Suppose that , g(t) dt = v2. Find g(t) dt b. du а. -3 g(r) dr [-g(x)] dx d. с. -3 V2

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A: Given query is to find the Indicated integral.

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Q: x+1_y+2 :-1 34. I-1y-1 z+1 and 3

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Q: Evaluate the integral using the following values. x³ dx = 260, x dx = 10, 9. dx = 2 10 xp

A: The given question has been solved in detail

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Q: 2r? xp : Vi – 4x³

A: The objective of the question is evaluate the indefinite integral.

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Q: Find dx at x--3 if y-5x-2 and Do NOT Round.

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Q: Problem #3 Find intervals on which f (x) = -3x² + 54 In x is increasing and decreasing

A: Topic = Function

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Q: Suppose the Sunglasses Hut Company has a profit function given by P(q)=−0.03q^2+6q−48 where qq is…

A: Given problem:- Suppose the Sunglasses Hut Company has a profit function given by P(q)=−0.03q2…

Q: Use Part I of the Fundamental Theorem of Calculus to find the derivative of the function. 8(x) = f…

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Q: Evaluate: (12t - 9t2 + 7)dt 01

A: We need to evaluate : ∫0312t3-9t2+7 dt

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Q: cerve X= Si▪ (Zt), y=Gs(±t), them dvaw the Culve

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Q: | (6e"+6x° +4 cos x + 2)dx = %3D 6e + x° + 4 cos x + 2x + c O e – x° + cos x + 2 + c 6 O e + x° 4…

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Q: 7. Find the linear approximation to f(1) = VI at a = 27. a. Use it to approximate 27.2. b. Use a…

A: Given problem:- Find the linear approximation to f(x)=(27)(1/3) at a = 27 . a. Use it to approximate…

Q: The function gives the cost to manufacture x items. C(x) = 25,000 + 50x + 800 ; x = 150 Find the…

A: We want to find average cost per unit of manufacturing.

Q: Q1- Find the maximum vate of change of Rexy) t -ツ fcxy) = Xe fCxg) = Xe at the point (e,o) %3D

A: Given problem:- Find the maximum rate of Change f(x, y) = xe-y at point (2,0)

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Q: Given the triangle 30 find the length of side x using the Law of Sines. /44° 26° Round your final…

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Q: A farmer finds that if she plants 40 trees per acre, each tree will yield 35 bushels of fruit. She…

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Q: Find the points on the curve y = 2x3 + 3x2 – 12x + 1 where the tangent line is horizontal. (х, у)…

A: Given: As no method is mentioned, we will be answering by graphical method.

Q: Quly Please paots of antegation Solve the tollowing the 17 3. 3

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Q: Note: Below we are using t as the variable for angles instead of 0. 1 Consider the following…

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Q: Find the following indefinite integrals. x* – 5x dx. 2. x3

A: Answer is given below.

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Q: Find an equation of the tangent plane to the surface at the given point. g(x, y) = arctan 2, (4, 0,…

A: Given problem:- Find an equation of the tangent plane to the surface at the given point.   g(x, y) =…

Q: b) [E 1: Consider the series 22-2n 5 n+1 i) Show that the given series is geometric series. ii)…

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Q: Find the gradient of the function at the given point. w = x tan(y + z), (5, 8, –1) Vw(5, 8, -1) =…

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Q: Suppose that f, g(t) dt = /2. Find g(1) dt g(u) du а. b. c. [-g(x)] dx 'g(r) dr d.

A: Follow next step

Q: 3. A piece of wire of length shape of an equilateral tr should the wire be cut sa a) a minimum? b) a…

A: L: length of the wirex: one piece of wire cut from length LPerimeter of the equilateral…

Q: write the equation (a) in cylindrical coordinates and (b) in spherical coordinates, please? x^2 -…

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Q: The volume V of an ideal gas varies directly with the temperature T and inversely with the pressure…

A: P∝TP∝1VPV=k T .....(1)where, k is proportionality constant.P1=18 atmospheresV1=120…

Q: 2 2. Evaluate the iterated integral 6x'y dady

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Q: Suppose that a g(t) dt = v2. Find g(1) dt b. g(u) du а. [-g(x)] dx /"g(r) с. d. dr -3

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Q: Use any method to find the relative extrema of the function f (x) = 6x + 13xs. If there is no…

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A: On solving this we will get

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Q: 28./2 р< 3, п/2< ф< п T

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Q: Use the method above to find the distance from the point P(-3, 1, 2) to the line through A(1, 1,0)…

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