Q3: Show that (e ẻi = 8}). Q4:

Q: 3.) Integrate using an appropriate technique: 24100 dx (show all steps) 4x2 + 24x+100

A: We have to evaluate

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A: Consider the given function as, fx=xcosx-x2

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A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

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A:

Q: With the help of Weingarten equation show that H[ñ ñ2 ] = FN – GM %3D

A: Given: To show the given statement as follows, The given  H    n→  n2→  r2  →  = FN - GM.

Q: 57. Verify that S2 yields the exact value of | (x – x³) dx.

A:

Q: What is ſ e2x dx? 1+ex

A: Given :                      ∫e2x1+ex dx     Substitute u = ex+1  ,  dudx = ex…

Q: Solve by Chain Rule y = tan ( V3x² + In(5X*))

A:

Q: . Estimate dx with an error less than 10-3.

A: Series sum estimation:

Q: by Newton- s was chose only. The v iteration A

A:

Q: Find the second derivative of ?(?) = sin(4?4). use the chain rule

A: Follow the procedure given below.

Q: Compute the derivative.

A:

Q: would I solve thi

A:

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A:

Q: Use Milne's method to obtain the value of y(0-3).

A:

Q: To four decimal places, approximate the solution to the equation: e2z +3 = 13 - -

A:

Q: S x2tan (x³)dx

A:

Q: Q #03 by using be ta function Solve 2/13 dx

A: We have to find the integral of x-2/3 (1 - x)1/2 dx from 0 to 1 using the help of beta function.

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A: To evaluate the given integral.∫-43∫-12∫01z3x+y3 dz dy dx

Q: Find the following derivative. (4* + 8) In x) dx

A:

Q: Use the chain rule to find the derivative of 2e9z7 Use e^x for e".

A:

Q: Estimate x² dx using left endpoints for n = 4 approximating rectangles. 3 x² dx is approximately

A: The equation of the integral function is ∫03x2dx. The left endpoints is n=4.

Q: sinh(3x) g(x) 3

A:

Q: Prove that E = ehd.

A: By the defination, fx=fx+h....1∆fx=fx+h-fx∆fx=Efx-fx∆fx=E-1fx Therefore, ∆=E-1E=1+∆.....2

Q: tion of the differe = e-x + x2 is

A:

Q: Show that esin(x²)dx < e– 1.

A:

Q: Excrcise 10. Find the derivative d -7x * [" (t³ + 2) dt dx

A: Given,          ddxx∫57xt3+2dt

Q: 4) 8х — у? %3D 3

A: Consider the provided equation, 8x-y2=3 Find the y' by implicit differentiation.

Q: Find an estimator for b when a = 0 using the method of moments.

A: It is given that X1, X2, .......,Xn follows Uniform(a, b)

Q: How can I find the gini index of y = x^1.1?

A:

Q: Use differentials to approximate √16.5.

A: Given:

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A:

Q: Use the rule for reciprocals (수) - - to find the derivative: d 1 %3D dx lx2 Зх + 2

A: Given the rule of reciprocals as 1f'=-f'f2. It is required to find the derivative of 1x2-3x+2. Note…

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A:

Q: Which formula gives the x-coordinates of the maximum values for y = cos(x)?

A:

Q: Use differentials to approximate radical (48.7)

A: Ne need to approximate √48.7 using differentials.

Q: 10. S sinh rai tanhxainhr-tenha -dx

A:

Q: g(x) = "In(5 + t?) dt Ji

A:

Q: ) Use the simple fixed point iteration method to find a root of th cos x with initial guess x, =4…

A: To find a root of the equation x3=-cosx using the simple fixed point iteration method with initial…

Q: Use Newton- Rophson Methad to find th Of the equalion in the range Solution ex t x- 10, ex + X -

A: If an equation is f(x)=0, then according to Newton Raphson method: Xn+1=Xn-f(Xn)f'(Xn)…

Q: Q5 Answer with all details, By using Logarithmic find the x(х-2)sinx derivative of y = (x2+1)vsecx

A:

Q: gla) = 8 3 sin5a 11

A:

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A: NOTE: Refresh your page if you can't see any equations. . take reciprocal on both sides…

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A: nhbgk

Q: how that 1 dn v2

A:

Q: Find the exact value of the function: 0 6 arccos (-/-)

A: See this solution in below

Q: Q4) find the soluation of differention equation using exact equation

A:

Q: Evaluate: fxea dx. Show all steps, and explain yourself.

A: Given: The integral ∫xe3xdx, To evaluate: The given indefinite integration.