Q4/ The region between the curve y=√x, 0≤x≤4, and the x-axis is revolved about the x-axis to generate a solid. a) Determine its volume. b) If the curve is revolved about the y-axis between the same limits, determine the volume of the solid of revolution produced.

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Q: !

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A: Given function : f(x,y)=(y+2x2)2x4+y2    for (x,y)≠(0,0)0                    for (x,y)=(0,0)

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A: NOTE: Refresh your page if you can't see any equations. . . take x=-4

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A: as per company guidelines we solve only first question when multiple question being posted

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A: We have to find the area of the shaded region.

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A: Topic:- calculus

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A: We can find partial derivative of the given function .

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Q: A = -3 0 17 1] 506 803

A: Topic =Matrix

Q: 3. Consider f(x) defined as follows: f(x) = 5x² + 13x + 6 |x + 2| [4 − 3x] + x, 2 x<-2 x ≥ −2…

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Q: f(x, y) = x² - 2x +1+3y².

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Q: 4. Find the value(s) of x when f(x) = 5 ln(x) is normal to 3x + 4y = 3.

A: Normal to curve means the straight line and the tangent to the curve are in perpendicular.

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A: Limit

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A: Topic:- application of limits

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Q: 5. Write the given number in the polar form 2+2i a) -√√3+i b) (1 + i)18

A: A detailed solution is given below.

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A: The given differential equation is; y'=y/[x+sqrt(xy)].

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Q: Ok, but how do you find Fxy = 0? I do not understand how we recieve Fxy?

A: Given function:- fx,y=x2+y2-2y