# High school calculus questions and answers

Recent questions in Calculus and Analysis
Jayvion Caldwell 2022-07-27

### Solve the given differential equation by separation of variables.$\frac{dy}{dx}=\frac{{x}^{2}{y}^{2}}{1+x}$

Lilliana Livingston 2022-07-27

### Simplify. Write the answer as a single term without negative exponents. $\left({c}^{-}7+{d}^{-8}{\right)}^{-1}$

Israel Hale 2022-07-27

### Evaluate . ${\mathrm{tan}}^{-1}\left(\mathrm{tan}\frac{3\pi }{4}\right)$

Mauricio Mathis 2022-07-27

### The average price of a ticket to a baseball game can be approximated by $p\left(x\right)=0.03{x}^{2}+0.55x+9.67$, where x is the number of years after 1991 and p(x) us in dollars.a) Find p(4)b) Find p(14)c) Find p(14)-p(4)d) Find $\frac{p\left(14\right)-p\left(4\right)}{14-4}$, and interpret this result.

Caylee Villegas 2022-07-27

### Verify that $y=\mathrm{sin}x\mathrm{cos}x-\mathrm{cos}x$ is a solution of the initial value problem ${y}^{\prime }+\left(\mathrm{tan}x\right)y=co{s}^{2}xy\left(0\right)=-1$ on the interval $-\pi /2

Karsyn Beltran 2022-07-27

### Write a differential equation that represents thissituation.The rate of change of the mass A of salt at time t isproportional to the square of the mass of salt present at time t.

Shannon Andrews 2022-07-27

### Solve. ${\int }_{0}{﻿}^{1}\prod \left(\sqrt{\mathrm{cos}\left(\prod y/4\right)}{\right)}^{2}dy$

Luz Stokes 2022-07-27

### Determine which matrices are blackuced echelon form and which others are only in echelon form.x1 __+x3 = 1; x2+x3=1; 0+0+0=0

Damien Horton 2022-07-27

### Calculate the iterated integral ${\int }_{0}^{2}{\int }_{0}^{3}{e}^{x-y}dydx$

comAttitRize8 2022-07-27

### Simplify.$\underset{x\to 1}{lim}\frac{\sqrt{x-1}}{{x}^{2}+x}$and$\underset{x\to 1}{lim}+\frac{\sqrt{x-1}}{{x}^{2}+x}$

Marisol Rivers 2022-07-27

### Find the product of the pair of conjugates.$\left(2\sqrt{3}-\sqrt{7}\right)\left(2\sqrt{3}+\sqrt{7}\right)$

Patricia Bean 2022-07-27

### A water tower is located 325 ft. from a building. From a window in the building it is observed that the angle of elevation to the top of the tower is 39 degrees and the angle of depressionto the bottom of the tower is 25 degrees. How tall is thetower? How high is the window?

vangstosiis 2022-07-27

### Simplify.${\int }_{0}^{2}﻿2\pi y\left(\left(\frac{{y}^{2}}{2}\right)-\left(\frac{{y}^{4}}{4}-\frac{{y}^{2}}{2}\right)\right)dy$

ganolrifv9 2022-07-27

### Find the unit vectors that are parallel to the tangent line to the parabola $y={x}^{2}$ at the point (2,4)

Stephanie Hunter 2022-07-26

### If A and B are symmetric matrices, which of the following matrices is symmetric?a) ${A}^{2}-{B}^{2}$b) $\left(A+B\right)\left(A-B\right)$c) $AB\cdot AB$

klepkowy7c 2022-07-26

### Use the inverse trigonometric identities to find the exact value of the expression below.$\mathrm{sin}\left[\frac{\pi }{4}-{\mathrm{cos}}^{-1}\left(-\frac{1}{\sqrt{2}}\right)\right]$

Luciano Webster 2022-07-26