Find the area between the graphs of y = x and y = (x – 2)- | O 9/2 O 4 O -9/2 O 1

Q: (21) Let y be a function of r. Find y'(x). Leave your answers unsimplified. (a) y =…

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Q: 4-x 16-x²-y2 Fx*+y° dzdy dx

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Q: In x2 lim

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Q: Area under the curve y = 4 - x2  from x=-3 to x=3

A: Please see the answer bellow.

Q: Find the limit (If it exists). (If an answer does not exist, enter DNE. Round your answer to four…

A: This question can be solved using the concept of limits.

Q: 1 lim xcosx Xcos x

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Q: Find dy If y=1-t and x2 dx

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Q: Determine whether the Mean Value Theorem can be applied tof on the closed interval [a, b]. (Select…

A: Given function  f(x) = x /(x - 25)          Let's check mean value theorem.

Q: Two particles have positions at time t given by S1= 4t - t2 and s2 = 5t2 - t3. At the instant the…

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Q: Use the properties of limits to help decide whether the limit exists. If the limit exists, find its…

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Q: Which equations parameterize the line from (3, 0) to (-2,-5) so that the line is at (3, 0) at t = 0,…

A: We know that the parametric equations of the line from x0, y0 to x1, y1 are given by xt = x0 + x1-x0…

Q: Using the method of undetermined coefficients, what is the modified form for a particular solution y…

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Q: 8 Given a function: f(x) (х-7)(х-1) Write down the definition that lim f (x) = L X→a 8 Prove that…

A: use the definition of limit to simplify it

Q: Find the derivative of the function. 11) y = cos x4 A) dy -4 sin x 4 B) dY - sin x4 dx C) dy - -4x4…

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Q: find p, when it converges

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Q: find area between line y=-2+x and y=x^(1/2) and x-axis

A: This question can be solved using the concept of area under curves.

Q: The value of the triple integral /I| 2x dV where E is the region E inside both x2 + y + z? = 36 and…

A: See the solution in below

Q: Use synthetic division to divide f(x) by x- k for the given value of k. Then express f(x) in the…

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Q: Which of the following angle measure is coterminal with an angle whose measure is 798°? -78° -278°…

A: Let the angle be theta.

Q: Part B. Find the equation of the circle of curvature of the curve y = 2x* – x at its minimum point…

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Q: The auxiliary roots of the auxiliary equation associated with a certain HLDE are m=±3, ±3i, + 3i.…

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Q: Find the area of the region enclosed by the curves y=x'and y = 4x. (Show clear work!

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Q: e*(1-e*) (1+ x)[ In(1–x)] 12. lim, 0 'x0

A: Recall: If we have 00 form then we apply L'Hospital Rule.i.e, limx→a f(x)g(x)  = limx→a f'(x)g'(x)

Q: 1. Describe the transformations of the graph of y=vx to obtain the graphs of the following…

A: b.The given function y+4=-2x

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Q: The function s(t) describes the motion of a partide along a line. s(t) = 12t – 2 (a) Find the…

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Q: dy Use implicit differentiation to determine given the equation zy + cos(x) = e". dz dy y + sin(z dr…

A: The detailed solution is given below Thank you

Q: Find the particular solution to the differential equation d?y = 4e* + 3x² dx2 dy given y = -3 and dx…

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Q: 8 Given a function: f(x) (х-7)(х-1) Write down the definition that lim f (x) = L X→a

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Q: 1 (27) Evaluate the integral: (5t + 4)2.7

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Q: Evaluate the limit using techniques from Chapters 2 and 4 and using L'Hoptal's Rule. 3(x-7) Iim x…

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Q: sec x lim X0 n x

A: Here we have to find the limit.

Q: Find the area of the following shape, 212 2/2 9/2

A: We have to find the area of the given shape

Q: (21) Let y be a function of . Find y'(x). Leave your answers unsimp (a) y = arcsin(arctan(2anx)), a…

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Q: Supply the missing integrand and limits of integration. (3x² – 2xy + y³) dx dy = .dy (36–4y)dy (56–…

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Q: The curve with equation y? = 2x³3+ 10a² is called a Tschirnhausen cubic. Find the equation of the…

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Q: Perform the operation or operations when possible. - 2 [14]: 4]+| 8 O A. They cannot be added. Ов.…

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Q: Suppose f(x) is a function that satisfies the following inequality for all x: 1+3 cos(x) < f(x) <…

A: Solution: The given inequality is

Q: 11. y = x + Vx

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Q: 1. Using proof by contradiction, prove Let n be an integer. If n- is even, then n is even.

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Q: 2. Find the volume of solid generated by revolving the area bounded by x=y2+2, x=0 and y=2 sbout: a)…

A: Given problem:- Find the volume of solid generated by revolving the area bounded by x = y2 + 2 , x =…

Q: The graph of the profit function in the last problem looks like this: This indicates that the…

A: This question can be solved using the concept of relation between price,demand and revenue.

Q: Sketch a graph that shows f'(x) and f''(x) are always negative

A: answer is in next step

Q: Let f (x) =: 5 +e'+ tanx+ 12*+Vx. Find f (x). For the toolbar, preco

A: On solving this we will get

Q: Converting 49T radians to degrees will correspond to which value? (A -1746° -1674° -1764° -1476°

A: topic - radian to degree conversion

Q: the product z1 z2 in polar form? Z1 = 3 cis z2 = 4 cis - cis (금) cis () 7x 2 cis ()

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Q: Evaluate the limit, using L'Hôpital's Rule If necessary. (If you need to use m or -co, enter…

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Q: A cylindrical tank of radius 5 ft and height 9 ft is two-thirds filled with a liquid of weight…

A: Note that the work done here can be given by: W=∫abρπr2h where ρ is the density, r is the radius and…

Q: Find sin 0, where 0 is the angle shown. Give an exact value, not a decimal approximation. sin 0 = 5…

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Q: lim (1+ X00

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