26. Given two functions, find the area between the two curves, where you will need to algebraically find the limits of integration. Determine the area of the region bounded by y cosx and y sinx between x = t/4 and a. =5Tt/4 Determine the area of the region bounded by the two given functions f(x) = -x + 4 and b. g(x) x2 +3x-1

Q: 1) Find the area of the region above the x axis and to the left of the line x = 1 bounded by the x…

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Q: Set up the definite integral required to find the area of the region between the graph of y=x2-17…

A: First draw the curves and find their intersection  points then use integration to get the area.

Q: 5. Find the equation of the line x = k that divides the area enclosed by the graphs of x = Vy,x = 3…

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Q: _3. For the enclosed regions bounded by y = x3 - 6x and y = -2x in the graph, what is the integral…

A: *concept:- let's two vertical strip of dimensions dx & dy within the enclosed region, then…

Q: 2. The area bounded by y=3x+4 and the curve y=x2 is revolved about the line x =5.

A: 2) The area bounded by the given curves is:

Q: 3. Find the exact area between the curve f (x) = -2x² + 12x + 7, the x-axis, and x=1 and x=5.

A: As mentioned, use the sigma formula to find the area A. Plot the curves. Divide the area between the…

Q: 16. Find the area bounded by the curve y=-x³--x²+3x and the line y=x. 16 4

A: 16)Given,y=x316-3x24+3x and y=x

Q: 5. Find the area between the curve y, =x² - 4x +12 and y, = x² from 0<x<4

A: Given curves are y1=x2-4x+12y2=x2 Also 0≤x≤4

Q: Consider the region bounded by g(x)=7x−6 and f(x)=x2+19x+14. Find the area, in square units, between…

A: The given two curves that bounds a region is,

Q: 1) Find the area of the region above the x axis and to the left of the line x = 1 bounded by the x…

A:

Q: The area between y = n + x* and the x- axis in the interval [0, 1] approximated using left endpoint…

A: Find your answer below

Q: 4. Find the area bounded by the curve a²y = x³, the x - axis, and the line x = 2a. Solve in two…

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Q: 4. Find the area of the region bounded by y = cos x, y = sin x, x = 0, x = %3| might have to break…

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Q: 1. Find the area between the curves x2-y = 9 and the line y 2x-6

A: Since you have posted multiple questions in this question which are not interlinked so I do only…

Q: The area of the region bounded above by yx+7. bounded below by vey2, bounded from the left by x2 and…

A: The given region is as shown. Now, It is bounded above by y=x+7 and below by y=x2. So, the upper…

Q: 1. Find the area between the curves x2-y2 = 9 and the line y = 2x-6

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Q: b) Find the area between the 2 curves f(x)=x²+4-4x and x-axes and border with the two lines = 5 &x=…

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Q: 1. Determine the area bounded by curves y = -x² + 4x + 3 and y = −x³ + 7x² − 10x + 5 over the…

A: We have to find the area bounded by the curves.

Q: 1 Find the area bounded by the curve y=- =-=-—-—-x³-3³² x ² + 16 4 -x2 + 3x and the line y=x.

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Q: What is the area of br^2 of the region bounded by

A: The given question is taken from the calculus in which we have to find the area bounded by the given…

Q: 1.) Find the equation of the line tangent to f(x) = 6 ln(7– 3x)+5e-4 – 6x – 2 at x = 2 2.) Find the…

A: According to the guidelines issued by the company We are supposed to answer only one question.…

Q: Set up the definite integral required to find the area of the region between the graph of y = 13 –…

A:

Q: A factory selling cell phones has a marginal cost function C(x) = 0.01x“ – 3x + 229, where x…

A:

Q: Find the area between the curve y=2x+4x-6 and the x-axis from x =-2 to x= 3.

A:

Q: Set up the definite integral required to find the area of the region between the graph of y = 12-2²…

A: we have to find out area

Q: 8. Find the area between the curves y = x x² and y = x2 – 4x between x = O and x = 2.

