4x5 is an antiderivative of f(x) and G(x) = 5x³ is an antiderivative of g(x). Find Suppose that F(x) 3 | Fx) – g(x)) dx.

Q: Find f. (Use C for the constant of the first antiderivative and D for the constant of the second…

A: Our objective is to find f.

Q: Find d2y/dx2 in terms of x and y. x2y2-10x=1

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Q: b) Is f x(x² + 1)dx = x² (;+x) + C true or false? show me

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Q: V121–a² r85-x²-y² 11 x dz dy dx -157+x²+y²

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Q: If f(x) dx = 31 and g(x) dx 12, find [4f(x) + 6g(x)] dx. %3D

A: See the details solution in below

Q: a. Find the antiderivative of f(t) = 7x + 6x³ - 8x² - 6. Justify your response.

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Q: The antiderivative of the function f(#) + 8* is -8 + 2.0a2 +e 4 +4.0a2 +c -4 + 16.0a? + c -4 4.0a2 +…

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Q: If f(x,y)=xe"*/2+135x?y3, then əx²əy³ at (1,1) is equal to

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Q: The antiderivative of the function f(x) 2 + 7x is_ %3D 2 + 3.5x? + c -7 + 1.0x² + c 2 3.5x² + c -2 +…

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Q: 1² –3 (f) csc²(3x – 1) +

A: " Since you have asked multiple question. We will solve first question for you. If you want any…

Q: An antiderivative of f(x) = 5x4/3 + + 2x5/4 is %3D

A: The given function is fx=5x43+2x54. The antiderivative of ∫xndx=xn+1n+1+C.

Q: Y Is the midpolnt of XZ.If XZ 8x-4 and YZ = 3x +1, find x.

A: Given Y is the mid-point of line segment XZ XZ = 8x-4 YZ = 3x+1   to solve the given question use…

Q: F(x) = (3x3)/2 is an antiderivative of f(x), find ∫( −3f(x) − 4x3) dx.

A: To find the integral

Q: f(x)=−2x^5-9x^-7 + 10^3√x what is the antiderivative of f(x)?

A: Given query is to find the antiderivative of f(x).

Q: If f(x,y.z)= In(x2 +y³ +2z5), Find and dx² dz2

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Q: Find the general antiderivative of f(x) = 15x-3/5 and check the answer by differentiating. %3D

A: We have to integrate the function

Q: let x= et then by the chain rule d3x/dx3 equals

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Q: If F(x) is an antiderivative of -2+ x-1, then what is the value of F(1) – F (–1)? 3 -1 -2

A: If F(x) is a antiderivative then there exist a  function f(x) such that  F'(x)=f(x).

Q: whats the general antiderivative of the function f(x)=7x^(2/5)+8x^(-4/5)

A: Given : fx = 7x25 + 8x-45

Q: x2 - 2x + 1

A: The expression to calculate the the antiderivative of the given function: Fx=∫fxdx   The Power rule:…

Q: f(x) : 4 6 5

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Q: The antiderivative of the function f(x) =.8+ 11a is -5 2.8x4 +c -5 + 2.8 + c -5 + 2.8x +c -5 .8+…

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Q: If f(x) dx = 37 and g(x) dx = 12, find [4f(x) + 5g(x)] dx. %3D

A: Given : ∫06fxdx = 37∫06gxdx = 12

Q: The antiderivative of the function f(x) = x2 + 9x is. -5 + 18.0x? + c -5 4.5x? + c -9 + 2.5x² + c -5…

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Q: |f(x) dx g(x) dx = 15, find / [3f(x) + 5g(x)] dx. If 28 and

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Q: Find d2y/dx2 implicitly in terms of x and y.    x2 + y2 = 4

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Q: Find f. (Use C for the constant of the first antiderivative and D for the constant of the second…

A: Given:

Q: The antiderivative of the function f(æ) 6. + 8x is. -6 + 16.0x? + c -6 4.0x? + c 6 + 4.0x² + c -6 +…

A: We have to find the antiderivative of the function f(x) = 6x2 + 8x

Q: Find f. (Use C for the constant of the first antiderivative and D for the constant of the second…

A: We havef''x=16x3+42x−1

Q: Which of the following is an antiderivative of f(x) = 12x³ - 9x2 + 8x – 3?

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Q: nd fogoh. f(x) = x – 8, g(x) = Vx, h(x) = x – 8 %3D

A: Sove function as general

Q: Find the general antiderivative of f(x)=3x– 4x'+15e*.

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Q: The antiderivative of the function f(x) = + 7x is -3 3.5x2 +c 3 + 3.5x? +c -7 +1.5x² + c -3 +14.0x²…

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Q: If F(x) is an antiderivative of x² + x1, then what is the value of F(1) - F(-1)? (А) 3 В) о c) -1 D…

A: We have to find derivative

Q: Find the antiderivative of f(x) f(x)=2sec2 (x)-3x-6

A: Given: f(x)=2sec2x-3x-6let the antiderivative of f(x) = F(x)then,F(x)=∫f(x)dx

Q: Find the family of antiderivatives of f(x) = 3e3x.

A: The given function is fx=3e3x. We have to find the family of antiderivatives of fx=3e3x. We know…

Q: e. f(x) = 2* OA. O(x²) B. Q(x²) C. O(x²) В. f. f(x) = [x][x] (floor of x times ceiling of x) OA.…

A: Option (B) is the correct answer.

Q: f(x, y) = 6 – V4 - x2 - y2 is

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Q: What is the DE for A(x^2)+Bx+C using elimination of arbitrary constants.

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Q: What is the antiderivative of f'(r) = - 4x + 3

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Q: The antiderivative of the function f(x) 6 + 8x is -8 + 3.0x2 + 6 + 4.0x2 + c 6 + 16.0x? + c -6 4.0x?…

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Q: Find the antiderivative of f(x)=2x/(x^2+1)

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Q: Consider F = (4x°y+0, 9x³ + 5y+). Then div(F) = Aæ²y!0 + By³. What is the value of B?

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Q: The antiderivative of the function f(x) + 8z is -5 -4.0x + c 2 + 4.0x? +c 5. + 4.0x? + c - -8 +…

A: Simple write the given function then use the simple rule of antiderivative  .

Q: The discriminant of ax2 + bx + c = 0 is defined by_________.

A: The given equation is ax2+bx+c=0.

Q: note that X - y +z = e2 and 4x – 3y + 2z = e2

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Q: If f(x) dx 39 and g(x) dx = 12, find [2f(x) + 3g(x)] dx. %3D

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Q: can you prove E(x^2) = Var(x)+[E(x)]^2 ?

A: Variance:The expected squared difference between a random variable and the mean can be termed as…

Q: Suppose f(x)dx= 2 and f f(x) dx = 1, and f3f(x)dx=-6, what is B. 2 C. 3 D. 4 A.-2 f(x)dx?

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Q: How can we show that  f(t)=e4t-3t^2 is not an mgf?

A: For any Random Variable,  Var(X) > 0 Now We know, E(Xr) = f(r)(t) |t=0 Where f(r)(t) denotes r th…