Compute f dx. r2 el/¤ x²

Q: if (d/dx)F(x)=f(x) and F(-1) = F(2) = -5, then ∫^2v-1 f(x)dx =

A: Using integratiom

Q: f(x) = for x < for X D

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Q: Suppose f(2) = 4, f' (2) = 5, f(-3) = 2, f' (-3) = -2, and dH H(x) = f(x² – 7). Find dx |x=2 Н (2)…

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Q: Find S f(x)dx if f(x) = [2 for x<2 [x for xz2

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Q: Find E(X) X  0 1 2 3 P(X) 0.2 0.4 0.2 0.2 Use Excel

A: The probability distribution is: X P(X) 0 0.2 1 0.4 2 0.2 3 0.2

Q: 2) Evaluate f x³e*dx

A: To evaluate the given integral.

Q: Let h(x) = 300s a. Find h'(x) and also h'(T/2).

A: The given function is: h(x)=3cos x

Q: Q5: Find d for the following functions: dx (1) In(x - y) = xy + y³ ; (2) y =

A: As per Bartleby guidelines rule I am answering only first question as other questions are not the…

Q: Find f(t). f(t) = -6s s3 + ) u ( t -

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Q: Find f (VF + xJ dx

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Q: Given f(x,y) = x²y-3xy³. Evaluate 2 S₁² 0 fdx

A: Follow the procedure given below.

Q: zt Find f'(t) if f(t)-ť° 8

A: The function is given by ft = t682t To evaluate : The expression of f'(t)

Q: Compute d/dx f ( g (x)), where f (x) = x5, g (x) = 6x - 1

A: Given f(x)=x5, g(x)=6x-1

Q: Given f(x, y) = 5æy® - 8x°y. Compute: ||

A: Given  f(x,y) = 5xy6 - 8x5y

Q: F(X) = X on R did

A: I have proved the apsilon delta definition

Q: f. f(t) = eat cos² b t.

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: Q: Fin Criti f(x1

A: # as per the guidelines we are entitled to solve one question at a time, please resubmit the other…

Q: Find f f(x) dx if 4 for a 4.

A: I=∫05fxdxif fxdx=4for x&lt;4xfor x≥4

Q: and C be th = = 0. If [F.d.

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Q: Find f (t), given F(s)> 3 a) 343 c.) 3t4 b) 글 3 di) fty

A: Using inverse Laplace transform,

Q: Given f(x, y) = 4x°y+ 7xy*. Compute:

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Q: b) Find f(")(x) is S(x) =

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Q: Compute d/dx f ( g (x)), where f (x) = x4 - x2, g (x) = x2 - 4

A: The symbol ddx is the symbol of the derivative of the function, hence differentiation of the…

Q: Compute d/dx f ( g (x)), where f (x) = x(x - 2)4, g (x) = x3

A: The given functions are fx=xx-24    and   gx=x3. This implies that, fgx=fx3=x3 x3-24 Differentiate…

Q: Find Ay and f'(x)Ax for y = f(x) = 6x, x =4, and Ax = 0.06.

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Q: Find g'cx) gon= XX dx

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Q: Find f(t). 2s s3 ]) «(-| f(t) =

A: Given that  Inverse Laplace of {e^(-2s)/s^3) To find Laplace transformation

Q: (b) g(x):= 1/x for x E R, x#0, (d) k(x):= 1//x for x > 0.

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Q: 2. Derive. f(x) = e*xe

A: To find the derivative of: f(x)=exxe

Q: Describe the long run behavior of f(t) = - (t + 3)°(t + 1)(t + 2) As t → - 0, f(t) –→ ? As t → 0,…

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Q: Find f(t). 5s - 1 s²(s+ 1)- f(t) =

A: A detailed solution is given below.

Q: - f«) = f(x) = E n=1

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Q: Q11: Let f(x)=xr° + 3x³ d +x-10. Find dx (5"(48) .

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Q: Find 2f (x) dx jf f (x) dr=2 and f (x) dr= - 6

A: We have to find out

Q: Differentiate the function D = 3 – In p. D' =

A: Here we will differentiate the given function,

Q: Approximate V126 using Ay f'(x) · Ax

A: Given,  126

Q: Find Ay and f'(x)Ax for y = f(x) = 3x° x= 2, and Ax = 0.08.

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Q: Answer: f'(x) = b. f(x) = In (x – + 15)

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Q: Suppose f(x, y) = xy² + 4. Compute the following values:

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Q: Calculate | f(x)dx, where 12 – x? for x 2

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Q: Find f(x) such that • ff(x) dx = 1/√ √ x² + 4 + C

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Q: Calculate, f(t) from 4s – 6 F(s) (s – 3)²(s – 2)³

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Q: d Compute f(g(x)), where f(x) = Vx and g(x) = x + 5. dx The answer is

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Q: Given f(x, y) = 6x²y – 5xy*. Compute:

A: This question is based on Partial differentiation.

Q: -at f(t) = 5e"t – 5e

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Q: If f(x) = f (t³ + 212 + 4) dt

A: We have to find f"(x) for the given function.

Q: Denivate h(x) = JXen(x)

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Q: Determine the following a) f(r² -x=1)dx

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Q: Show that E[Var(Y |X)] ≤ Var(Y )

A: Show that E[Var(Y |X)] ≤ Var(Y )