The volume of a solid is bounded by x + 2y + 3z= 6, y= x/4, z =0, and x =0. Provide a 3-D sketch of your solid. Make sure it is clear what part you are looking at (double bold lines). Also sketch the area of integration on a separate xy-plane. Use bold lines and use an “A" to mark where the area is.

Q: Q2/ Find the area of the region enclosed by the curves y = x , y=÷ & the line x = 2. x²

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Q: Find the area bounded by the curves -x + y² = 8, x = -2y and y = -2.

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Q: Solve by integration: Find the centroid of the region bounded by y=x3+3 and the lines x=0 and y=0.…

A: given functions are                                              y=x3+3x=0y=0…

Q: For the region bounded by x + y² = 20 and x + y = 0, decide whether to integrate with respect to a…

A: The given problem is to find the area of region bounded by given curves x+y2=20 and x+y=0.

Q: What is the area of the region bounded between the curves y = 6x and y = 4x? What is the area of the…

A: 1) The given curves are  y=6x2 and y=4x First equate both curves 6x2=4x  6x=4    x=23

Q: Find the area of the region bounded by y = 5-x2, y 2x+2, y=-x-1, a. in terms of x b. in terms of y y…

A: We will find out the required value.

Q: Find the area of the region bounded by x=e^y, x=lny, the line y=2, and the x- and y-axes. Expres the…

A: Four curves are given. One needs to find the area between them.

Q: Find the area between the curves Area = x = y² - 2y +36 x = -y² - 20y

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Q: Evaluate the area between x = y2 - 4y and x = 2y - y2.

A: Consider the given function as x=y2-4y and x=2y-y2