{1}{x^2}+\frac{1}{x}+e^{-x}\right) d x$.

Which conquistadors overthrew the Aztec and Inca Empires?

In triangle $A B C$, find the length of the altitude to side $B C$ to the nearest tenth.

$$a=25.4, b=33.4, c=51.5$$

In this exercise, use a calculator to evaluate the expression. Round your answer to two decimal places.

$$\tan ^{-1} 11.4$$

Find the indefinite integral. \

$$\displaystyle\int \frac{\cos t}{1+\sin t} d t$$

Point $M(x, y)$ is the midpoint of $\overline{C D}$ with endpoints $C(5,9)$ and $D(17,29)$. Show $M C=M D$.

In given Problem compute the indefinite integrals.
$\int\left(\cos x+\cos ^2 x\right)$ dx

Calculate the volume, in milliliters, of a 0.215 M KOH solution needed to neutralize each of the following: 18.5 mL of a $0.560 M$ $\mathrm{HNO}$_3$ solution