Is the sequence divergent or convergent? Explain and give the solution of the answer.

Q: In the diagram below, figure b is the reflection of y = 2* in the line y = x. YA y = 2* y = x 3- b 2...

A: Given: - Figure b is the reflection of y=2x in the line y=x, To find: - An expression for the equat...

Q: Is the series convergent or divergent? Justify the answer {Vn – Vn + 1}

A: The solution is given in the next step.

Q: 1 i. g(x)= 3+9x? 1- 5 (Ans: (x+ x²)*. X + (x+ x -3 X + (x + x³ ) ³

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Q: sec?(0) tan (0) de

A: Follow the procedure given below.

Q: 3. A total Area of 2000 square feet is to be enclosed in two pens, as illustrated. The outside walls...

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Q: -lo I3+ 5 %3D dt

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Q: Convert the Cartesian coordinate (6, 1) to polar coordinates, 0 0. No decimal entries and answer ma...

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Q: Find the volume of the tetrahedron shown using the order dz dx dy. The tetrahedron is bounded by the...

A: Explained below

Q: 1. (w? – z2 – 4z – 1))dw + 2w(z + w + 2) dz = 0

A: We use exact and non exact differential equations concept to solve the given differential equation. ...

Q: 2. (s-s?- t?)ds + (t + s² +t ?)dt = 0 %3D

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Q: Work of 3 Joules is done in stretching a spring from its natural length to 14 cm beyond its natural ...

A: Let's find. 

Q: Using appropriate substitution, csc x cot x the integral S- dx is equal to: e+csc x -Inle + csc x| +...

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Q: Use the Ratio Test to determine the convergence or divergence of the series. If the Ratio Test is in...

A: The series is given by ∑n=1∞8n! To evaluate: The convergence of the series using the Ratio Test.

Q: 3. Let r be a root of x3 - 5x +7 = 0. In Q[r] express - 1- 7r + 2r2 a) 1+r + r2 | as a quadratic pol...

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Q: Use the ratio test to determine whether the series converges or diverges. If the test is inconclusiv...

A: Here we have to use the ratio test to determine whether the series converges or diverges.  ∑k=1∞2kk!...

Q: 1 En=1 4n² 8n +3

A: ∑n=1+∞ 14n2-8n+3using limit comparison testlimn→∞ 14n2-8n+31n2limn→∞ n24n2-8n+3factorisinglimn→∞ n2n...

Q: - 0.13t If C(t) = 79.8t e ng of a drug in a person's systemt hours after the drug is administered, h...

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Q: Convert the Cartésian coordinate to polar coordinates, 2T, r > U. No decimal entries and answer may ...

A: Follow the procedure given below.

Q: Find the inverse Laplace Transform of: s – 1 (s – 2)(s – 3)(s – 4)

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Q: A small funnel in the shape of a cone is being emptied of fluid at the rate of 13 cubic centimeters ...

A: topic - application of derivatives

Q: Use the shell method to find the volume of the solid generated by revolving the region bounded by x ...

A: Given problem:- Use the shell method to find the volume of the solid generated by revolving the regi...

Q: Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = 3 sin(x) + 3 cos(x), 0...

A: Solution: f(x)=3sin(x)+3cos(x)       on the interval: [0, 2pi] Take the derivative to both sides of ...

Q: a. Find a power function that models the data below. b. Find a linear function that models the data....

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Q: 3. The parametric equations r(t) = cos(t – t³),y(t) = sin(t – t°), t € R describe the position of a ...

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Q: Use the formula for the binomial series: 1+ mr + m(m-1) 2 , 2! m(m–1)---(m–k+1). (1 + x)" = + %3D k!...

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Q: (2v² + 4u²v)du + (4uv + 3u³)dv = 0

A: This question is related to differential equation.

Q: Find the time at which the brine leavir

A: Follow the procedure given below.

Q: 2. (s-s?-t?)ds + (t + s? +t ?)dt = 0

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Q: Determine the signs of f' and f" for each of the intervals. y = f(x) A Bc'D'E'F'G

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Q: Given R(t) =4 cos ti + (1+ 3cost)j + 5sintk. Find B(t)

A: This is a problem of vector. By using concept of unit tangent vector we will solve B(t) vector at t=...

Q: 3. Use g(x)=e* (x-a) and g'(x) =-2e (x-a)(x-ax-1) to answer the questions. a) Find lim g(x) and lim ...

A: This question is based on Finding limits using L hospitals rule.

Q: Evaluate by any applicable method. 2/2 cos³ y sinº y dy CoS None of the choices. Please refer to my ...

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Q: Find the volume of the solid obtained by rotating the 13 region under the graph of the function f(x)...

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Q: 6 36 36-y Top: y +z 36 Here is the region of integration of the integral dz dy dx. Rewrite the integ...

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Q: What is the Maclaurin series expansion of f(x) = ln(3-2x)? Give its interval of convergence. Approxi...

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Q: Find the difference quotient for: F(x) = 5/

A: The given function is:F(x) = 5x     To find difference quotient 

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

A: The given function is; f(x)=ln(x),x0=e5

Q: Problem 2. 00 Consider the infinite series Vn +4 which we compare to the improper integral 2 dx. Vx ...

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Q: By completing the square, dx the integral J is equal to: (x+5)Vx2+10x+21 sec-1+c x+5| + C sec- | + t...

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Q: Given R(t) = 4 cos ti + (1+ 3cost)j + 5sintk. Find B(t) att = B() =- 3 B(5) =+ 3 4 B(t) 5 k Option 1...

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Q: 8. Analyze the differentiability of the following function: f(t) = Vx² – 2 State the restrictions in...

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Q: (2a+y)dz + (a'y– a) dy = 0 %3D

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Q: E(-1)» ("" – n)" 2η n=1

A: Using root test

Q: Which of the following statements about quadratic functions are true? Select all that apply. OA quad...

A: topic - quadratic equations

Q: 13 A small funnel in the shape of a cone is being emptied of fluid at the rate of 15 cubic centimet...

A: Let's find. 

Q: Assuming that z is a differentiable function of x and y, Let F(x,y.2) = In(x*y) – e" - tan Find F. O...

A: Here, the given function is: F(x,y,z)=ln(x2y)-eyz-tan-1z...(1) where z is a differentiable function ...

Q: xdx + ydy = (x2 +y)dx

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Q: At what latitudes is the Moon always above the horizon when the Moon is minimum and maximum elongati...

A: In this question we have to find the position of moon with respect to equator line.

Q: 2. for the augmanted matrix

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Q: Find and simplify each of the following for f(x)=2x2-9x+5 A) f(x+h) B) f(x+h)-f(x) C) f(x+h)-f(x)...

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