A family of solutions includes solutions to a differential equation that differ by a constant. For the following problem, use your calculator to graph a family of solutions to the given differential equation. Use initial conditions from y(t = 0) = −10 to y(t = 0) = 10 increasing by 2. Is there some critical point where the behavior of the solution begins to change? [T] y’ = x + y

What are remains or traces of prehistoric life called? a. indicators b. replicas c. fossils d. fissures

The Closed Fund is a closed-end investment company with a portfolio currently worth $200 million. It has liabilities of$3 million and 5 million shares outstanding. If the fund sells for $36 per share, what is its premium or discount as a percent of NAV?

Evaluate when $a = 7 \frac { 1 } { 5 } , b = - \frac { 6 } { 15 } , c = - 1 \frac { 1 } { 3 } ,$ and d = 9. $\frac { a } { b }$

Let S be the intersection of two cylinders of radius r whose axes intersect at an angle

$$\theta.$$

Find the volume of S as a function of r and

$$\theta.$$

Write the word sentence as an inequality. 1. A number w is greater than -3.

Complete each sentence with the correct vocabulary word or words. Distillation is a process that can separate two liquids using _________.

Solve each equation for solutions over the interval $\left[0^{\circ}, 360^{\circ}\right)$. If necessary, express solutions to the nearest tenth of a degree. $\sin 2 \theta=\cos 2 \theta+1$

a. Repeat the following procedure with at least five people. Write a conjecture that relates the result of the procedure to each person’s birthday. Take the number of the month of your birthday (January=1, February=2, ..., December=12), multiply by 5, add 6, multiply this sum by 4, and 9, multiply this new sum by 5, and add the number of the day on which you were born. Finally, subtract 165. b. Let M represent the month number and let D represent the day number of any person’s birthday. Use deductive reasoning to prove your conjecture in part (a).

After Congress has passed a law and the president has signed it, what what role is played by the executive branch?

What is the name for the place at which pedestrians cross the street?

Write the missing exponent. 27 = 3

Expressions that occur in calculus are given. Write each expression as a single quotient in which only positive exponents and/or radicals appear. $\frac{\sqrt{x^{2}+1}-x \cdot \frac{2 x}{2 \sqrt{x^{2}+1}}}{x^{2}+1}$

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