[² Find X dx. Hint: Choose a to be the geometric mean of xi-1 and x; (that is, x = Value of integral = 1 m(m + 1) - 1 m /xi-1x;) and use the identity 1 m + 1

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A: Given values are f8=24, f'8=5, f24=16, f'24=-6, g24=-29, g'24=-10,g(16)=-27, g'16=55 we need to find…

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Q: Select the following equations that are true. 01² +2² +3² +4² +...+100² = 5050² 1 1 0 1 1 + 101 1 0…

A: Given 1.  12+22+32+42+⋯+1002=50502 2.  111011101+123456-4-5-6=234467-3-5-5 3.…

Q: QUESTION 7 Evaluate [x²e² de O e¹(x²-2x+ 2) + C Oe(x²+2x+1)+C Oe(x²-2x+1) +C Oe(x²+2x+2) + C

A: The given integral is: I=∫x2exdx   As we know the common integral. ∫exdx=ex+C   Use the integration…

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Q: ind (a) the slope of the curve at the given point P, and (b) an equation of the tangent line at P.…

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Q: 5. Compute and simplify the difference quotient f(x) = 3x² + 7x-2 f(x+h)-f(x) h h 0.

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Q: lim ln x x-0

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Q: 5. Compute and simplify the difference quotient f(x) = 3x² + 7x-2 f(x+h)-f(x) h 9 h = 0.

A: We have to slove above questions

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A: To find derivative of the function.

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Q: Find the areas between curves. Question 1: There are two functions: (1) x = y³ (2) x = y² The…

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Q: Given the function f(x) = 2x¹ - x³ - 4x² + 7x-5 find f""(3)

A: Given function is fx=2x4-13x3-4x2+7x-5 We have to find f'''3

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Q: Find g'(3) given that f(3) = -2 and f'(3) = 4. a. g(x) = 3x² – 5ƒ(x) 2x + 1 b. g(x) f(x) . . e

A: Solution is done in steps

Q: Let F(x) = f(f(x)) and G(x) = (F(x))²2. You also know that ƒ(7) = 2,ƒ(2) = 3,ƒ' (2) = 10, ƒ' (7) =…

A: The functions are Fx = ffxGx = Fx2 The values of the function fx and its derivative f'x are f7 = 2,…

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Q: Determine f-¹(x). ƒ¯¹(x) = = -x² + 16x What is the domain of ƒ-¹(x)? What is the range of ƒ−¹(x)?||…

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Q: Solve the inexact differential equation y dx + (2xy-e-2) dy = 0.

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Q: estimated

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A: The given differential equation is; y'+6xy=o, y(pi)=5.

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Q: Use calculus to calculate and to prove that the volume of a right circular cylinder with radius r…

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A: Given, y=4x2sin-14x2+1-16x4 Find dydx

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Q: 2. The height of a golf ball after t seconds given by s(t) = 24t - 4.9t2 meters. (a) Find the…

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Q: direction: find the indefinite integeal   x-3  / x^2 + 1

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A: Given 10t2-14t-80t3-8t2=  3t+10t2+7t-8Evaluate: ∫10t2-14t-80t3-8t2dt

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Q: I. Use Lagrange multipliers to find the minimum and maximum values of f(x, y) = x + the restriction…

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Q: Calculate the first, second, and third derivatives of y(t) = 7t³ - 6t² + 8. (Use symbolic notation…

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Q: For the curve 2² - 4xy² = y³ +9, do the following:

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Q: Graph the functions on the interval [-7,7]. Include all asymptotes and labels on your graphs where…

A: We have to plot the graph of 1) y= sin x 2) y = cos x 3) y= tan x Under the given interval with…

Q: [ t(2t2 + 2)-1/2dt (vx-2) dx . √x 6. [ V2x2 + 2 (4x)dx 4. 5. بیای

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