The period $T$ of a satellite circling Earth is given by $T^{2}=k R^{3}\left(1+\frac{d}{R}\right)^{3},$ where $R$ is the radius of Earth, $d$ is the distance of the satellite above Earth, and $k$ is a constant. Solve for $R,$ using fractional exponents in the result.

The ________ exocrine gland stores its secretion until the glandular cell ruptures, whereas the ________ gland releases its apical region and reforms. a. holocrine; apocrine b. eccrine; endocrine c. apocrine; holocrine d. eccrine; apocrine

What is the centripetal force acting on the moon?

Find the exact value of each expression. Do not use a calculator. $4 \csc \frac{3 \pi}{4}-\cot \left(-\frac{\pi}{4}\right)$

Divide and check:

$$( 18t^3- 24t^2 + 6t) \div ( 3t)$$

Simplify.

$$y^3\cdot y^6$$

Solve the equation. -10|16x + 4| - 3 = -3

Find the region on which the function is continuous. $f(x, y)=3 x^{2} e^{4 y}-\frac{3 y}{x}$

Write each expression in the standard form a + bi. $(\sqrt{3}-i)^{6}$

Calculate.$\int{\tan^{3/2}x\sec^4x}dx$

Determine whether the given points are collinear. Points are collinear if they can be labeled P, Q, and R so that d(P, Q) + d(Q, R) = d(P, R). (3. 4), (0, 0), ( - 3. -4)

a. State what is meant by the greenhouse effect. b. State the main greenhouse gases in the Earth’s atmosphere, and for each give three natural and three man-made sources.

(a) Write down the scheme using centered differences for the equation $u_{x x}+u_{y y}=f(x, y)$ (b) Use it with $\Delta x=\Delta y=0.5$ to solve the problem $u_{x x}+u_{y y}=1$ in the square $0 \leq x \leq 1,0 \leq y \leq 1$ with $u=0$ on the boundary (c) Repeat with $\Delta x=\Delta y=\frac{1}{3}$ . (d) Compute the exact value at the center of the square and compare with your answer to part (b).

Use the table below. Events A, B, and C are mutually exclusive; so are D, E, and F.

$$\begin{matrix} \text{} & \text{A} & \text{B} & \text{C} & \text{Totals}\\ \text{D} & \text{.20} & \text{.03} & \text{.07} & \text{.30}\\ \text{E} & \text{.28} & \text{.05} & \text{.07} & \text{.40}\\ \text{F} & \text{.22} & \text{.02} & \text{.06} & \text{.30}\\ \text{Totals} & \text{.70} & \text{.10} & \text{.20} & \text{1.00}\\ \end{matrix}$$

Test each pair of events for independence. D and F