12 Find the arc length of y = In(1 – a2) on 0 < æ < 19 No decimal entries. Find the exact value. L

Q: What is the choice of substitution for S e*(1+e*)(1/2) dx?

A: The given integral,        ∫ex1+ex12 dx

Q: 10. Show that the function f(x, y,z) = 2z³ – 3z(x² + y²) satisfies the Laplace Equation,

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Q: dx Show that the integral (p is a positive constant) converges if and only 2x (Inx if p>1. Let a, =,...

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

Q: 15. The integrating factor to (2y? +3xy – 2y + 6x)dx + x (x +2y – 1)dy = 0, to make it an exact diff...

A: The differential equation Mdx+Ndy=0 is said to be exact, if ∂M∂y=∂N∂x. If the differential equation ...

Q: The integrating factor to (2y? + 3xy – 2y + 6x )dx+x(x + 2y – 1)dy = 0, to make it an exact differen...

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Q: d. tanY

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Q: The function g is related to one of the parent functions described in an earlier section. g(x) = 13x...

A: Answer B: f(x) =xg(x)=3 xConcepts:Vertical shift of a units: (up or down)g = f± aHorizontal shift of...

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Q: Use the graph of the function f shown to the right to estimate the indicated function values and lim...

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Q: Jse l'Hospital's rule to find the limit. HINT [See Example 4. x + 1 lim x+0 e*

A: limx→∞x+1ex = ∞+1e∞                    = ∞∞                    = indetrminant form Apply l'hospital ...

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Q: Evaluate the following improper integral. If it diverges, then type 'DNE. Otherwise, find its exact ...

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Q: sin(2Tx) lim x → 3 x2 – 9 | O -0.6667 T O 0.6667 T O 0.3333 ↑ О -0.3333 п

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Q: Please evaluate the following integral. Show all solutions

A: We have to find the given integral.

Q: B. Describe the intervals wherein the function is continuous. 1. 2. 10 10 8- 8- 6- 4 2 -10 -8 -6 6. ...

A: Note: Since you have posted multiple questions we will solve the first question for you. If you want...

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Q: Question 6 (x² – x + 1 When you evaluate: dx The sum of the coefficient of for any constant n>0 is 1...

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Q: Use any method to determine whether the series converge. (a) E =1 12* The series 1 (b2, 12* + 1 The ...

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: Solve the initial value problem: a" - 2x' = 12e2 – 8e-2", x(0) = -2, r'(0) = 12 %3D

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Q: y = tan In(x + sin x) %3D y = sin x + In sin e* %3D

A: y=tan ln(x+sinx) y=sinx+ln sinex

Q: inlメ- Vx?+* ) X→ め

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Q: For what function M(x,y) will the differential equation M(x,y)+(x² +x)dy = 0 be exact? а. 2ху — у c....

A: Given:M(x,y)dx+(x2+x)dy=0

Q: Use synthetic division to divide. (Simplify your answer completely.) 180x - x X - 6 x + 6

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Q: need

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Q: Use the double integral to find the volume of the tetrahedron bounded by the planes x + y + z = 3, x...

A: x + y+ z =3 z = 3 - x - y   The base of the tetrahedron (X-Y plane)is bounded by, x=3y, x + y = 3, x...

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Q: For the next five questions, consider the following differential equation: (y? + cy°)dx + (5y² – xy+...

A: Given differential equation is y2+xy3 dx + ( 5y2-xy+y3siny) dy =0 Also, given that M is coefficient ...

Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. 00 (-1)*+1 Σ 7...

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Q: 3y(x^2-1)dx+(x^3+8y-3x)dy=0 when y = 1 and x= 0 solve  solve using exact equations (diff eq)

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Q: A​ once-popular children's doll is slowly declining in popularity. The quartic function f(x)=0.002x^...

A:  The quartic function f(x)=0.002x^4+0.025x^3-0.36x^2-7.243x+86.993, where x is the number of years s...

Q: if r 5 3z, Given the function f(x) , determine which among I- 4, Va, the following limits do not exi...

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Q: Evaluate the following improper integral. If it diverges, then type 'DNE. Otherwise, find its exact ...

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Q: Use the four-step process to find f'(x) and then find f'(1), f'(2), and f'(3). f(x) = 3+ X f'(x) = f...

A: The objective is to use thefourstep process to find the derivative. 

Q: 21. In the linear differential equation of the form, Po (x)y(n) +P-1 (x)y(n-1) +...+P1 (x)y' +P, (x)...

A: According to Bartleby guideline, the only first question has been answered here. Please repost separ...

Q: In each part, find a formula for the general term of the the sequenc starting with n = 1. 1 1 1 1 1 ...

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub- parts for ...

Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the equation...

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Q: 9. What is the solution of (x? +2xy – 4y? )dx - (x² – 8xy – 4y² )dy =0 ? a. x? - 4y? = c(x-y) b. x? ...

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Q: Use the disk method or the shell method to find the volume of the solid generated by revolving the r...

A: Given: y = x3 y = 0 x = 3 (a) the x-axis (b) the y-axis (c) the line x = 8

Q: 1 (-1)" -(x- 1)" 3" In sigma notation, the Taylor series for about x= 1 is 2. x+2 n=1 O True O False

A: We have to determine whether the Taylor Series for 1x+2 about x=1 in sigma notation is ∑n=1∞-1n3nx-1...

Q: 18n + 10 S=1 Factor the difference an+l a, to show that the given sequence (a, } is strictly increas...

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Q: lim x16 x → 0 x2 – 2sinx +2x O 272 O 240 о 1

A: we will solve this using L'Hospitals rule. 

Q: dy = ay + b whose dt Write down a differential equation of the form 17 as t→ oo. 18 solutions all ap...

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Q: 3. If y = 2 x –-1, find the length of the graph of f from point z = 0 to z = 1.

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Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges. I...

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Q: B Find each limit in Problems 37-60. Note that L'Hôpital 's rule does not apply to every problem, an...

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Q: Differentiate (a). y = 23z+sin z² %3D (b). y = r³3=

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Q: What is the angle of elevation of the sun when a 41-ft mast casts a 10 ft shadow?

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Q: Find the value of lim f(x). Select the correct choice below and, if necessary, fill in the answer bo...

A: A)from graphlimx→3-f(x) =34B)limx→3+f(x) =-4