If S f(t)dt : 3x2 + 12x, what are the possible values of a? Verify that your values of a are correct. Show all your work.

Q: If Fx) is an antiderivative of x2 +x1, then what is the value of F(1) - F(-1)? 3

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

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A: Please refer the attached image for complete solution.

Q: If f(x) (t3 + 7t + 7)dt then f"(x) =

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Q: Show that the function f(t) = 1² – } is a solution of the dif- ferential equation (y')² – 4y = 2.

A: Given:       f(t)=t2−12.Differential equation is: (y')2−4y=2

Q: • 4x² If F(x) = e(5r²) dt, what is F'(x)? (Do not include "F'(x) =" in your answer.) 3x

A: If you like the solution then please give it a thumbs up.... The Answer is:           ∫3x4x2e5t2dt…

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Q: If f(x) = g(x) J. (Ax) + g(x)]dx= + 7 for 3<xs 5, then

A: givenf(x)=g(x)+7thenI=∫35[f(x)+g(x)]dxsubstitute value of f(x)I=∫35[g(x)+7+g(x)]dxI=∫35[2g(x)+7]dx

Q: The antiderivative of the function f (æ) : 3 + 10x is x2 O -10 + 1.5x? + c -3 + 5.0x2 + c -3 5.0x2…

A: we know that∫xndx=xn+1n+1+c

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Q: (d) f(x) = ev4r+1 f'(x) = ,

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Q: Ex 2. Find the critical points for: |a) f(x)= 2x³ +3x? b) f(x) ={Vx² –1

A: Critical points are the points where local maxima or minima of a function occurs.

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Q: If f(x) (t3 + 4t? + 4) dt then f''(x)

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A: given  F(z)=xy+i(x2-y2) To find the value of  F(-1+2i)

Q: |If f(x) = °(t³ + 21² + 7) dt then f"(x) =

A: Solution is here

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Q: use Newtown-rapshon method's to approximate the real solution of the following function:…

A: To use newton raphson method to approximate the solution of F(x)=(e-x)-x ,x0=0

Q: If f(x) = | (t + 6t² + 5)dt then f''(x) = %3D

A: f(x)=∫0xt3+6t2+5dtTo find:f''(x)=??

Q: If f(x) (t3 + 6t2 + 4)dt then f''(x) =

A: Given :fx = ∫0xt3+6t2+4dt

Q: Compare the values of Ay and dy if f(x) = x³ + x². 2x + 1 - æ is changes from 2 to 2.05.

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

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Q: If f(x) = t° dt then f'(x) = f'(– 6) =

A: SOLUTION-

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(æ) = (t3 + 2t2 + 5), dt then f'"(x) %3D

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Q: Suppose f(x) = [ 6t² /1+t° dt .

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Q: 2. Determine f (x) given that f" (x) = 8x – 12x + 3. %3D 12t7 – t² – t + 3 dt - 3.

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Q: Find the approximate value of f (3.02), where f(x) = 3x2 + 5x + 3.

A: Given

Q: If f(x) (t° + 7t² + 5), dt then f'"(") =

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Q: If f(x) V4 + 4t° dt, then find f'(x). -

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Q: Compute f(c + h) – f(c) at the indicated point. f(x) = 7x²; c = 5

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Q: The antiderivative of the function f(x) = .8 + 10x3 is. %3D

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Q: If f(x) t3 dt then - 3 f'(x) =

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Q: Considere la función f(x) = 4x³ Una antiderivada de f(x) es F(x) = Aæ* + Bx³ + Cx² + Dæ – 15x² + 2x…

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Q: Find the value of c guaranteed by the Intermediate Value Theorem. x²+ 5x 9. 18 Ke) = 18 f(x) = f(c)…

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

A: To find out F(1)-F(-1).

Q: If f(x) = |, (t3 + 4t2 + 7) dt then f"(x) = ||

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Q: If f(x) = f (t³ + 212 + 4) dt

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Q: Suppose X has the p.d.f. fX(x) = 1/√10πe^(-(x+2)^2)/10      (a) What is E(X) and Var(X)? (b)…

A: Given  fX(x) = 1/√10πe^(-(x+2)^2)/10

Q: If S. f(t)dt = 3x² + 12x, what are the possible values of a? Verify that your values of a are…

A: