Find the normalizing constant c so that ce-x/4 dx = 1. C =

Q: Find the equation of the tangent line and equation of the normal line to the graph of 3x cos y = 1 +…

A: We have to find the equation of normal and tangent line.

Q: Part 4: A derivative computation using the FTC and the chain rule d d (F(2*)) = dx dt |3| e dx 20

A: Topic:- application of integration and derivatives

Q: Integrate (x)(e^-x)dx within the limits of (1, infinity)

A: Givne that  Integrate (x)(e^-x)dx   limits of (1, infinity)

Q: Find the approximate value of √0.95 using differential

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Q: (a) 2-1 dx

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Q: Find the derivative of the exponential function. Y = x'e-5x dy dx

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Q: Find the second derivatives. d2/dt2 (t2 ln t)

A: Given: d2dt2(t2log t)

Q: a d Find the derivative: dx In(*) dt

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Q: Latel I, Vx2 + y² dV,

A: answer is in next step

Q: Find the equation of the normal line to: y= (1+ cos ) e2 when x 0

A: The derivative of a function at a point is the slope of the function at that point. The product of…

Q: (8) dx Compared to I dx x In|x| Conterges or Diverges

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Q: Find the differential of the given function.

A: Given function - z = 1-2v+v4-23Differentiating on both sides with respect to v -dzdv =…

Q: Find dx * for y = (x² + 2)°(1 – x³)* using logarithmic differentiation.

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Q: 4.62. Evaluate the derivative of the Gamma function and see dT'(x) r'(x) = dx ' (In t)e"'dt

A: To differentiate the gamma function:         Γ(x) = ∫0∞tx-1e-tdt Integral definition of gamma…

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Q: ア=e y =,

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Q: d. y = ار نے

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Q: Find the second derivatives. d2/dt2 ln(ln t)

A: To find the second derivative of lnln t. Solution: Let y=lnln t Chain rule of differentiation states…

Q: Determine an equation for normal to the curve y = at x = x = -2.

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Q: The exact differential of excos y

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Q: compute the given derivatives d/dx (ex) `x= e

A: We have to find  ddxex=? at x=e   Let y=ex Taking log on both sides, we get log y=x Differentiate it…

Q: Find the y 'values and differentials for?

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Q: Q1. Find by implicit differentiation; a) an equation of the normal to the astroid x/3 + y/3 – 4 at…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Find the derivative. d 6. dx 6. X, dx

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Q: 33 e dx ly

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Q: (b) by using gamma function x-1/3e-Bx dx

A: Gamma function

Q: 7. Find the equation of a normal to y = x³ - 3x²+x-1 at x = 3

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Q: nd the equation of the normal line at x = given g(0) = 2 cos 0 + sin² G

A: We have to find

Q: 1. dx Evaluate 0, et +e-*

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Q: Find dy/dx of e*-e-x y = e*+e-*

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Q: Find the equation of the normal line to cos x-sin y=0 at y=

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Q: Find the indicated derivative. dz if z = In (x° + e4) dx dz dx

A: We can find the derivative as below

Q: ) Find MThe equation of The normal to 5 at the point (a, 4) y=dx

A: Given curve is x2+y2=5. To find the equation of normal at the point (2,1). Solution: Given curve is…

Q: 5. dx of y = (1+e-*)²/(1-e-*)

A: We need to find the derivative of the given function.

Q: d Calculate dx dt

A: We have to calculate given identity: Concept:

Q: Evaluate the function: ( e* +1 dx et

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Q: y= log, sinx

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Q: Find the derivative. te dt dx

A: To solve the given problem, initially we have to perform the integration part then the derivative.

Q: Evaluate part (a) in terms of Gamma function and part (b) in terms of beta function i) [ dt ii) /.…

A: 1. Given ∫0∞e-t2dt. Let, I=∫0∞e-t2dt. Substitute,  t2=x2tdt=dxdt=x-12dx2 Thus,…

Q: بال 20 S 3y م + dx dy

A: The double quintessential is maximum typically used to calculate the floor vicinity of a…

Q: Vye-y² dy

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Q: Integrate x?dx

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Q: 1 B3. Evaluate dx, using substitution method.

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Q: Find the indicated derivative. dz if z = In (x° + e 5) dx dz dx

A: Given data is: z=lnx8+e5 To find the value of dzdx

Q: Integrate: Sx e* dx.

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Q: Part 2. Use the integration techniques to solve for the anti-derivative of each fur I. S3p? tan p dp…

A: According to the company rule we can answer only the first question and rest can be reposted.

Q: Find the derivative. d In dx ...... d dx

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Q: Calculate the exact value of the intergral ∫ln(x)dx where b = 3 and a = 1

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