Find the antiderivative F of f that satisfies the given condition. Check your answer by comparing the graphs of f and F. f(x) = 5x4 – 8x5, F(0) = 2 F(x) =

Q: Find the antiderivative F(x) of f(x)=x/3(12x2-6), given F(1)=5

A: An anti derivative of a function f is a differentiable function, whose derivative should be equal to…

Q: 1+х f[X_, Y_] := 2 у - 1-x (1+) (у-1)2

A: We will use basic knowledge of the functions of several variable theory to answer this question.  We…

Q: Find the antiderivative F of f(x)=4-3(1+x^2)^-1 that satisfies F(1)=-2.

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Q: Find the general antiderivative of f(x) = + C - 5x¹ x² +6√x

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Q: Find the value of c that satisfies the MVT of f(x) = 1+x + x2 on (0,2).

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Q: Show that the function f(x) = e¯*/2 has inflection points x = f1. at

A: We have the given function as fx=e-x22              ⋯⋯1 As we know that, a point of inflection of…

Q: Find the general antiderivative of f and check your answer by differentiating:    f (x) = 2x4 − 24x2…

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Q: Consider the function f(x) = 16x³ - 21x2 + 6x – 8. Find F(x) an antiderivative of f(x). F(x) =]

A: Topic - integration

Q: Find the family of antiderivatives for the function, f(x) = 8 4x. Which of these pass through the…

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Q: Consider the function f(x) = 9x8 + 5x® – 4x° 4г* — 3. Enter the general antiderivative of f(x)

A: An antiderivative is a function that reverses what the derivative does. One function has many…

Q: Find the most general antiderivative of the function. f(x) = 4cosx – 7sinx

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Q: Find the family of antiderivatives for the function, f(x) = 8 12x. Which of these pass through the…

A: To find the family of antiderivatives for f(x) integrate f(x) with respect to x.

Q: Find the particular antiderivative F(x) of f(x) = 18x – 11 that satisfies F(1) . 8.

A: Given function , f(x)=18-x

Q: Find the linearization L(x)  of the function f(x) = x^4 -2x^2+3  at  x =0.

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Q: Find the value of C such that the fnction Continubus on (-00,00) Cx +1 for XS 2 f(x)= r4x+I-3 for…

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Q: Consider the function f(x) = 2x + 6x510x² - 4. = Enter an antiderivative of f(x). Do not enter +c as…

A: Here we have to find the integration.

Q: Let f(x) = 4x - 8x. Find F(x), the antiderivative function, if F(1) = 3.

A: Let f(x)=4x2-8xTo find the antiderivative function F(x)if F(1)=3

Q: Find the general antiderivative of f(x) = 4x – 5. Use Cfor the arbitrary constant. nswer F(x) =

A: Fx=∫fxdx

Q: Find all antiderivatives of function:  f (x) = e-3x

A: Consider the given function. fx=e-3x We have to find  I=∫e-3x dx   Substitute -3x=u -3dx=dudx=-du3

Q: Consider the function f(x) = 8x8 + 4x° – 4x3 – 2. 4x° – 2. - Enter the general antiderivative of…

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Q: Find the general antiderivative of f and check your answer by differentiating. f (x) = 2x4 − 24x2 +…

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Q: Find the antiderivative F of the function f(x)= x^2 + 2x + 2 such that F(-1) = -1.  F(x) =

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Q: Find the most general form of the antiderivative, F(x), of the function f(x) = − (4) / (3√x).

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Q: Find the linearization L(x) of the function f(x)=x^3/4 at x=1

A: Given, f(x)= x³/4 x=1 Therefore, f(x=1)=1³/4 f(x=1)=1/4

Q: For the function f, given below, find the antiderivative F that satisfies F(1) =0. f(x) =x - 3x-2 -…

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Q: Consider the function f(a) = 7x° + 5x° - 5x 3. Enter the antiderivative of f(x)

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Q: For the function f, find the antiderivative F that satisfies the given conditions.…

A: For the function f, to find the antiderivative F that satisfies the given conditions.…

Q: Find the particular antiderivative F(x) of f(x)=4x−3 that satisfies F(1)=8.

A: The given function f(x)=4x-3, its antiderivative satisfies F(1)=8

Q: I. Determine the general antiderivatives of the following functions: Show your solution 1. f(x)= 4x5…

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Q: Find the most general antiderivative of the following function. f(x) = 2e" - 8x %3D

A: Given that a function f(x) = 2ex - 8x We find antiderivative of this function.we know that…

Q: Find the absolute maximum for the function f(x) = re, x E [-1,3] %3D

A: Given :       function  f(x) = 12x2e-x       Interval  x∈ [-1, 3]    To find : Absolute maximum…

Q: Given the function, f(x) = √x + x, use linearization at x = 4, to approximate f(4.1)

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Q: Find the linearization L(x)of f(x)at x = a where f(x) = Vx² + 9 at a = –4

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Q: Consider the function f(x) = 6x9 + 825 - 4x2 - 10. Enter the antiderivative of f(x) %3D

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Q: Find constants c1 and c2 such that: G(x) = c1xe^−x + c2e^−x is an antiderivative of g(x) = 3xe^−x.…

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Q: Find the linearization L(x) of f(x) at x=a. f(x)=x/2x+9 a=0

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Q: Determine the maximum value of f (x) = 5x – e5x [T:3] on the interval [-1,1] %3D

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Q: Consider the function f(x) = 36x3 - 12x2 + 10x – 3. Find F(x) an antiderivative of f(x). F(2) =O

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Q: Use the linearization of f(x) 1 at x = 4 to approximate f(4.3) . - f(x) =

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Q: Find the linearization of L(x) of f(x) at x=a f(x)=StartRoot x2 +17, End Root a =8

A: Given function and point is

Q: Consider the function f(x) = 4x° + 10x" – 2x³ – 9. Enter an antiderivative of f(x). Do not enter +c…

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Q: Find an antiderivative 1 2 of f(x) x - 2 x + 4

A: we have to find an antiderivative of fx=1x-2+2x+4 as we know that antiderivative of f(x) means…

Q: The antiderivative of the function f(2) +7z is

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Q: Find the linearization L(x) of f(x) at x = a. f(x) = a = 0 4x +3

A: topic - linearization of a function

Q: Consider the function f(x) = 8x - 8x2 + 4x – 3. An antiderivative of f(x) is F(x) = Ax* + Bx + Cx² +…

A: We have to find antiderivative of f(x) or integral of f(x).

Q: Q3: Find fxx of the function f (x, y, z) = -In/1-x2 - y2 – z2 %3D

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Q: Let F(x) be the antiderivative of F ‘(x) = -2x + 6, with constant 0.  Determine F(x), and then…

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Q: The antiderivative of the function f(x) = .3+9x is

A: find the anti derivative (integral) of fx=56 .3+9x3