Find the volume of the wedge cut from the first octant by the cylinder z=63-7y and the plane x+y=3

Q: x X A rancher has 3000 feet of fencing with which to construct adjacent, equally sized rectangular…

A: It is given that the total length of the fencing is .Let  be the total length of the fencing.Then,…

Q: 3. Describe the level surfaces of the function. f(x, y, 2) = x² + 4y? + 42?

A: We Know that,  A level surface of a function w = f(x, y, z) with three variables is a surface f(x,…

Q: Exercise 3 Let f(x)=x³-9x² + 15x + 7. Find: 1- Areas of increasing and decreasing. 2- Local Maximum…

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Q: Find the dimensions of the rectangle of maximum area having two vertices on the x-axis and 2…

A: Let the rectangle has its two vertices on x-axis and remaining two vertices on the parabola y=4-x2.…

Q: Optimize the function f(x,y) = x^2+y^2 given the condition of x=y^2-5.

A: Answers are following in explanation step.Explanation:

Q: Y=24x^3-3x^4 = x^3(24-3x) What are the local and absolute maximum/ minimum and their coordinates

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Q: diffrentiate

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Q: .2 y = x", y = 2x, about the line x = 0 using the method of disks or washers. 4 Volume…

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Q: Anna is to create a garden plot to grow lettuce (area A) for her turtles, as well as flowers (area…

A: When the given curve y = 9 - x2 intersects the x-axis, we have                y = 9 - x2 = 0…

Q: When is integrating using the tabular method useful?

A: When is integrating using the tabular method useful?

Q: Find local extrema  f(x,y)=-x^2-y^2-5x-7

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Q: Integrate by change of variable, ∫∫R(x + y)e((x^2)-(y^2))dA, where R is the rectangle enclosed by…

A: We need to evaluate integral.