Using the integration by parts method, / -13x e ¹+13e ¹+C 13e ¹ + C O 13x e¹ O-13c e 13e+C O 13r e 2 + 13e + C 13x e ² dx =

Q: Consider the function f(x) = 3x² - 2x +9, 0≤ x ≤ 10.

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Q: H.W: Solve the following equations: .24 5. 3. By J. B

A: Given differential Equation:- 3xy'-y+x2y4=0

Q: er Derivatives 2.) What is d² y dx² Period when y=cos(2x³)

A: 4) The given function is; f(x)=lnx, x=3.

Q: 27 Given the demand equation = 15+ ―, where p represents the price in dollars and a the р number of…

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Q: Find the linear approximation of the function f(x)= = √x at a= 1, and use the linear approximation…

A: NOTE: Refresh your page if you can't see any equations. . the given point is x=1 so the point on…

Q: 1) A culture of cells is placed in a petri dish and is allowed to grow. The population of cells is…

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Q: In an extensive study of cost functions for 40 firms in Great Britain, it was found that if x is the…

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Q: Which of the following will the limit lim x² - 6x +9 lim x -3x² - 4x +3 2 x²-8x+16 x-3x²-6x+8 lim…

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Q: For the function f(x,y,z) = 4x - 3y 5z + 1 find fx, fy, fz, and fyz. 9

A: f(x,y,z)= (4x-3y)/(5z+1)

Q: Find the absolute maximum and absolute minimum of the function f(x) = -2 sin² (x) over the interval…

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Q: Solve the equation. (Give an exact answer. Do not round.) 52-8- 2x-7 6 x= 41/3 X

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Q: Evaluate the triple integral E 2x dV where E = {(x, y, z)/0 ≤ y ≤ 2,0 ≤ x ≤ √4-y²,0 ≤ z≤y}

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Q: 2 x² dx √4-x² 2

A: Let's solve given integration.

Q: Find the derivative y'(x) implicitly for the equation y' (x)= 4x + 3 y 2x + ³.

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Q: Assume that I and M are real numbers such that lim_f(x) = L and lim_g(x) = M. Let c be x→a x→a a…

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Q: Let f(x)=√4x² + 4x + 2 f'(x) = f'(4) = (round to 3 decimal places)

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Q: If ƒ(x) = (x² + 4x + 8)², then f'(x) = f'(3) = places) (round to 3 decimal

A: f(x)=x2+4x+82 f'(x)=ddxx2+4x+82   Let, g(x)=x2+4x+8 So, the function can be written as:…

Q: Given y = f(u) and u = g(x), find (1) × ² y=9u-2,u= dy dx = f(g(x))g'(x).

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Q: on given by P(q) = -0.02q² +5q-31, where and produced, and P(q) is the total profit, in of…

A: Here profit function is given to us.

Q: [(5x²³ -2.r²+3)dx

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Q: 8 ln(sin(x)) 8x tan(x) +C

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Q: Find the absolute maximum of the function f(x)=x²-1x +4 on the interval [0, 2]? (a) The absolute…

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Q: Find the derivative y'(x) implicitly for the equation y' (x)= 9x+8 V = 2x + 1³.

A: The given equation 9x+8y=2x+y3 We have to find the derivative using implicit derivative.

Q: Exercise 2 The given limit lim h→0 (3-(2+h)²+2)- h Definition of the derivative represents the…

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Q: f(x) = sin² x, find f'(x) Find f'(4) (round to 3 decimal places)

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Q: 5. Dairy King has a "Super cone" that has height of 12 inches and radius of 1 inch on the bottom and…

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Q: Given the graph of f(x), which value is the f(6)-f(5) least: f(5), f'(5), or ? 6-5 -2 f(5) f'(5) 50-…

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Q: Evaluate the limit: lim 02 does not exist lim √(0+1)²-1. Q→-2 0 1 0

A: Put Q= -2

Q: Given the function 8(x)=. 2 3 Which of the following will lead to the solution of the domain of…

A: Here is the solution:

Q: O 62 sin² (1) da = In(sin(x)) + 6 In(sin(x)) In(sin(x)) + In(sin(x)) (Apply integration by parts…

A: ∫u(x)v(x)dx=u∫v(x)dx-∫ddxu(x)∫v(x)dxdx ∫cotxdx=ln|sinx| ∫csc2xdx=-cotx

Q: The composite function theorem allows for the demonstration of which of the following statements? O…

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Q: Find the critical numbers of the function. h(t) = 3/4 - 2¹/4

A: Topic = Derivative

Q: If f(x) = sin(x¹), find f'(x) Find f'(2) (round to 3 decimal places)

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Q: Using the graph of f(x), what is lim f(x)? X→ 1 1. 0 -1- -2+ 2 3 5

A: According to given graph  At x = 1 Given graph goes to 0

Q: Consider the following. y = x² y = 6-x 4 (a) Find the area of the region by integrating with respect…

A: Note: Since you have asked multiple questions we will solve the first question for you. To get the…

Q: 1. Determine if the following series converge or diverge. Make sure you state which test you use to…

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Q: ✔ BOTTOM LINE QUESTION Find the antiderivative tan* tdt.

A: NOTE: Refresh your page if you can't see any equations. . use the integration rule

Q: 6 For the function f(x,y) = x e 5xy, find fx, fy, fx(1,5), and f,(-1,-1). 'X'

A: Given the function is  fx,y = x6 e5xy.

Q: Determine the area of the region bounded by two the curves f(x)=x²-18x + 28 and g(x) = 9x + 14.

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Q: Determine whether the sequence converges or diverges. If it converges, find the li 8 an ³,₁ = (1 +…

A: solution:-an=1+8nnDivergent testlimn→∞an=limn→∞1+8nn=elimn→∞ n1+8n=elimn→∞ 1+8n1n     {00 form}using…

Q: Find the solution of the following differential equation. 1. (x² - 1) + 2y (x + 1)²

A: As per our guideline we can solve one question you can repost other question

Q: f(x,y,z) = 4x5+2xy-4z4 f(x.V.Z) =

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Q: A farmer finds that if she plants 100 trees per acre, each tree will yield 45 bushels of fruit. She…

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Q: The following table gives the monthly premiums for an insurance policy on people of various ages. a.…

A: NOTE: Refresh your page if you can't see any equations. . x=age y=monthly premium x y 35 120…

Q: Charles 'n Marge sell custom-build cabinet units for motor homes. The function P(x) = 2x² + 700x -…

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Q: Gravel is being dumped from a conveyor belt at a rate of 40 cubic feet per minute. It forms a pile…

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Q: Find fx(x,y) and fy(x,y). Then, find fx (2,- 4) and fy (-4,4). f(x,y) = 4x cos (лу) fx(x,y)= (Type…

A: Implicit differentiation is done and then values of x and y are substituted.

Q: 3 x³ - 2-x. If ƒ (4) = 6 and dy = (f(u) +3.x)² an and u= x -2 = 18 when x = 2, find f'(4). Let y =

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

Q: Find the inverse Laplace transform L-¹{F(s)} of the given function. 12 s² + 16 Your answer should be…

A: To find the inverse Laplace transform L-1Fs of the given function.Fs=12s2+16

Q: 8.) What is the 20th derivative of y=sin(2x)?

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