Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region. Please show the steps and explain hw your got to the answer y = 4x^2, y=x^2+1

Q: Find the area of the shaded region. 6) 8 10 x

A: Solution: The objective is to find the area of the shaded region

Q: find the ara of the regien baunded bo the grafhs dt ths gitn eqution

A: Let R be the region bounded by the curves y=5x-x2 and y=xthe region is show in the graph given…

Q: -2 1 2 y = 0 4 y = x^3 - 8x^2 6 |▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬| 8 10 12 X

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Q: 6. Find the area of the region in the first quadrant which is bounded by y = 3x -8 and y=4-x a) 20/3…

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Q: Find the area of the region bounded by the graphs of the equations. y = 5x2 + 3, x = 0, x = 2, y = 0

A: We have to find the area.

Q: Find the area of the region in the first quadrant that is enclosed by the curves x=y, y=x-, and the…

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Q: Sketch the curves y = 8 − x^2 and x^2 and calculate the area of the regionbetween them.

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Q: Find the exact area of the region blinded by the curve y = x^2 - 6x and the x-axis. Include a sketch…

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Q: y = 6x² , y = 6/x

A: Given curves are: y=6x2 ; y=6x The points are: x=14 ; x=1 We know that the area (A) between the…