Let z(x, y) = xe² where x = dx dy dz dt by first finding & and using the chain rule. dt dt Calculate dx dt dy dt || || t³&y= 4 + 4t. Now use the chain rule to calculate the following: dz dt ||

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A: Given query is to find why cross product produce vectors results.

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Q: 1. Find the equation of the tangent line to the graph of y=f(x) at x=-1, if fM)=3 and f(x)=ź

A: Since you have asked multiple questions in a single request we would be answering only the first…

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A: To write out the first five terms of the sequence with 1-7n+7nn=1∞, to determine whether the…

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Q: If the population of squirrels on campus t years after the beginning of 1855 is given by the…

A: Givens(t)=40001+21e-0.95t   We need to find t when s(t)=3600

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Q: Find the general solution of the equation. x5ex² + y dx + dy = 0

A: To solve the given differential equation

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Q: 2. For what values of "C" is the function & continuous on (-00,00) When fix)=2x+c.ifx<l [3x²+20,…

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A: Given query is to find first 5 terms and the limit.

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Q: Determine the open intervals on which the graph is concave upward or concave downward. (Enter your…

A: Here function we have given isy=5x+2sinx. And interval given in the problem is(-π,π). ⇒x∈(-π,π) Now…

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A: we will find the required.

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A: Given query is to find the point of relatives maximum.

Q: Consider the function y= x Find y'.

A: NOTE: Refresh your page if you can't see any equations. . take derivative

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A: Given a rational function5x+2(x+2)(2x-1)We need to perform partial fraction decomposition on it.

Q: Problem 4: Find the centroid of the area shown below.

A: The given shape of lamina is as follows:

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Q: Find the rectangular coordinates of the points that the polar coordinates are given. (2, 17π/6)

A: On solving this we will get

Q: Given f(x, y) = sin(x + y) where x = f(x(s, t), y(s, t)) = f(x(s, t), y(s, t)) = Question Help:…

A: we need to find out the partial derivatives.

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A: Given query is to find the ticket price for maximum revenue.

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Q: a. Use the Product Rule to find the derivative of the given function. b. Find the derivative by…

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Q: d'y 1 2 dx 2 dx6 + 142- dx5 -471- d dx4

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Q: Given f(x, y) = 3e¹2 sin(4y) then Vf(0, 1) - [

A: To find the gradient of the function

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Q: Given f(x) = x² + 3x + 4, what is 07+h 2x+h+3 Oh+4 Oh² +7h f(2+h)-f(2) h equal to?

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Q: A function f is said to have a removable discontinuity at a if: 1. f is either not defined or not…

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Q: 18. fixy=lnx, evaluate limpso f12th)-fias

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Q: fraction Find the partial decomposition for the retionel expression. 5 x + 8 (X + 8) (8X-1) =

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Q: Find the two values of k for which y(x) = ekx is a solution of the differential equation y'' - 8y' +…

A: d dx(ex)=exy(x)=ekx

Q: Can you also solve part D? Using this follow-up question for an additional subpart

A: To find the exact area enclosed by the graphs of fx and gx.

Q: What is the differential equation of the given 2 parameter family of solutions? 6 y = c₁e sin x +…

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Q: Consider the function f(x) = (x + 1)e. Determine each of the following. 1. Find the derivative…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: A box with an open top has vertical sides, a square bottom, and a volume of 4 cubic meters. If the…

A: A box with an open top has vertical sides, a square bottom, and a volume of 4 cubic meters. To be…