Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y=x. y-1, x- 21 about y -5 v= Sketch the region. 4 -1 -4 Sketch the solid and a typical disk or washer. Graph Graph Description Graph Graph Description Graph Graph Description Graph Graph Description 15 10

Q: 6. Find the total area between the region and the x-axis y = -x² – 2, –3 < x < 2 %3D

A: Find the zeroes of the function as follows. y=0-x2-2x=0x-x-2=0x=0, x=-2  The zeros divide the…

Q: Describe using words and a diagram, the region represented by z ≥ 2 and parallel to the xy plane.

A: Any plane parallel to xy plane is z = k. It passes through a point P(x,y,z) Here, z ≥ 2 , so point…

Q: Let the region R be the area enclosed by the function f (x) = x³, the horizontal line y = -1 and the…

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Q: 3. Playing with Areas Consider the following figure: A y = sec² 1 0 Find the area of the shaded…

A: Step 1:   Step 2: Step 3: Step 4:

Q: 2. The region between the graph of y = 4 - x² and the x-axis.

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Q: please draw the graph and explain it as well along the answer

A: Step 1:Solution-Step 2: Area under the curves is A and B. Step 3:Hence total area under curves is…

Q: Graph the equations and shade the area of the region between the curves. y = |x| and y = x2 %3D y y…

A: The given functions are y=x and y=x2

Q: Metal Plate A worker sketches the curves y = Vx and y = x/2 on a sheet of metal and cuts out the…

A:

Q: 28. Alcohol Concentration The following graph shows the ap- proximate concentration of alcohol in a…

A: We need to find area.

Q: Find the area of the region enclosed by the given curves. y = 13-x2, y=x2-5

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Q: 1 O + 2 56 8 The graph above shows the base of an object. Compute the exact value of the volume of…

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Q: Consider the following equations. F(y) = y2 g(y) = y + 2 Sketch and shade the region bounded by the…

A: Use curve and line to find the area by using integration.

Q: A graphing calculator is recommended. Sketch the region enclosed by the given curves. y = 0 y=9-x²…

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