3 = 2y and a – 15 = (y – 6)², and compute its area. Sketch the region enclosed by the curves – A =

Q: Sketch the region enclosed by the given curves. y = 6 cos ax, y= 12x² – 3 y y 4| 2 -1.0 -05 d.5 1.0…

A: Area of the Region bounded by the curve :     If f(x) and g(x) are two continuous function on [a,b]…

Q: 1. Find Sp(r+2y)dA, where D is the region bounded by the parabolas y = r2, and y=1+2

A: I am going to solve the given problem by using some simple calculus to get the required result.

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Q: THE REGION BOUNDED BY 2y = x AND (x-2)² = − 4y + 12 15 REVOLVED ABOUT THE LINE Y = 4. DETERMINE THE…

A: Introduction: The washer method refers to this application of the slicing method. Because the slice…

Q: Find the centroid of the region bounded by y? = 14x and y² = 28(x – 7). NOTE: Enter the exact…

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Q: Find the area of the plane region bounded by the given curves: y= x^3, y= x + 6, and 2y+2 = 0

A: Explanation of the answer is as follows

Q: 9tind the voleime of the s0lid generated by revolving the region bounded by the given lines and…

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Q: Let R be the region enclosed between the curves r²=y-1 and y=5. Sketch R and find its area.

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Q: Find the area of the surface obtained by rotating the curve y = cos 2x, x is an element of  [ 0,…

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Q: Consider the region enclosed by the curves y = a2 +1 and y = 2r + 1:

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Q: The value of $ $(2xy - x²) dx + (x+y2) dy, where C is the enclosed curve of the region bounded by…

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Q: Evaluate: ∬ 〖4X d A〗 over the region R bounded by the parabola Y = X ^ 2 and the line X = Y-2.

A: Plotting the Curves on X and Y-axis : y = x2 ...............(1)y = x + 2 ..............(2)After…

Q: Sketch the region enclosed by the given curves. x = 9y2, x = 28 + 2y2 y y 21 35 30 1 25 20 5 10 15…

A: x=9y2,  x=28+2y2 The region is,

Q: Q3/ Evaluate: 1- SS (4x + 2) for the region enclosed by the curves y = x² and y = 2x 2- Show that…

A: 1. Consider a function of two variables, z=fx,y. The double integral of function fx,y is denoted by…

Q: 8. Find the centroid of the region bounded by the given curves, y = x² and r = y?. %D

A: Given that  The curves x=y^2 and y=x^2  To find the centroid of the region

Q: 1. Find the area of surface that is generated by revolving the portion of the curve y = V4- r2…

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Q: 3. Use a suitable change of coordinates to calculate the integral / x² – y² dA, where R is the R…

A: The region R is given by

Q: Q1// Sketch the region and Evaluate: || ve* dA Where D; is the region bounded by the curve y = vx…

A: The graph is as follows  The yellow colored region is the region D

Q: 3. Evaluate JS Vr2 + ydA, where R is the region bounded by the circles with center (0,0) and radius…

A: (3) Hello. Since your question has multiple parts, we will solve the first part for you. If you want…

Q: Find the area of the surface generated by revolving about the y-axis the arc C given by C = { (x,y)…

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Q: 3. Use a suitable change of coordinates to calculate the integral /| 1² – y² dA, where R is the R…

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Q: find the region endlased R by the cunes V=12-2y +1 and Y= -2+2x ャ4.

A: Answer

Q: What is the area of the region in the first quadrant bounded by the curves zy = 1, zy= 2, y = z, and…

A: Solve the problem

Q: 1. Find the surface area of the solid obtained by revolving the curve y = √25-x from = 9 to x = 16…

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Q: Find c > 0 such that the area of the region enclosed by the parabolas y = x 450. c and y = c – x² is…

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Q: Find the center of gravity of the region bounded by the x-axis, the curve y = sec x, and the lines x…

A: Consider the given question,The graph of the curve y = sec(x) and the line x = -pi/4, x = -pi/4 is…

Q: Find the area of the surface generated by e +e -y eY + e -y in the X= revolving the curve x= -In 3…

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Q: By a suitable change of variables, evaluate ſf, dx dy where D is the region in the first quadrant…

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Q: Evaluate |// e-V where E is the region between two cylinders z + = 4 and r +=9 with 1< y55 and : <0…

A: We will find out the required value.

Q: Sketch the region enclosed by the given curves. y = 3D 4 cos(5x), у %3D4 —4 cos(5х), 0 < x < T/5

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Q: Find the area of the surface generated when the given curve is revolved about the x-axis. y = 3x + 5…

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Q: 1. Find the area of the surface generated by revolving the given curve about the x-a (a) y = 7x,…

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Q: Sketch the region enclosed by the given curves. y =- y = 8x, y = x > 0 y y 6 4 3 3 2 1 1 X 2 4 -1 3…

A: Given that the curves are      y=2/x , y=8x , y=x/8 , x&gt;0 Here we have to sketch the region and…

Q: find the area of the x+y+z= 6 plane part remaining in cylinder x2 + y2 = 6

A: The area of the plane, z=f(x,y) remaining in a surface is calculated by the formula below .…

Q: (b) Find the area of the surface obtained by rotating the region bounded by the curves 7 35xy 5y12+…

A: To find the area of the surface obtained by rotating the region bounded by the below curves about…

Q: 8. Find the area of the surface of the region generated by rotating the curve y = x³ from x=0 to x=1…

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Q: 1.Find the exact area of the surface obtained by rotating the curve about the x-axis. y = 4 - x, 1…

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Q: Find the area of the surface generated by revolving the curve x = Vy, over the interval 8 sys 27…

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Q: Given the curve y = x' and the line y = 4x in quadrant Find the ordinate of the centroid y of the…

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Q: 2. Use polar coordinates to evaluate If y² dA, R where R is the region bounded by the line y = x,…

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Q: Evaluate 6xy dA over the region R enclosed between the curves R y = Vx, 2y = x, x = 2 and x = 4. %3D

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Q: Find the area of the surface obtained by rotating the given curve about the x-axis. y = v1+ ex, 0 <…

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Q: The volume, when the curve y = √3+ x2 from x = 0 to x = 4 is rotated about x-axis is O100m cu units…

A: Given:    y=3+x2 from x=0 to x=4  Volume of the curve V=π∫abfx2dx

Q: Calculate fSp(3x + 2y) dA where D is the region in the first quadrant that is inside the circle x2 +…

A: NOTE: According to guideline answer of first question can be given, for other please ask in a…

Q: Find the centroid of the region bounded by y? 8x and y? 16(x-4).

A: