11/21/24

Graph the integrand and use known area formulas to evaluate the integrals.
Graph the integrands and use known area formulas to evaluate the integrals∫-1 to 1 (2-abs(x))dx
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11/20/24

Find the length of the curve.
x=9t-3t^3, y=9t^2, 0<_t<_3
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11/20/24

Write a linear function g with the given values. g\left(0\right)=9 , g\left(8\right)=7
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11/20/24

How to solve this problem using Elimination?
Movie Ticket Sales ProblemA movie theater sells tickets at different rates: child (x), adult (y), and senior (z). On Monday, the theater sells 50 child, 100 adult, and 25 senior tickets for... more
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11/20/24

An investor invested a total of $3,500 in two mutual funds.
An investor invested a total of $3,500 in two mutual funds. One fund earned a 9​% profit while the other earned a 4​% profit. If the​ investor's total profit was $225​, how much was invested in... more
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11/15/24

how much was invested in each mutual​ fund?
An investor invested a total of ​$2,400 in two mutual funds. One fund earned a 5​% profit while the other earned a 3​% profit. If the​ investor's total profit was ​$94, how much was invested in... more
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11/13/24

math question please help

Find the slope of the tangent line to the given polar curve at the point specified by the value of 𝜃, 𝑟 = 1 + cos 𝜃 , 𝜃 = 𝜋/ 6.
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11/13/24

Let f(x)=x3-4x2+x+1. Use the tools of calculus to find the absolute minimum and the absolute maximum on the interval [0,3].

Let f(x)=x3-4x2+x+1. Use the tools of calculus to find the absolute minimum and the absolute maximum on the interval [0,3].
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11/11/24

Setting up integrals for the area.

Let R be the area in the first quadrant to the right of x = 1, above y = 2x^2, and below y = 6 + x.A) Set up an integral that would find the volume of the region R rotated about the x-axis.B) Set... more
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11/11/24

A 1125 cubic feet open-top rectangular tank, with a square base x feet on a side and y feet deep, is being built to catch runoff water.
A 1125 cubic feet open-top rectangular tank, with a square base x feet on a side and y feet deep, is being built to catch runoff water. A realistic cost function might beC(x) = 6(x2+4xy)+10xyWhat... more
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11/10/24

please help. I have been stuck for hours. None of my answers are showing correct
In the year 1985, a house was valued at $108,000$108,000. By the year 2005, the value had appreciated to $149,000$149,000. What was the annual growth rate between 1985 and 2005? Assume that the... more
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11/09/24

Slope and angle at theta
telephone line hangs between two poles 8 meters apart in the shape of the catenary curve 𝑦 =10 cosh(𝑥/10) − 5, where x and y are measured in meters.A. Find the slope of this curve where it meets... more
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11/07/24

Find a power series representation and What is the radius of convergence, R for all

a) f(x)= ln(1+x)(b) Use part (a) to find a power series for f(x) = x ln(1 + x).(c) Use part (a) to find a power series for f(x) = ln(1 + x4).
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11/07/24

please help!! urgent

Find the points on the given curve where the tangent line is horizontal or vertical: 𝑟 = cos 𝜃 + sin 𝜃.
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11/06/24

algebra 2 or algebra 1

Write an equation in standard form for the line that passes through the given points.(2, 7) and (−5, 2)
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11/06/24

∆ABC was transformed according to the rule (x, y) → (x, −y) to create ∆A'B'C'. What transformation justifies the relationship between the triangles?
 A translation 1 unit to the right and 1 unit down justifies ∆ABC ≅ ∆A'B'C'. A rotation of 90° counterclockwise justifies ∆ABC ≅ ∆A'B'C'. A reflection over the x-axis justifies ∆ABC ≅ ∆A'B'C'. A... more
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11/05/24

six times a number, added to -9, is -33
six times a number, added to -9 is -33
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11/03/24

Determine whether each of the following integrals is proper, improper and convergent, or improper and divergent.
Determine whether each of the following integrals is proper, improper and convergent, or improper and divergent. (I keep getting one wrong, not sure which). ∫[from 2 to ∞] (1 / √(x^3 + 8)) dx (I... more
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11/01/24

Integration stuff
Set up a single integral with respect to y that would find the area bounded by y = 3 sqrt(4-x), y = 1/3x+6 and y = 0. I can evaluate it... just, set up the integral and find the bounds?
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11/01/24

Bounded Integrals

Set up an integral that would find the area in the first quadrant bounded on all sides by x=1, y = 2x^2 and y = 3+5x. You don't have to evaluate it. Please don't show In a video because I cant see... more
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11/01/24

Homework Assignment
NASA launches a rocket at T=0 seconds. Its height, in meters above sea-level, as a function of time is given by . h(t)=-4.9t^2+151t+87 Assuming that the rocket will splash down into the ocean, at... more
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10/31/24

Area Between Curves

Sketch the region enclosed by the given curves. Decide whether to integrate with respect to c or y, Then find the area of the region, 2y+ 3sqrtx, y = 3, and 2y + 3 = 6
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10/31/24

Simplifying Complex Expressions|Please Help!
Use the quadratic formula to help identify the x-intercepts of the function f(x) = -x2 + 2x - 2. Write each solution in the form of x = a + bi. Use the quadratic formula to help identify the... more
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10/30/24

Please help with this question
In​ 2020, there were 15,800 students at college​ A, with a projected enrollment increase of 500 students per year. In the same​ year, there were 33,800 students at college​ B, with a projected... more
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10/30/24

\sum_(n=1 )^(\infty ) ((-1)^(n)ln(n))/(n)
(a) Determine whether the series is absolutely convergent, conditionally convergent, or divergent.b) Summarize your work and conclusions from part (a) in 5–7 complete sentences. Make sure to... more
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