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Q: n Express lim e"/n² re/n? as a definite integral. i=

A: The solution is given in the next step.

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A: I am attaching image so that you understand each and every step.

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A: For integral test, f(x)=ex1+e2x. Now,               ∫ex1+e2xdxLet  u=ex.=∫11+u2du=arctanuSubstitute ...

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Q: S5e* dx 12 dx 2 x+5 S(2-3e*) dx

A: ∫ 5exdx

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A: Given,            In determining the integrating factor exp∫pxdx for the first-order linear ODE.    ...

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A: To find: The volume of oxygen is in the space shuttle. Given information: A space shuttle carrying h...

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A: Let's find.

Q: Find the Taylor polynomials of orders n = 0,1, 2, 3, and 4 about x = x0 and then find the nth Taylor...

A: Solution: 5sin(πx);   x0=132,  n=0,1,2,3,4  

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A: As per bartleby guidelines we only give first question answers. (All are separate questions. )  

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A: linear differential equation

Q: Question 15 Find the distance from S= (1,1,5) to the line L: x=1-t, y=2-1, z=31.

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Q: 3. Find from the following functions: dx y = (12x + 2)(7x + 3)3/2 18+2x+7 y = (i) (ii) (3x+6)2/3

A: 3)I) y=(12x+2)(7x+3)3/2 ii)y=(18x2+2x+7)/(3x+6)2/3.

Q: (4) 3. Use implicit differentiation to find dy/dx of the following: x2 – 6xy + y3 = 24

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Q: Solve the given differential equation by separation of variables. dy ху + бу — х — 6 - - dx ху — 5у ...

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Q: In?(x) 25 log (x)

A: To find:-

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Q: Use the formula for the binomial series: m(m-1).(m-k+1). k! m(m-1) (1+ x)" 1 + mx + 22 + ... + %3D 2...

A: We have to obtain the Maclaurin series for 1+x5

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A: The given quantity is  sin(2π-x)

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Q: Q5) A) Graph the curve Y = - 2 x (x - 4)(x + 6)(x - 2) between the value of x ( then find the area o...

A:

Q: The average home attendance per week at a Class AA baseball park varied according to the formula N(t...

A: N(t) =950(4+0.3t)12 Substitute t=2N(2) =950(4+0.3(2))12

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A:

Q: Q3) A) Graph the two equations and find the points in which graphs intersect x+y = 0, y= -(×TDÍA UNI...

A: Given

Q: • 2 f(x)dx 2 du There is a function f(x) such that when u= - x°, the resulting integral is Evaluate ...

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Q: 3.(Straightforward) Determine if each of these differential equations is exact, and if so, solve it....

A: As per our guidelines we are supposed to answer only one question i.e. the question no 3)a). For the...

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A: The given function is: f(x)=1x+4 To find the Taylor series about x=8 for the function. For that the ...

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A: Explanation of the answer is as follows

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A:

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A: To solve the following integral, we use substitution method

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A:

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A: Product Rule of integration : ∫u.v dx = u∫vdx -∫(dudx∫v.dx)dx dsin(x)dx=cos(x)  and dcos(x)dx=-sin(x...

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A: I have stated the used formulas in the solution

Q: The derivative of the function y = cos(x ln 3)log3 (sin x) is:

A:

Q: 3. Let y = cot r + (cot a) In(sin a) and y" Show that -3 cot r +2y. %3D csc² r 4. Given the function...

A: Given: y=cotx+(cotx)ln(sinx)

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A: We know, ∫xndx= x(n+1)/(n+1) Let I= ∫12x/(x+9)⁶ dx

Q: HW/Sketch ) ソ=ー1-+2 (2) y=\x-3|-2 (3) y=3-x-3 (の y= 5+(x+2) x+3 (5) ソニ (O y=1-x-x

A: Reupload other questions according to bartleby guidelines

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A: Increasing function

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Q: 2022 2. Evaluate lim,tx (1+

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Q: S sin?3ß cos11ßdß

A: ∫sin23βcos11βdβ ∫ (1-cos6β)(cos11β)dβ/2 ∫(cos11β)dβ/2 - (cos6β)(cos11β)dβ/2 (sin11β)/22 - ∫(cos17β +...

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A: