Problem 7: Find the derivative of each of the following functions. 2t (a) g(x) = f*2 2 + dt fx² -2 t³+1 (b) h(x) = sinx dt 2x 2 1+t²

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Q: log(3x+5)+4=6

A: Given, log(3x+5)+4=6

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

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A: To find:- I=∫∫D3x+2dA

Q: Use the Direct Comparison Test to determine the convergence or divergence of the series. 6n+n 5-1 00…

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Q: 5a Compute the values of dy and Ay for the function ye dy Round your answers to four decimal places,…

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Q: If a firm has the following cost and revenue functions, find the break-even points. + 1/2 x ²…

A: NOTE: Refresh your page if you can't see any equations. . given the cost and revenue functions are

Q: Evaluate the integral: 2₂4-2² J O*[] π 2 [1-4] 021-]+0 O O 4T e4 dydx -√4x² ex²+y² +C

A: To evaluate the following integral.∫-22∫-4-x24-x2 dy dxex2+y2

Q: B Verify that the Mean Value Theorem can be applied to the function () — 4 on the interval 0,16]…

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Q: P lim 71 200 an (n!) ² (2n)! is: = O A. convergent O B. divergent OC. The Ratio Test is inconclusive…

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Q: 53. f(t) = 2 cos t + sin 2t, [0, π/2]

A: given 53) f( t ) = 2cost + sin2t interval - [ 0 , π2 ]

Q: Question 4 What are the associated roots for R(x) in the differential equationy"-y= R(x) whereR (x)…

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Q: 68. π/2 0 cos x sin (sin x) dx

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Q: Find the absolute maximum and absolute minimum values of f(x) = (x²-4)³ on [-2,3].

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Q: Determine the convergence or the divergence of the series: Σ2inn n=1

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Q: Find the Laplace transform of the following functions. (a) S6 0 < t ≤ 3 = 2 t≥ 3 {{ f(t)

A: according to bartleby guideline we do only first part of muktiple questions f(t)=6  0≤t≤32   t≥3from…

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A: A detailed solution is given below.

Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. 0 0 -L-…

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Q: Evaluate the following double integral over the region R by converting it to an iterated integral.…

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Q: its hard to understad in the form its written in. can you  pllease write on a paper

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Q: Find all real numbers k, if any, for which 2 -4 and 4 no real solution for k -2 and 2 4 1,² x³ dx =…

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Q: Find lim h(x), if it exists. X→ 00 f(x) = 2x³ – 7 - (a) h(x) = lim h(x) = X→∞0 (b) h(x): f(x) x² (c)…

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Q: Q4. If f(x, y) = e³xyIn(2x) then will be ду 3ye 3xy In (2x) c. ye ³xyIn(2x) a. b. d. 3xe3xy In(2x)…

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Q: Evaluate the following integral, (x² + y² + z²) ds, √(x² + where S is the part of the cylinder x² +…

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Q: the derivative of the following using the Four-Step Rule. 1. x/1-x

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Q: find the particular solution of 3ydx=(3x+2ye^-4x/y) dy x =0 ; y=1

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Q: Find the area of the region enclosed by: y = cos x, and y = √√√3 sin z over the interval of [0, π]

A: Given: y=cosxy=3sinx

Q: Use chain rule to find fås for f(x, y) = 2x + 4xy − y² with x = s + 2t and y = t√√s.

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Q: Let y be a function of x and suppose x = ln(x² - y2). What is the correct value for the derivative…

A: Topic = Derivative

Q: The height (in meters) at time t (in hours) of a balloon is given the formula h(t) = -20tª + 80t.…

A: The height (in meters) of a balloon at time t (in hours) is given by ht = -20t4+80t…

Q: D. -5 Ar 우 선

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Q: g(x) = (x − 2)(3x + 1)(x + 4); only power rule

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Q: Is the following series convergent or divergent? 1 Σ Inn n=2

A: Given data, ∑n=2∞1lnn

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Q: Find the volume of the solid in the first octant 2 bounded by the cylinder z = 4 - y² and the plane…

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