For the following function f, find the antiderivative F that satisfies the given condition. 2 f(v)= sec vtan v, F(0) = 4 ーーくVく 2 2 F(v)=

Q: Suppose that F'(x) = f (x) and G'(x) = g(x). Is it true that y = F(x)G(x) is an antiderivative of y…

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Q: Find an antiderivative F (z) with F' (z) = f(z) = 2+18z2 +18z° and F (1) = 0. Remember to include a…

A: Answer and explanation is given below

Q: For F(x) = x2 , F′(x) = 2x, making F(x) = x2 an antiderivative of ƒ(x) = 2x.

A: Given that Fx=x2. Compute the derivative. F'x=x2'=2x

Q: Consider the function f(x) = -. Let F(x) be the antiderivative of f(x) with F(1) = 0. Then F(3)…

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Q: Consider the function f(x)=7/x^2-7/x^5 Let F(x) be the antiderivative of with F(1)=0 Then F(X) =

A: Given, f(x)=7/x^2-7/x^5

Q: Suppose that f(x) is an antiderivative of f(x) = V1 + xt. Express JoV1 + x* dx in terms of F and…

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Q: Consider the function f(x): 8 23 Let F(r) be the antiderivative of f(x) with F(1) = 0. Then F(r)

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Q: 2 Consider the function f(x) - x7 Let F(x) be the antiderivative of f(x) with F(1) = 0. Then F(x) =

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Q: 2- Obtain the function x to minimize the following functional. = [ c«f + *)dt J = St: x1 = -X2 ,…

A: J=∫01x12+x22dt-------(1) x1˙=-x2-----(2) x(0)=c, x(1)=d here c,d are fixed number

Q: For the following function f, find the antiderivative F that satisfies the given condition.   F(v) =

A: First, we find the general solution using integration.

Q: For the function f, f(x) = 9/T – 2 find the antiderivative F that satisfies the condition F(64) = 9

A: Given  Since we have to find antiderivative also known as integration Integrating given function…

Q: For the following function f, find the antiderivative F that satisfies the given condition. f(1) =…

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Q: Consider the function f(t)= 10sec^2(t)-7t^3   Let F(t) be the antiderivative of f(t) with F(0)=0…

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Q: For the following function f, find the antiderivative F that satisfies the given condition. f(v) =…

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Q: Find the antiderivative F(x) of function F (x) = 3 such that F(1)=0. r4

A: Anti derivative: ∫F(x)dx = f(x)

Q: Find the Particular antiderivative that satisfies the following conditions:   R’(x)=7-0.8x;  R(0)=2…

A: R'(x) = 7 - 0.8x Integrate both sides with respect to x: R(x) = 7x - 0.4x2 + C   {As integral of…

Q: For the following function f, find the antiderivative F that satisfies the given condition. f(t) =…

A: Explained below

Q: For the following function f, find the antiderivative F that satisfies the given condition. 1 - sec…

A: Given that f(v) and find its antiderivative or integration F(v). And also given condition F(0) =1.…

Q: Consider the function  f(x)=4/x^2−3/x^5. Let F(x) be the antiderivative of f(x) with F(1)=0. Then…

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Q: Find the general antiderivative F(x) + C for the function. f(x) = 12x + 67 O 6x² + 6x + C O 6x2 +…

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Q: For the following function f, find the antiderivative F that satisfies the given condition. f(u) = 2…

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Q: Consider the function f(x)=5x2−9x7f Let F(x)F be the antiderivative of f(x)with F(1)=0 then f(x)

A: we have to find the function F(x) .

Q: Determine the value of a that makes F(x) an antiderivative of f(x). fx) = 24x", F(x) = ax 6.

