Find the volume of the solid E whose boundaries are given in rectangular coordinates. E is bounded by the circular cone $z=\sqrt{x^{2}+y^{2}}$ and z=1.

Estimate the value of each expression. $5\dfrac{1}{12}-2\dfrac{7}{9}$

use the quotient rule to derive $\frac{d}{d x}(\sec x)=\sec x \tan x$

What statement do you have to have in a value-returning function?

Find the volume of the solid generated by revolving the region in the first quadrant bounded by the coordinate axes, the curve

$$y = e ^ { x }$$

, and the line x = ln 2 about the line x = ln 2.

The power emitted by an antenna has a power density per unit volume given in spherical coordinates by $p(\rho, \theta, \varphi)=\frac{P_{0}}{\rho^{2}} \cos ^{2} \theta \sin ^{4} \varphi$, where $P_0$ is a constant with units in watts. The total power within a sphere B of radius r meters is defined as $P=\iiint_{B} p(\rho, \theta, \varphi) d V$ defined as $P=\iiint_{B} p(\rho, \theta, \varphi) d Vv$. Find the total power P.

Members of Congress have from time to time argued in favor of a constitutional amendment that would require the federal government to maintain a balanced budget except in times of war. Discuss whether you think this would be a good idea. Be sure to explain the reasons for your point of view.

Quan and Kystal earned the same number of points playing the same video game. Quan played for 45 minutes and Krystal played for 30 minutes. Whose rate of points earned per minute was higher? Explain.

Why does Smirnov begin to change his mind about Mrs. Popov? At what climactic moment in the play do we know that she has changed her mind too?

How can the words be used to make a sentence in the present tense? Paquita / comer / pescado / porque / ser / bueno para la salud

Convert the given measure. 6302 L=_______ kl

Tell whether the relationship suggests direct or inverse variation. The time it takes you to hear the lightning after a strike and your distance from the strike

Find $y^{\prime}=\dfrac{dy}{dx}$using implicit differentiation.

$$x^{2} y=e^{x y}$$

What is the mass in grams of 3.25 mol $Fe_2(SO_4)_3$?