A solid is formed between f(x) and the x-axis so each slice (perpendicular to the x-axis) is a right triangle whose base = height. Represent the volume of this solid as a definite integral. Volume =

Q: Draw the area bounded by function y = x^2 + 1 and line y = 5, then calculate the volume of the solid…

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Q: Calaulate the volume between 2= 12x°+ay2 Vax? 2. and 2 = 6- 2x- 2y?

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Q: where y=f(x), 8y^2 = x^2-x^4 , of the curve segment X-axis write the surface area of ​​the rotating…

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Q: How large should n be to guarantee that the Trapezoidal Rule approximation to 8 n = 4 (-x¹ + 22x³ -…

A: (a)How large should n be to guarantee that the Trapezoidal Rule approximation  to is accurate to…

Q: Find the center of mass of a thin plate of constant density covering the given region. The region…

A: We have to solve the given problem.

Q: Find the centroids of the function, y=4x-x^2, y=x (please sketch the graph)

A: Let's find.

Q: How can you use line integrals to find the centers of mass of springs or wires? Explain

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Q: Find Volume, y=1/sqrt(8) x^2, y=sqrt(x), revolve x-axis & y-axis

A: To find the volume of the solid generated by revolving the region: y=18x2,y=x about x-axis and…

Q: the volume of a sphere is V = (4/3)pi*r^3 a. find the differential of V b. use the differential of V…

A: This is question of calculus Here shape is given we have to find volume of that.Further calculation…

Q: A body T with the parameters  (1/2)(sqrt(x^2)+(y^2))≤z≤sqrt(16-(x^2)-(y^2) Use the sphere…

A: The given problem is to find the volume of the body formed by the cone and spherical region, we have…

Q: find: The center of the area for the shaded region.

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Q: Find the area of the plane region that lies below the line y = 2x and between the parabolas y= 2x^2…

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Q: Find the surface area generated by rotating x=4*sqrt(t), y= ((t^3)/3)+(1/2t^2), 1<=t<=3 around the…

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Q: Deteremine the area between the curves x= y^2+1, x=5, y=-3, y=3.

A: The given region is bounded by curves x=y2+1, x=5, y=-3, y=3. To Find: Area of the region bounded by…

Q: Rotate the graph of g(x)=e^(−6x) on the interval [0,8] about the x-axis to generate a surface with…

A: Given that g(x)=e-6x To find the surface area by rotating the graph of g(x) on the interval [0,8]:

Q: Determine the area bounded by the curves y^2 = -4x and y = 2(x+2).

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Q: The total amount of a cylinder inserted into a hemisphere of radius 1 unit Finds the maximum value…

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Q: enclosed

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