Step 2 We use the substitution method to evaluate the integral 2x211t 4xdx dt dt хах 4 =_ ЕЗ

Q: Evaluate the integral. 4 (8 – t)Vt dt

A: We have to solve the integration

Q: integral -{cay,a> 91-) Evoluate te nplhas)ss - 24x<0, Ocyc1, -16241} . where

A:

Q: fino plYZ11?

A:

Q: Compute Forecast of Badgers for Period 16 by Moving Average method (N=5): Format: x.x (dot as…

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Q: MT BF due to tr 2 exp (tr/0.390) 9.6X1018)x 250x106 x1 tz 0:34Ne → TrE 14:99 x 151((p. ftip.fiop)…

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Q: -Svau Using Integration By Parts, x Arcsec 3x dx = uv- - Svau- Find uv- x² Arcsec 3x dx V9x2 – 1 o 1…

A: Here we have to solve the integration by using integration by parts.

Q: | In(vE + 5)dt

A: Given: I=∫lnt+5dt  ……1

Q: Use the error bound to find a value of N for which Error(TN) ≤ 10−6. If you have a computer algebra…

A: ∫251xdx

Q: This is on Method of Solution of Higher-Order Linear ODE with Constant Coefficients. Please utilize…

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Q: dt 15+2t-t

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Q: The value of the triple integral 0. 0. is

A: Evaluate:

Q: 8 Evelluate the double integral: + 3x) dydx

A:

Q: solve the deq by method of substituiton

A: The given differential equation is 2x+y+4dx+x-2y-2dy=0......(1) We shall solve the differential…

Q: 14. Estimate the area under y = 36-x² using 3 rectangles and the left endpoint method. y=M-2²…

A: Here we use the left endpoint method.

Q: Evaluate the Integral 2. S V5 + 12x – 9x²dx - ANSWER: 2. (3x-2)v5+12x-9x²+9Sin¬13*- 2]+C (3х-2)

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Q: Explain how you would decide between using the substitution method or the integration by parts…

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Q: Use integration fia(4s + 1)ds

A: Given that: ∫ln (4s+1).ds

Q: Differentiate y = laz az-1 In r Option 2 None of these 2n In z Option 3 Option 1 2ln-1 In z

A:

Q: Suppose that 3 of work is needed to stretch a spring from its natural length of 30 cm to a length of…

A: we know the work needed to stretch the spring W=12kx2 where x is the elongation. x=xf-xi=45-30=15…

Q: Suppose that 3 of work is needed to stretch a spring from its natural length of 30 cm to a length of…

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Q: Solve using Euler’s Method. Approximate up to 5 decimal places.

A:

Q: When do we use the method of substitution in integration? and is the "u-susbtitution" similar to the…

A: The Method of Substitution:The method of substitution is used in integral when it contains…

Q: Solve for DE: separable DE

A:

Q: dv Integrate 9 + v2

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Q: If the work required to stretch a spring 0.25?? beyond its natural length is 12 ?? − ??, how much…

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Q: is Flaiy)= integrahing an 2

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Q: 33. V2m – 1+2= m 34. V2x + 9 = VT + 3 35. Vē + V1- e = 1

A: 33. The given equation is, 2m-1+2=m

Q: Suppose that 3 ] of work is needed to stretch a spring from its natural length of 30 cm to a length…

A: Given problem:- Suppose that 3 of work is needed to stretch a spring from its natural length of 30…

Q: Suppose that 8 J of work is needed to stretch a spring from its natural length of 40 cm to a length…

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Q: I) Find q bound for the number of iterations needed to achieve an approximation with accuracy 10* to…

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Q: Evaluate the integral. 4 sec2(2t) dt 3+2 tan (2t) 2 4 sec (2t) dt%3D 3+ 2 tan (2t)

A: See the details solution in below

Q: Patient has 1,000 mL LR infusing at 80 mL/hr. A. Determine the infusion time in hours and minutes.…

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Q: Compute for the value of constant (C) by solving the given DE using integrable combination. Let x=1,…

A: We will find out the required solution.

Q: Due I Find J to fire placos of cecirmal by Newton-Raphson method , Describle Newton-Raphson Method…

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Q: Evaluate the indefinite integral. (7z + 7 71 + -dr Jz² +1

A: Given,          ∫7x+7x2+1dx

Q: A force of 30 N is required to maintain a spring stretched from its natural length of 12 cm to a…

A: Law used:  Hooks Law: Fx=kx where k is the spring constant.

Q: Prove that -mX 2mL -2 mL Cosh mL

A: The solution of the problem is given in the next step.

Q: Determine h and N to approximate the integral e- dt within an accuracy of G = 10-5 using the (i)…

A: ii)  Equation is f(x)=exp(-x2).The value of the table for x and y x 0 0.25 0.5 0.75 1 y 1…

Q: use integration by parts to establish the reductionformula.

A: To prove, ∫xnx+1dx=2xn2n+3x+132-2n2n+3∫xn-1x+1dx

Q: Find dy by implicit diffentiation: %3D

A: Given,           xy=1+x2y

Q: Estimate the error if cost? = 1– 2 in the integral fcosť² dt. 4!

A: Given- ∫01cost2 dt To estimate- The error in the above integral, if cost2=1-t42+t84!. Expression…

Q: Evaluate the integral. 4 VE dt VE 4 Vi dt =

A:

Q: Evaluate the integral. r1/2 xp VZ14 SV16X2 - 1

A: From the given problem:   I=∫2412dxx516x2-1 .....(1)   Let,…

Q: A water container with a square base, whose cross section is 4ft2 and whose height is 9 ft is fully…

A: Answer is mentioned below

Q: Choose the most appropriate answer: Evaluate the integral : (19 Inx) dt 38(2 In 2 – 1) 19(2 In 2 +…

A: We need to evaluate the following integral ∫1219lnxdx

Q: Integrate: dr z2 + 4z + 8

A: We will integrate the above expression.

Q: Choose the most appropriate answer: Evaluate the integral : S(19 Inx) dt O 38(2 ln 2 + 1) o 19(2 ln…

A: The integral is ∫12(19 ln x)dx

Q: Ĵ3xco0s(4–x²)–8xV4-x° dx

A:

Q: 2. Integrate using an appropriate method. 1 PVR-36° dr

A:

Q: dt 4e -et

A: To evaluate the integral: ∫dt4e-t-et Solution: Given integral can be written as:…