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

Q: Find the second-order partial derivative fxx ( x , y ) of the function f ( x , y ) = x 6y 4 -…

A: Given f(x,y)=x6y4-2x7y8+17x-y

Q: is The antiderivative of the function f(x) =. 2x а. 2 In x + c b. 1

A: Givenf(x)=12xAntiderivative of f(x)=?Antiderivative is nothing but integral.

Q: Find the most general antiderivative of f(x) = Vx(x-x). %3D

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Q: Consider the function f(x) = 2x10 + 7x° – 6x² – 9. Enter the antiderivative of f(x) -

A: To find The anti derivative of f(x).

Q: compute for antiderivatives f(x)= x2-2 f(x) = x(x-4) f(x) = 3x2+2x+1

A:

Q: Find the linearization of x+1 f(x) = 2 – dt 1 + t“ at x = 1.

A: Given function is

Q: If F(x)=sinx+6x2−4 is an antiderivative of f(x) then f(x)=

A: If F(x) is antiderivative of f(x) , then f(x) is derivative of F(x) .

Q: Find an antiderivative F (æ) with F' (x) = f (x) = 5 + 24:³ + 15z4 and F (1) = 0.

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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

A:

Q: Find all antiderivatives of function:  f (x) = e3x

A: Given- fx=e3x To Find- The antiderivative of the above expression.

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: Find an antiderivative of the function f(x)=3−x.

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Q: Find the particular antiderivative F(x) of f(x) = x6 1 that satisfies F(1) = 4. - %3D

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Q: Let f(x) = 28x6. Find the most general antiderivative. F(x) :

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Q: Find the derivatie: F (+2 %3D (-t*+*z+)た =人

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Q: Find the linearization L(x) of f (x) = tan x at a =

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Q: What must be true of F(x) and G(x) if both are antiderivatives of ƒ(x)?

A: For a function f(x) to be anti-derivative of F(x), f'(x) should be equal to F(x).Similarly, for g(x)…

Q: Let f(x) x2 + 1 Enter an antiderivative of f(x)

A:

Q: Find the most general antiderivative of the functions: 1)f(X)= 2secxtanx-3sinx 2)f(X)=…

A: (1) Given, f(x) = 2secxtanx-3sinx  ∫f(x)dx = ∫(2secxtanx-3sinx )dx               = ∫(2secxtanx)dx -…

Q: Let f(x) = 2e". Find the most general antiderivative. F(x) :

A: To find the antiderivative (integration): f(x)=2ex

Q: Find the local linearization of f(x)=x^(2) at 2

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Q: Find the general antiderivative of f(x) 3 – 4x* + - 5VT x3 Preview 2.

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Q: Find an antiderivative of the function f(x)=1/x4.

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Q: Differentiate the function. y=In(x²+e' y=In(x²+ean x)

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Q: What is the mixed, second order partial derivative of this function. f (x, y) = / 2x² + y²

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Q: (B) If f(x, y) = x² ye(x+y²). Find the four seconed partial derivative.

A: Let us find the four second partial derivatives of the given function in the next steps.

Q: f(x) = 2x° –x + 5x f(x) = 3/x – 2x

A: We know ∫xn dx = xn+1n+1+C     n≠-1   where C is constant of integration.

Q: Find f(x), the most general antiderivative of the function: f' (x) = 3x –

A:

Q: Find the most general antiderivative of the function. 2xA + 7x³ - x F(x) + x >0 %3D F(x) %3D

A: Given that     f(x) = (2x4+7x3-x)/x3 We have to find the antiderivative of the function.

Q: Find the particular antiderivative F(x) of f(x) = x + that satisfies F(1) = 3. %3D

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Q: Let f(x)=6x2+1f(x)=6x2+1.Enter an antiderivative of f(x) . . .

A: The given function is,

Q: For the function f (x,y,z,w) with x, y, z, and w all functions of s, t, andr, write out the chain…

A: The function is fx,y,z,w x,y,z,w are functions of s,t,r.   Partial derivative of a function with…

Q: let f(x)=(3)/(x) - 8e^(x) Enter an antiderivative of f(x):_______

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Q: Find an antiderivative F(x) of f(x) = 7x – Vx.

A:

Q: lim, f(x)= 0, then | f(x)dx diverges

A: Statement:  limx→∞ f(x)≠0,  then ∫1∞ f(x) dx   diverges.

Q: Find the first partial derivatives of the funct f(x, y) = x8 + 7xy5 fx(x, y) =

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

A: T

Q: Verify Young's Theorem f(x,y) = e(2x+y) In(xy)

A:

Q: Consider the function f(x) = 6x' + 8x5 – 10x³ – 6. %3D - Enter the general antiderivative of f(x)

A:

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: Find the most general antiderivative of f(x) = -10x – (1 – x²)-1/2, where -1< x < 1.

A:

Q: 1. Show that the function x2 – y2 2xy f(x,y) ={ x2 + y? if (x,y) # 0 if (x, y) = 0 is continuous at…

A: If for every ε&gt;0, there exists a δ&gt;0, such that if |x-a|&lt;δ, |y-a|&lt;δ, then the function…

Q: Show that F(x) = (x + 1)*(x – 2)3 is an antiderivative of the function f(x) = (7x – 5)(x + 1)³(x –…

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Q: Let f(x) 6e". - Enter the general antiderivative of f(x)

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Q: Find an antiderivative of the function f(x)=e2x.

A:

Q: Find constants c1 and c2 such that F(x) = c1xe -x + c2e -x is an antiderivative of f(x) = 3xe -x .

A: Given: Fx=C1xe-x+C2e-x  and fx=3xe-x

Q: Consider the function f(x) = 4x° + 7x® – 9z³ – 10. %3D Enter the general antiderivative of f(æ)

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Q: f(x) = Vx2 + xVx %3D

A:

Q: Integrate f(x) = 10 ( 1 – x)9 where 1 ≤ x ≤ 3, Using Boole’s rule

A: The function f(x)=101-x9 where 1≤x≤3. We have to integrate this integral using the Boole's Rule.