A company's marginal cost function is where x is the number of units. Find the total cost of the first 81 units (from x = 0 to x = 81). Total cost: $

Q: 1. Find the equation of the tangent line to the curve x = e', y = et at t = 1.

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

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A: To find the linear approximation at x=0 to the given functions using the formula:…

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A: Solve the differential equation

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A: Solution is done in step 2

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A: 13)f(x)=x34-4x14f'(x)=34 x-14 -414 x-34f'(x)=34 x-14 -x-34 f'(x)=034 x-14 -x-34 =03 x-14 =4x-34 34…

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A: Topic:- application of derivatives

Q: 32. If y=x^(3/2) what is the approximate change in y when x changes from 9 to 9.01? a. 0.045 b.…

A: Topic:- Basic maths  Note :- as per our guideline if more than one question uploaded than only first…

Q: A shelter rescues 4 cats for every 5 dogs. If they rescued 48 cats how many dogs did they rescue?

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A: Given: u=-2i+7j

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Q: Find the arc length of the parametric curve. x = 24 cos(t), y = 24 sin(t), z = 7t; 0<t< T L

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Q: 17-22 Use appropriate forms of the chain rule to find əz/du and əz/əv. I 17. z 3D 8x*у - 2х + 3у; х…

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Q: Find the relative maximum and minimum values. f(x.y)=x +xy+y° 28y + 261

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Q: Find the area of the region inside the circle r = 30 sin 0 and outside the cardioid r = 10 + 10 sin…

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Q: Evaluate the double integral. 7x*sin y²dA; Ris the region that is bounded by y = x³, y = -x³, and y…

A: double integral

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A: To find the inequality between b and c.

Q: d Calculate ri(t) · r2(t)] and r1(t) × r2(t)] first by differentiating d dt dt the product directly…

A: r1(t)=cost i+sint j +3t kdr1dt=-sint i+ cost j+3 kr2(t)=2i +t kdr2dt=k

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Q: dy 18. Given y = 5t ( 3 - t), t = In p and p = e*. Find and simplify %3D dx

A: Given: y=5t3-t, t=lnp, p=ex   As we know from the chain rule; dydx=dydt·dtdp·dpdx    .....(1)   The…

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Q: 2.1 Find the value of x and y from the given complex equation (-2 + i)x + 2y =1+ 3i. 2.2 Write the…

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Q: Compute f(x)dx (6 points) f(x) = { 2x if x<1 4 if x21

A: In this we have to do the integral of given function so I'm providing hand written solution for this

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A: Solution is given below:

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Q: 17. Let y = 4t + 3, t = 6e and s = 1 + In x. Find dy in terms of x. dx %3D

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Q: Current Attempt in Progress Express the iterated integral as an equivalent integr with the order of…

A: we have to change the order of integration.

Q: Question Specify which of the following sequences converge en n+V5 an =5- %3D n2 Cn = an and Cn the…

A: If limn→∞an  exists and is finite the then sequence an is converges.

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A: We have to find area of shaded Region.

Q: Use Green Theorem to Evaluate y x²dx – x²dy where C is left half of x² + y² = 25

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Q: z = 16 - x2 - y2 10 -8 1768 46 8

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Q: If D=d and Y= Cost The Cos X =

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Q: Find the limit. lim (t i - 9 j+ 1? k) lim (t i – 9 j+ k) = i+ j+ k i i i

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Q: If g(x) J.J S. 1 -dt , find g'(2).

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