Calculate the volume under the elliptic paraboloid z = 4x2 + 6y2 and over the rectangle R = [-2, 2] × [-2,2].

Q: 18x, x=2, AOR = X-AXIS

A: Topic:- application of integration

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A: Let's solve differential equation.

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A: Topic:- application of derivatives        Slope of tangent line is first derivatives of curve at…

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A: topic:- application of derivatives

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A: Let's find Area of surface,when rotated about x axis.

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A: To fill in the blanks.a Suppose you hava a matrix x=12343456, then x...=35.b Suppose you hava a…

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A:

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A: Given :r=5ar=7bsecθ0<5a<7b

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A: 1f(D) eat = 1f(a)eat .

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Q: first order partial derivatives, i.e. dz/dx, dz/dy: xy³. z = In√√xy Z

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Q: Suppose that z = f(x, y) is implicitly defined as a function of x and y. Determine for 4x²z³ - 5yz²…

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Q: Graph the following function, showing all asymptotes and relative extreme points. 16 O TV.W.N f(x) =…

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Q: The equation implicitly defines as a function of t. Find dr dt da dt 11 2 cos (6 x) = -8

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A: Evaluate the function at the given function of the independent variable.

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A: answer is in next step. i am answering three subparts as per guideline.

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A: Topic = Derivative

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A: Consider the function

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A: The given function,    fx=7-x2,x≤cx,x>c

Q: II. L' Hôpital's Rule. Evaluate the following limits using L' Hôpital's Rule. 3-x 1. lim 1-3 2-8

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A: The given function, fx=6x-1

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A: On solving this we will get

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Q: |-2 Evaluate the triple integral ²³ cos (y²) dz dx dy.

A: Here we have to perform triple integration

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A: Solve the following

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A: Given query is to find the value of c so the function is continuous for the provided interval.

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Q: Question 1 [ 1 a. [ Use the method of multipliers to find the extreme value(s) of f(x, y) = x² + y2…

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Q: The series is divergent. Select one: O True O False n Σ (-3)" n=3

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Q: 10. lim 20-0 X In(x + 1) 3 f(x) -0.1 -0.01 -0.001 0 ? +

A: Please see the below picture for detailed solution.