Consider the spherical equation given by p sponding equation in Cartesian coordinates. 4 cos sin o. Determine its corre-

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A: Given;  Limx-infinity [sqrt(x2+x) - sqrt(x2+4)]

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Q: -133x So 33x dx 0.6698 0.6670 0.6671 0.6699 O

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Q: dx √x-3√x X ffv)dy, find fly)

A: solution:-∫64729dxx-x3dx=∫64729dxx12-x13dxlet x=y6 or y=x1/6x=64,     y=641/6=2x=729,…

Q: Evaluate Limx→13 x²-1 O a. infinity 5 O b. 2 O C. 0 O d. none of these O e. 2²/33 25

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Q: The area between the curves f(x) = x², and g(x) = 1 O 1/2 sq units O 1/4 sq units 4/3 sq units 1/3…

A: Topic:- application of integration

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A: Please see the below picture for detailed solution.

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Q: A cube with 20-cm-long sides is sitting on the bottom of an aquarium in which the water is one meter…

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Q: Part I: PARAMETRIC EQUATIONS. Find the second derivative of y the curve and draw the tangent line…

A: First derivate with respect to t then derivate with respect to x to get desired result

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Q: the sum of two numbers is 40. express their products as a function of one of the numbers.

A: Let's express product of two numbers as a function of one number.

Q: (D^5-3D^4+8D^3+16D^2-9D-13)y=0 nonhomogeneous undetermined coefficients

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A: Here, the given curves are: y=2x-x2 & y=0 The area bounded by the curve is:

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A: We have to find the intersection point of given curves.

Q: Consider a point in Cartesian coordinates given by (3√√/3, −3, −8). (a) Find a corresponding…

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A: If f and g are continuous on a,b, then ∫abfxgxdx=∫abf(x)dx∫abg(x)dx

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Q: Find and classify all critical points of the function 3 f(x, y) = x³ + 2y - In(x³y³) Item 5.pdf

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A: find out the derivative of the function.

Q: 4 -1 서 sy9921 dyiyF0 ry ; yfo

A: Solution of given question is written in below steps.

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A: To find the work done.

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Q: y''+y'=0 where y(0)=0, y'(0)=1 laplace transform of derivatives

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Q: Write the parametric equations in the given Cartesian form. X = x = 2t - t³, y = 9 - 2t

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Q: dx Using Rationalizing Substitution S- -=Sf(y)dy, find ff(y)dy- X√√x-1

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