4- Find Ix and Iy For The Region Bonded by y=x² and y=Vx 5- Find the area of The Cirde x+9=4 From %3D 大 * to 大

Q: 1. Find the area of the shaded region. 3 y = Vx X 4 y = -x а.

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: Evaluate SII xdv, where Dis the region bounded by x-yz-0, X=0, 2•0, and yol. y=x+2 (back)

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Q: Sketch the region enclosed by y=4x and y=3x^2. Decide whether to integrate with respect to x or y,…

A: The solution of the problem is given in the next steps.

Q: 26 Find the area of the region bounded by, c. The curve y= In x, the lines x 4 and the x-axis. d.…

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Q: Find the area of the region. 5ex y = 1 + e2x y 4 3 x = In V3 2 1 -2 -1 2)

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Q: Sketch the region and find its area (if the area isfinite).   S = {(x, y)  x ≥ 1 ,  0≤ y ≤ 1/(x3+x…

A: Consider the equations in the given statements. First of all we will plot the curves and find out…

Q: Sketch the region bounded by the graphs of the equations and find the area of the region.

A: given,

Q: 10. Sketch the region bounded by the graphs of the given equations and find the area of that region…

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Q: 1. Sketch and find the area of the region bounded by y = In x, y =1- x and y = 2.

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Q: Sketch the region and find its area (if the area isfinite). S = { ( x, y) | x > = 0 , 0…

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Q: Sketch the region bounded by the graphs of y =3y = 0,x = 4, and x= 7. Then compute the area. Area is…

A: Solution is given below:

Q: Calculate the area of the region bounded by x+y = 4, r + y = 8, x = 0, and I = 5.

A: Given:         Area of region bounded by x+y=4…

Q: 1. Find the area of the region bounded by the graph of the equation r = 3 cose. %3D

A: Concept Used: Area in polar coordinates is given by Area=12∫abr2dθ

Q: Determine the area of the given region.

A: We have to find the area of bounded region shown in the given figure. The y limits are y = 0 to y =…

Q: Q/ Determine the area of the region bounded by y, =1- x², y2 = x – 1.

A: Sketch the region and integrate in x variable

Q: Compute the area of the region enclosed x² 5x X 1) y 2 2 2 +

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Q: 2. Determine the area of the region bounded by y = e=3, y = e*, and y = 2. y

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Q: 4. Sketch the region enclosed by y = 2x – x? and y = 0. Use calculus to find the exact area of this…

A: The solution is given below:

Q: Sketch the region and find its area (if the area isfinite). S = { ( x, y) |   -2< x <= 0  , 0…

A: The sketch will be as follows

Q: Find the area of the unbounded shaded region. 2x y = x2 + 5 y 1.0 0.8 0.6 0.4 0.2 1 3 4 In 6 2.

A: To find the area of the shaded region. Note that the area is bounded by the curves y=2xx2+5,…

Q: Sketch the region and find its area (if the area isfinite). S = { ( x, y) | x > = 1 , 0…

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Q: 9. Consider the region bounded by y = 14 – x? and y = x? – 4. a. Sketch the region. b. Find the…

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Q: 5. Calculate the area of the region enclosed by the graphs of y = 2r- r and y = 0.

A: We first find where they meet Plug y=0 in y=2x-x2 and solve for x

Q: Find the area of the region between y = 3x2 + 12 and y = 4x + 4 over [-3, 3] (Figure 12). y = 3r +…

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Q: 2.2. Sketch the region enclosed by y = VI-1, 1- y = 1 and calculate its area.

A: Area between the curves

Q: 2. Sketch the region and find the area of the region bounded by y = -x? + 9 and the x-axis.

A: The region is bounded by the curve y=-x2+9=-(x-0)2+9 and the x-axis.

Q: Find the area of the region. 1 x2 _ 2x +5 y%3D y 0.4 0.3 0.2 + -2 1 1 2 3 4 -0.2+

A: Thre require are Area=∫-∞∞ydx⇒Area=∫-∞∞1x2-2x+5dx⇒Area=∫-∞∞1x2-2x+1+4dx⇒Area=∫-∞∞1x-12+4dx

Q: 1. Find the area bounded by y= (11 - x)1/2, the lines 3x = 2 and x = 10, and the X-axis. 2. Find…

A: The given problem is to find the area between given curves and also find the volume of solid…

Q: 1) Sketch the region bounded by y = 1– x and y = x2 – x and find the area of this region. 2) Sketch…

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Q: y = ; y = -x², x = 1, x = 2

A: Area between curves

Q: 3. Determine the area of the region bounded by y = 2a2 + 10, y = 4r + 16, r -2andr = 5. %3D

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Q: 7. Sketch the region enclosed by the curves x = region. y4 and y = V2 – x for y > 0 and find the…

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Q: Find the area of the region enclosed by y = 3.25x and x = 7 – y?. 4 5 Use horizontal strips to find…

A: Given, The curves y = 3.25x  and x = 7-y2  We have to find the area of the enclosed region using…

Q: Find the area of the region enclosed between y=3sin(x) and y=3cos(x) from x=0 to x=0.6pi.

A: y=3 sinx, y=3 cosx, x=0 to 0.6π

Q: Find the area of the region enclosed by the graphs of 1 1 1 – 16æ²' Y = 0, x = 0, and æ NOTE: Enter…

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Q: 4. Ris the planar region whose area can be evaluated by: L,(x+ v2 – x) dx + S 2V2 – x dx. -

A: Given that, The area can be evaluated by, A=∫-21(x+2-x)dx + 2∫122-x dx We have to find the area.

Q: Find the area of the region enclosed by the graphs of 1 1 V1 – 36x2" y = 0, x = 0, and x 12 - NOTE:…

A: Area under curve

Q: Find the area of the region under the given curve from 1 to 5. x2 + 8 y = 6x – x2

A: The area under a curve is the area between a curve f(x) and the x-axis on an interval [a, b] is…

Q: Calculate the area of the region bounded by r +y = 4, x +y = 8, x = 0, and I = 5.

A: We use the formula to find area enclosed between two curves.

Q: 5. Find the area of the region enclosed by y = 4 – x², y = 3x and r-axis.

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Q: 8 Determine the area of the region bounded by y = y = 2x and x = 4

A: Given the region is y=8x,y=2x,x=4 Graph is given below

Q: 8z2. Decide whether to integrate with respect to z or y. Sketch the region enclosed by y = 7x and y…

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Q: Determine the area of the region bounded by: 3) z = e+v, z = e, y = -2 and y = 1

A: We will answer the first question as we don't answer multiple questions at a time. Please resubmit…

Q: Find the area of the region enclosed by the graphs of 1 1 y = 0, x = 0, and x = 8° V1 – 16x2 NOTE:…

A: The area bounded by the curves y=11-16x2, y=0, x=0, x=18 is shown in the figure.

Q: 16. Find area of the region enclosed by the lines and curve: x = y3 – y2 and x = 2y 3D

A: From the given curves the bounded region is shown as below. Now find the point of intersection…

Q: Find the area of the region bounded by the graphs of the equations.

A: Find area of region.

Q: 23. Find the volume of the solid formed by the region in the first quadrant bounded by: x = y-y3, x…

A: Consider the graph:

Q: Sketch the region enclosed by y=4x and y=2x^2. Decide whether to integrate with respect to x or y,…

A: The equation of curves are : y=4x and y=2x2

Q: 7. Find the area of the region bounded by y = 5x² +1, x = 0, x = 2,y = 0. Give a sketch of the…

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Q: 1. Find the area bounded by the graphs of y = 6 + x, y = x', and y breaking the region into two…

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