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Q: Consider the function f(x) = 2x³ + 71° – 8z2 – 8. Enter the antiderivative of f(x) + C

A: To find the antiderivative means integration of the given function

Q: Suppose F is an antiderivative of f(x) = VT. If F(0) 1 then F(1) 4 %3D %3D is 3 A. –1, B. -, C. 0,…

A: Let f be a function . Suppose F is a function such that  F'(x) =f(x) then F is an antiderivative of…

Q: For the following function f, find the antiderivative F that satisfies the given condition. 3 f(v) =…

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Q: Consider the function f(x) = 8x0 + 7x° – 7x* – 6. %3D Enter the general antiderivative of f(x)…

A: 1. givenf(x)=8x10+7x5-7x4-6take antiderivative of…

Q: Consider the function f(x)=2/x2−3/x6. Let F(x) be the antiderivative of f(x) with F(1)=0. Then…

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Q: Consider the function f(x)=2/x3 - 3/x6Let F(x) be the antiderivative of f(x) with F(1)=0Then F(x)=

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Q: Consider the function f(t)=5sec^2(t)−3t^3Let F(t) be the antiderivative of f(t) with F(0)=0.…

A: Consider the steps to find the anti derivative for function f(t).

Q: find the antiderivative that satisfies the given condition 5-3(1+x^2)^-1, F(1) = 0

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Q: Find the particular antiderivative that satisfies the following conditions: R' (x) = 5 – 0.3x; R(0)…

A: follow next step

Q: Find the particular antiderivative that satisfies the following conditions: f"(x) = 16x – 2; f(0) =…

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Q: What must be true of F(x) and G(x) if both are antiderivatives of f(x)? Why is it important to add…

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Q: Consider the function: f(x)= (5/x^3)-(4/x^7), x>0   Let F(x) be the antiderivative of f(x) with…

A: Consider the function It can be written as

Q: Find the general antiderivative of f(x) Use C'for the arbitrary constant. Answer F(x)

A: Given that:fx=9xTo find the general antiderivative

Q: Consider the function f(x)=2x8+10x7−4x4−6 Enter the antiderivative of f(x)

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Q: Consider the function f(x) = 7x° + 9x° – 9 - 9. Enter the antiderivative of f(x) + C

A: T

Q: Consider the function f(z) = 728 + 10z5 – 2r2 – 6. An antiderivative of f(x) is F(x) = Ar" + Bx™ +…

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Q: Find the antiderivative F of f that satisfies the given condition. f(x) = 4x, f(0) = 12 %3D |3D

A: Given that: f(x)=4x and f(0)=12

Q: Consider the function f(x) = x³ + 8/x. Let F(x) be the antiderivative of f(x) with F(1) = -2. Then…

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Q: Consider the function f(x)=7/x^3−6/x^6 Let F(x) be the antiderivative of f(x) with F(1)=0. Then F(4)…

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Q: Find an antiderivative of f(x) 28. Assume that the value of the arbitrary constant is 0. Answer

A: Antiderivative of function

Q: Let f(x)= x3 + 2x1/2. Find F(x), where F(x) is the antiderivative of f(x) that passes through the…

A: Integrate

Q: 7 Consider the function f(x) = 10 %3D - Let F(a) be the antiderivative of f(x) with F(1) = 0. %3D…

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Q: Consider the function f(x) x2 . Let F(x) be the antiderivative of f(x) with F(1) = 0. x7 - Then F(x)

A: as per our company guidelines we are supposed to answer only first question. Kindly repost other…

Q: Consider the function f(x)=8/(x^3)−3/(x^5). Let F(x) be the antiderivative of f(x) with F(1)=0.…

A: First, find the anti-darivative  of f(x) and then use F(1)=0 to find the value of the constant…

Q: Find the particular antiderivative that satisfies the following conditions: f"(x) = a²; f'(0) = 6…

A: The given problem is to find the particular antiderivative that satisfies the given conditions of…

Q: 3 Let f(x) = V1- a? 1 – x2 Enter an antiderivative of f(x).

A: Solving the problem by the process of indefinite integral.

Q: Let F(x) be an antiderivative of the function x3¬** Find F(2) – F(0).

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