x = y(y – 3)(y + 1) y = 2 iog The diagram shows the curve x= y(y- 3)(y+ 1). Calculate the area of the shaded region enclosed by the curve, the straight line y =L and the y-axis.

Q: Find the area of the region described. The region between the line y =x and the curve y = 2xv4 -x in…

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Q: anu moments about the x- and y-axes for the region bounded by the graphs of the equation y = x2 - 25…

A: Given Region is bounded by curve y=x2-25   and y=0

Q: x³ - y = 0 Determine the area bounded by the curves x² and y + 3x² 4 = 0, using a vertical element.…

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Q: Q1: Find the area for the region lies between the line y = x - 2 and the curve x² = -y.

A: As per Bartleby answering guidelines expert should answer only 1st question so please post 2nd…

Q: Find the centroid of the thin plate bounded by the graphs of the functions g(x) =x(x- 1) and f(x) =…

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Q: Q2 : Use the graphing utility to find the area of the region enclosed by the curves y = x - 2x, y =…

A: The main objective of the given question is to find the area of the region enclosed by the…

Q: (a) Sketch the curve, y =-x' +16. Then, find the area between the curve and the x- axis over the…

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Q: The boundaries of the shaded region are the y-axis, the line y = 1, and the curve y = Vx. Find the…

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Q: Find the area of the region enclosed the curves y= x2 -1 and y= 8. The area of the region enclosed…

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Q: (b) A region R is bounded by the curve y=2x-4 +1 and the line 2y-x=0. (b) (i) Sketch and shade the…

A: Given equation of the curve is: y=2x-4+1 Given equation of the line is: 2y-x=0 It is given that…

Q: True or False:- in the given question , determine whether the statement is true or false. If it is…

A: Region of interest. point of intersection is (0,0) and (0,0.793700526) we found the point of…

Q: Consider the manufacture of 1 L capacity tin cans where the cost of the er cm metal used to…

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Q: f(x) 7xe-x, y = 0, 0 <x < 1 ketch the region bounded by the graphs of the equations. 3- 2- y 3

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

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Q: Find the area of the region enclosed by the curves y = x - 3 and y 1. The area of the region…

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Q: The area enclosed by the curve x2 +y² = 25 is revolved about the line x -10=0. Find the volume…

A: Given curve is  x2+y2 =25 This is equation of a circle of radius 5 and center at (0, 0). Line x = 10…

Q: Linear Approximate the change in the lateral surface area (excluding the area of the base) of a…

A: We have

Q: Using differentials, determine the approximate increase in the surface area of a sphere if the…

A: Topic:- application of derivatives

Q: Question / Find the area of the region bounded by the curve y2=4x and the lines x = 1 and x 4. A…

A: We will find the area of region bounded by the curves.

Q: A tank on the wing of a jet aircraft is formed by revolving the region bounded by the graph of the…

A: Explained below

Q: S f(x,y)dA It posits only in the region bounded by; the x-axis, y - 2 = 0, www y + x - 5 = 0 and x =…

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

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Q: 2. Let R be the region bounded by the parabola y = x? - 2x + 5 and the lines x = 3 and y = 4. Find…

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Q: Find the area of the region bounded by the parabola y = ax2, the tangent line to this parabola at…

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Q: the area of the region bounded by the curve y=e^2x the x axis the y axis and the line x=2

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Q: 35. A cable is to run from a power plant on one side of a river 900 m wide to a factory on the other…

A: We will solve the following

Q: Find the area of the region enclosed by the given curves. y= arctanx, x-axis, x=1

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Q: 15 The line given by y image of the line after dilation is given by y = x + 10. What is the scale…

A: Method: If a line y=mx+b Dialed by scaler factor n Then equation of image is y= mx+n(b)

Q: Find the area of the region between the curves y = x^3, y = -x, and y = 1. Round off to two decimal…

A: Explanation of the answer is as follows

Q: 3. Find the area bounded by a curve y? = 6x + 36 and the y - axis 4. Find. the area bounded by y =…

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Q: M The diagram shows the curve y = (x+ 1)e* and its maximum point M. (1) Find the x-coordinate of M.…

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Q: How do you define and calculate the area of the surface swept out by revolving the graph of a smooth…

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Q: x+y = 6 6x y = X+1 In the figure above, Ris the region bounded by the line r+y = 6, the curve 6x and…

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Q: Volume of the region beneath the surface z= xy and above the rectangle 0 SXS1,0sys2 is given by:

A: To find the volume of the region of the surface z = xy  above the rectangle z = xy The limits are z…

Q: y-axis The Horizontal line y = c intersects the curve y = 2x = 3x° in the first quadrant as shown in…

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Q: The area of the region enclosed by the parabola y = x - 6 and the line y = x.

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Q: ind the area of the blue region. It is the area under the curve. y y = 3x+1 y=7-x 6 8 4 2 4 00

A: Follow next step

Q: X= 3 YA y? = 9(x + 1) B %3D 8)x= The diagram shows part of the curve y = 9(x+1) that intersects the…

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Q: y = x2 of the closed region bounded by the curve and the lines y = -1, x = -1, x = 2 find the area

A: Area of a region bounded by a curve y=f(x) and the x-axis between the points x=a to x=b is given by…

Q: egion e-(22+)dA, R: The region bounded by the curve y = V1- 1 and 10. Evaluate the r-axis.

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Q: a) Find the number a such that the line x = a bisects the area under the curve y =1/x, 1 ≤ x ≤ e^2…

A: (a) y = 1x   ;   1≤x≤e2    (i) Plot  y = 1x    (ii) We are given          area I= area II⇒ Area of…

Q: Find the area of the region enclosed by the curves between their intersections. y = 8x and y= /x The…

A: Given: y=8x2     and  y=x

Q: Find the area of the region between the curves y = x^3, y = -x, and y = 1. Round off to two decimal…

A: topic- area bounded by curves

Q: Find the surface area of the solid that is obtained by rotating the graph of y = f (x) about the…

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Q: e area of the region bounded by the positive x-axis, y-axis, the line x = 6 :

A: We have to find out the area of the region bounded by the given curves.

Q: Suppose a lamina (an essentially 2-D object) has the shape of the region between the graph of y = x,…

A: It is given that, mass density per unit area is δx=2x g/cm2. Here you have to notice that mass…

Q: The region bounded by y = √x, y = 2, x = 0 about a. the x-axis b. the y-axis c. the line x = 4 d.…

A: Given: The curves are y=x, y=2, x=0. To find: The region bounded by y=x, y=2, x=0 about the…

Q: area of the region bounded by the curves 8x =y³ and 8x = 2y³ + y² – 2y is ct one: a. 37 96 b. 4 C. 9…

A: We have to choose the correct answer from the given option

Q: An area is enclosed by the curve y = 2x + x^2 - x^3 and the x - axis. Find %3D the area below the…

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Q: Find the scale factor of the dilation. Show Your Work 15 P' P k= 0.6 - If P(x, y) is the preimage of…

A: In the given question we have to find the scale factor .