What is g'(æ) when g(æ) = ln (3x³ +2)? Select the correct answer below: O In (9a2) 1 33+2 O 3z+2 9x2 In (33+2) 9x2 3x3+2

Q: Integrate 01-In x + C о √(5-2) x – 10 ln |x| X - - - 1 10 In |x| 2 25 Olnx-25x + C ▬▬▬▬▬▬▬▬ X dx. +C…

A: Topic = Integration

Q: Explain, in terms of linear approximations, why the  approximation is reasonable. ln 1.05 = 0.05…

A: Given: (1.01)6=1.06

Q: Why is there a need to solve for integrating factors?

A: We solve easily by using integrating factors.

Q: Estimate the root very near x = 0.2 of 2(x*)* - 3(x*} + 1 = 0 using the Newton- Raphson Method with…

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Q: When is the integration method used?

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Q: By Simpson's method, find an approximation for [(x³−2x³)dx_(n=4) 0

A: What is Simpson's Rule: Simpson's rule is a tool to approximate an integral. It is the process to…

Q: the metrod of variation of parameters to Apply Solve my = Secnn dx2

A:

Q: az ) Use Implicit differentiation to find ax and for x2 – y2 +z? – 2z = 4 ду

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Q: tion of all components of v(3) correct to two decimal places.

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Q: Use Euler's Method with an appropriate h value of your choosing to estimate y(4) with y = 0.5, y (1)…

A: Topic- Differential Equation

Q: 2. One side of a right triangle is known to be 22 cm long and the opposite angle is measured as 60°,…

A:

Q: Find y double prime using implicit differentiation5x^3+4y^3=1

A: We have given,

Q: /8.9

A: Given : 8.93

Q: When I am solving an integration question, how should I know which expression to equate to 'u' in…

A:

Q: Verify that the derivative and integral results for a general base b reduce to the expected results…

A: Note that ddxbux=lnbeuxu'x,∫bxdx=bxlnb+C.

Q: Use differentials to approximate V36.1. 3.

A: Consider y = root x.Let take x = 36 and delta x = 0.1.Find delta y as follows.

Q: Use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative.

A:

Q: 3. A body of mass 5 kg is dropped from a height of 100ft with zero velocity. Assuming no air…

A: Given: A body of mass 5 kg is dropped from a height of 100 ft with zero velocity. To Find: To find…

Q: Find the antiderivative of x/sqrt (x2+1) and verify it by differentiation?

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: What happens in Newton’s Method if your initial guess happens to be a zero of f ?

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Q: Use differentials to approximate the value of: 26

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Q: Solve the following by Vogel's approximation method

A: To find - Solve the following by Vogel's approximation method Destination/ Sources I II III IV…

Q: complete solution

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Q: Find the PV of an income stream that pays out continuously at a rate of R(t) = 3000e0.1r dollars per…

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Q: What is the derivative of y = e3 In(5 + e3)? %3D

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

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Q: The equation x ln x = 1 has a single solution, Give a short justification for this the claim.

A: Consider the given equation xlnx=1

Q: Under certain conditions, cane sugar in water is converted into dextrose at a rate proportional te…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: 30. Based on the R output, the most appropriate coefficient to describe the relationship between…

A: The R-output of Pearson's correlation and Spearman's correlation is given.

Q: 4 + sinh(3x) = 4 cosh(3x).

A:

Q: Use differentials to approximate √16.5.

A: Given:

Q: In an effort to make the distribution of income more nearly equal, the government of a country…

A:

Q: A research was done to study the effect of ambient temperature, x, on the electric power consumed,…

A: Solution

Q: . Approximate the value of V65 by Newton-Raphson method letting xo = 5.

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: How is ln x affected if x is multiplied by et?

A:

Q: Suppose that a car accelerates at a rate of a(t) = t – 7 meters per second. Use the Fundamental…

A: ANSWER :

Q: Solve.  ln(sqaure root of z/xy)

A: We are given logarithm expression as

Q: If integration using u-substitution technique is used to solve for ∫2e2x1−e4x dx/square root of…

A:

Q: Use differentials to approximate radical (48.7)

A: Ne need to approximate √48.7 using differentials.

Q: Find y double prime by implicit differentiation8x^2+y^2=4

A: We have given

Q: 4. Show that the derivative of log,(Va +5) is 3(r + 5) In(2)

A:

Q: Use a linear approximation (or differentials) to  estimate the given number.    cube root of 1001

A: Given: 10013 or 100113

Q: What is the first derivative of s(x)=(7x)3x at x=4? Select the correct answer below:…

A: As s(x)=(7x)3x The function can be rewritten as:s(x)=x3x. 73xIts first derivative is given by the…

Q: Find the root using newton raphson method for f(x) = sin(x) − x²

A: Given function is f(x)=sin(x)-x2 From the given equation, it is clear that 0 is one of the root of…

Q: Jesaki Inc will sell N units of product after spending $a thousand in advertising, as given by N=71…

A: Take the derivative both sides and substitute the values then simplify.

Q: One side of a right triangle is known to be 20 cm long and the opposite angle is measured as 30 °,…

A: Given,  The one side of a right triangle is 20 cm long and the opposite angle is measured as 30°,…

Q: Use the composite Simpson's rule with step length h=0.5 to determine 1= [ (2x - - 3x2 + 4x – 1)dx,

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Q: The approximation of the root x* of the function f(x) = ln(x + 1) - x + 3 accurate to within 10-2…

A: Introduction: Another recursive technique for approximating the polynomials' roots is the secant…