A: For calculating the area between curves first of all we will draw the schematic diagram of the…

Q: 8. Find the area bounded by y = (11 – x)7, the lines 3x=2, x=10, and the x-axis.

A: We have to find volume of solid generated by revolution.

Q: 1. Given the function f(x) = 400x5-900x* +657x³ - 200x² + 25x + 0.2 with integration limits from a =…

A: We are given f(x)=400x5-900x4+657x3-200x2+25x+0.2 a=0, b=0.8, n=5 (five segment) then…

Q: 1. Find the area of the region bounded by the curves y=sin X16 , y = 0, and x = 6 obtained by…

A: topic - Area bounded by curves

Q: A population of E. coli bacteria will grow at a rate given by w'(t)=(3t+2)^1/3 where w is the weight…

A: Given :- A population of E. coli bacteria will grow at a rate given by w't = 3t+213  where w is the…

Q: If the region is enclosed by y=x^2 and y=2x, find the exact area by a definite integral

A: Answering the question for the area enclosed between 2 curves as the 1st question is incomplete.…

Q: 4. Find the area of the region bounded by y = sin x) and y = x² – 8x. Be sure to provide a graph of…

A: The region is bounded by,      y=sinπ8x and y=x2-8x

Q: 1. The area bounded by the curves y x2,y 0, x = 2,x = 5 is 39. 2 is 10

A:

Q: 1. Determine the area of f (x) = 3 + 2x – x² and above the x axis. - X - 3x 3 3 2. Determine the…

A: To find the area of f(x) and above the x-axis, use the formula, A=∫-13f(x)dx and substitute f(x)…

Q: Can i get help step by step?

A: We graph y=7x using a graphing calculator  The graph cuts  x-axis at x=0  So over the interval…

Q: 1. Find the area of the region bounded from the right by the curve x = 4 - y2 , from the left by the…

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Q: Find the area under the curve y = lines x = 1 and x = 5. 3x² + 4x + 1 bounded by the x-axis and the

A: Area under the curve y=3x2+4x+1 bounded by x-axis and x=1 to x=5.

Q: 3. Find the area bounded by the curve y = x² - 7x + 6 and the x-axis and the ordinates x 2 and x =…

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Q: 2 Set up the definite integral required to find the area of the region between the graph of y = 20 –…

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Q: 1. Find the area between the curves x2-y 9 and the line y 2x-6 %3D

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Q: What is the slope of the curve y = ex at x = ln 2? What is the area of the region bounded bythe…

A: Consider the curves, y=ex,x=ln2 Differentiating with respect to “x” then, dydx=ddxex=exTo  calculate…

Q: 14. (a) Find the area bounded by the curves y = 2x² and y = 4x. %3D (b) Two cars both start on a…

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Q: 1. Find the area of the region bounded by the curve y = f (x) = |a² – 4| and the lines x = -3, and x…

A:

Q: A factory selling cell phones has a marginal cost function C(x) = 0.01x? – 3x + 229, where x…

A: Given C(X)=0.01x2-3x+229      And R(X)=429-2x Where X is the number of cell phones

Q: 19. (a) Find the area bounded by the curves y = 2x2 and y = 4x. (b) Two cars both start on a journey…

A: Given two functions: y=2x2 and y=4x To find a) Area under the two curves b) If two curves represent…

Q: Set up the definite integral required to find the area of the region between the graph of y = 20 –-…

A:

Q: Consider the region bounded above by f(x)=−x^2+9x+7 and below by g(x)=8x+5. Find the area, in square…

A: Here  the region bounded above by f(x)=−x2+9x+7and below by g(x)=8x+5 over the interval [−1,2]

Q: 4 Find the area bounded by the curve y = the x - axis, and the vertical lines x = -2 x²+4 and x = 2.

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Q: Find the area bounded by the curve f(x) = x³ + 3x² – 4x – 5 and x-axis from x = -3 to x = -1 using:…

A: Consider the given area bounded by the curves as y=x3+3x2-4x-5 and the x axis from x=-3 to x=-1. Let…