Iwo curves having an equation of x = 2Vy and Compute the area between the two curves.

Q: Sketch the region enclosed by the curves and find its area. y = 2r ,y = 2VA.x = and.x = 1 Enter the…

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Q: Find the area between the curves. x = -1, x = 1, y = ex, y = 3 - ex

A: We have to find the area between the curves : x=-1 ,x=1 ,y2=ex and y1=3-ex

Q: Determine the area bounded by the curves y=sinhx, y=coshx, the y-axis and the line y=1.

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Q: Find the area between the curve y = -x< + 6x – 8 and the x-axis from x = 2 to x = 4. (Give an exact…

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Q: Find the area between the curves y – 0.5x = e and y = 2.1x + 1 from x=0 to x=3 Area

A: Explanation of the answer is as follows

Q: an arch of y = sin() %3D

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Q: Find the area between the curves. y = x2 and y = - x2+18.

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Q: Find the exact area between the curves y =x´ and y = 2 - x. %3D

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Q: Approximate the area under the curve y = x° from x = 0 to x = 3 using a Right Endpoint approximation…

A: The given curve is

Q: ㅠ y = 2sinx and y = 0 from x = 4 ㅠ to x = .

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Q: Find the area bounded by the given curves. Show solution properly with graph and label the graph.

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Q: 2. Find the area between the curves y = Vr -1 and r - y = 1.

A: Given curve is y=√(x-1) and y=x-1

Q: Find the area bounded by the curve y=x^3 -3x and the x-axis. Sketch the curve that are bounded

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Q: Find the area between the curves                                        y= x^3-x and y= x^2+x

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Q: Find the area between the curves. x = -1, x = 2, y = e-x, y = ex

A: Solution: Consider the given curves we have: x = -1, x = 2 andy = e-x, y = ex We have  Area =…

Q: Determine the area of the region in the first quadrant bounded by y = 2x, y = - x + 1, and the…

A: The graph is shown below:

Q: Find the area enclosed by the given curves. 11) Find the area between the curve y = 6x/(1 + x2) and…

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Q: find the area bounded by the given curve y=2x-x^2 and y=

A: The area bounded by the two curves is given by ∫abf(x)-g(x)dx where f(x) and g(x) are two curves on…

Q: Determine the area bounded by the curves y = 6x − x2 and y = x2 − 2x and illustrate an accurate…

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Q: Calculate the total area of the region described. Do not count the area beneath the X axis as…

A: Given: Bounded by the curve.y=1-x2And the lines x=-1 and x=2

Q: Find the area between the curves. x= - 2, x = 2, y =7x, y=x² - 8 The area between the curves is

A: Given,           x = -2,  x = 2,  y = 7x  and  y = x2 - 8

Q: Use the midpoint approximation to approximate the area under the curve of x² +1 on the interval…

A: In this question, the concept of Riemann Sum is applied. Riemann Sum To estimate ∫abfxdx, Riemann…

Q: Approximate the area under the curve y x from = with 6 subdivisions. 5 using a Right Endpoint…

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Q: Find the area between the curves y = 3 - x and y = x2 - 9: Exact value, show all work for full…

A: Given: y=3-xy=x2-9 To Find: Area between the given curves. Concept: i. If f(x) and g(x) are two…

Q: Find the area bounded by the curve f(x) = -x² + 10 and the x-axis. Give your answer correct to two…

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Q: Sketch the graph of y = 2x on the interval [0, 3]. Shade the area between the curve and the x-axis.…

A: We have to sketch the graph of y=2x on [0,3] And find the shaded area

Q: Find the area enclosed by the given curves y = 12x² region first. - 3 and y = 7 cos(Tx). You may…

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Q: Find the area between the curve  y = −x2 + 3x − 2  and the x-axis from  x = 1 to x = 2.  (Give an…

A: Given: Find the area between the curve  y = −x2 + 3x − 2  and the x-axis from  x = 1 to x = 2.…

Q: Sketch the region enclosed by the curves y = - 1+x2 and y = 5 – |x|. Find its area.

A: given curves are                                        y=-31+x2 and y=5-|x|

Q: Use a graph to give a rough estimate of the area of theregion that lies under the curve y = x √x…

A: Given: y=xx; x∈0,4 for finding area of region bounded by given curve, we first draw graph of it as…

Q: 2/ find the area between the cuove een the Curve 4-Jx-I and X-y=1

A: Area between curves

Q: Find the area between the curves y = 3  x and y = x2 9:

A: Given curves are, y=3x and y=9x2.

Q: Find the area of the region grapa) enclosed by the curves y= x* - 2 ( show y =2

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Q: Find the area between the curves y 0.7x and y = 2.4x +1 from x = 0 to x = 4. = e Area =

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Q: Find the area bounded by the curves y=sin x and y= cos x from x =0 tox= 7. Make a sketch and shade…

A: The region bounded by the curves y=sinx and y=cosx from x=0 to x=π

Q: Find the area bounded by the curve y = x3-12 x and the x-axis. Sketch the curve indicating the area…

A: We need to find the area between the curves y=x3-12x and the x-axis or y=0First we need to find the…

Q: Find the value of a and b if the curve +b) touches the x-axis at x=2 and line y=2x at the origin.…

A: Given curve is y=x(x-2)(ax+b) The curve touches x-axis at x=2 and the line y=2x at the origin. The…

Q: Find the area of the region bounded by the curve y=1--x? and the x-axis. 8 square units 4 square…

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Q: Find The Area Enclosed by the Curve x=7²-2t,y-VE and the Y-pris

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Q: Find the area under the curve using intervals of .5 Find Left and Right Endpoint Area units (X) each…

A: Introduction: The formula of the area of the function y=f(x) using left-endpoints is given by,…

Q: Find the area bounded by the curve f(x) = -x² + 7 and the x-axis. Give your answer correct to two…

A: We have to find Area bounded by the given curve and x-axis.

Q: Find the area bounded by: y = 2x – 4 from y =−2 to y = 4. Draw the curve and label the graph.

A: Consider the given: y=2x−4Limits:y=−2,y=4−2=2x−4 x=14=2x−4 x=4

Q: Use a graphing utility to locate the points of intersection of y = e −x and y = 1 − x2 and find the…

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

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Q: Find the area between the curves of y=x^2+1 and y=x+7 from x=-2 to x=3. I keep getting different…

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Q: Solve by integration: What is the area of the region enclosed by the curve y=x(x-1)(x-2) and the…

A: See the attachment

Q: Use a graph to give a rough estimate of the area of the region that lies beneath the given curve.…

A: Consider the following curve: y=3sinx,    0≤x≤π

Q: . Calculate the area bounded by the curve y= 4(x – 1) and the x -axis. A)

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Q: Find the area between the curves y = x² and y = 9x-2x². Draw a rough sketch of the %23 curves and…

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Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.