Determine uhether the series is convergent or divergent.Write the exact test that you Use. 8 n-1 2n

Q: sec2zydy Evaluate the integral: Jtzy(3+tan-zy) A. In(3+ tan²2y) +C In(3+ tan?2y) +C In(3+ tan 2y) +C...

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Q: Express the following radian measure to degrees. 1) 150 2) 210 3) 100 4) 120

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Q: 3. Solve for fe)(r) given that f(r)% = sinh(3r)

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Q: A statement S, about the positive integers is given. Write statements Sk and Sk+ 1, simplifying stat...

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Q: Classify and Solve; Find the complete solution for the ODE ( D³-5D²+8D-4),y=e²x +2e+3e*)

A: This is a problem of differential equation. Total solution of this equation is sum of complimentary ...

Q: Determine the total work, by Green's theorem, done by the force field F(x, y) =, on a particle follo...

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Q: 2x2 +13 5. S (1-x) (x2 +4) (++ z^)(x-1)

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Q: H. The population is 900 in the beginning and will grow by 300 people during the next two years.

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Q: The displacement of a particle on a vibrating string is given by the equation s(t) = 15+sin(8t), whe...

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Q: Find the maximum and minimum values of the function f(x) = In(x) on the interval [1,6] by comparing ...

A: The given function is: f(x)=ln xx

Q: What is the equation of the line Lz pass through the point ( 2,-1) that is parallel to the line L, w...

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Q: dx Evaluate: J sin x A. 3tan'x ++C C. tan'x +C tanx tan x + C tan 2x D. в. 3tan'x tanx 2tan2x

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Q: (2x² + 3) dx (x² + 1)2

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Q: QUESTION 10o Select each convergent series from the options below. No work required. 1 n=1 5 n=1

A: P-Test: The series ∑n=1∞1np converges if p>1 and diverges if p≤1 The series ∑n=1∞rn converges if ...

Q: Find the exact length of the curve. x = et − 9t,    y = 12et/2,    0 ≤ t ≤ 2

A: Note that:Arc length formula = ∫abdxdt2+dxdt2 dt                   where , a≤t≤b       Given,       ...

Q: 20. x4 - 2х2 + 4х +1 х3 — х2 — х + 1

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Q: Find the interval of convergence (-1)"n (x + 3)" 4" n=1

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Q: I. Define the function S(In(r + 1)] cosha+ tan a ,r 2 0 (sinh r) sec- (r- 2) S(r) = %3D ,r < 0 1. Sh...

A: Since you have posted multiple questions, we will answer the first one for you, to get the remaining...

Q: 04: Show that y = 35x - 30x +3 satisfies (1-x)-2+20y = 0 da

A: We have to show y=35x4-30x2+3 satisfies 1-x2d2ydx2-2xdydx+20y=0

Q: Determine the total work, by Green's theorem, performed by the force F(x, y) = field, on a particle ...

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Q: Use Lagrange multipliers to find the indicated extrema, assuming that x, y, and z are positive. Mini...

A: This is a problem of maxima and minima. Based on the general formula we will find out the value.

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Q: Euler Cauchy Method: Apply Euler Cauchy to solve the Differential Equation (DE) of y' = y - x. Wher...

A: This is a problem related to numerical method. Here two ways are given to solve differential equatio...

Q: ydy A) y* +Sy +6 B) x+x²+x+2 x* +3+2

A: use partial fraction method to integrate

Q: Find the volume of the solid generated the area bounded by the line through (1, 3) and (3, 7), and t...

A: Let's find. 

Q: Use Disk Method or Washer Method (for all parts) to set up an integral (without the absolute values)...

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Q: There are 12 people in a dinner gathering. In how many ways can they arrange themselves around a din...

A: We use permutations and combinations. Number of ways to arrange n objects in n places is n! Number o...

Q: 1. Find the derivative of f(x) = x² – 3x. Use the result to find the slope of the tangent line to th...

A: Since you have posted multiple questions in this question which are not interlinked so I have solved...

Q: 3. Determine if f is differentiable at x = 0 given that -1 4 cos if – 2 0, x + 1 (x-1)6'

A: Since the student has posted multiple questions and does not mention any specific question, so we ar...

Q: Sketch the graph the integrands and use areas to evaluate the integrals. La |(1- l2) dx а. -1 3/2 (-...

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Q: Find the area of the region enclosed by the curves x = 7- y and y = Vx+5, y = 0. Give the exact answ...

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Q: Evaluate: A. T B. V c. V D. еп

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Q: Use implicit differentiation to find y' for 3ar y + In(ry') = 3 and then compute y' at (1, 1). Answe...

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Q: 9-x2 C: Change to polar and evaluate the double integrals S (x3 + xy?)dydx V9-x2

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Q: Find the volume of the solid of revolution obtained by revolving the region bounded by y = x - X*2 a...

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Q: solve for linear equation y' = x - y

A: To solve linear differential equation.

Q: Find a value a > 0 so that the graph of the exponential function f(x) = a" contains the point (3, 1/...

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Q: Q2: Sketch the polar function r = 6 cos 30 ,-n <0 < T

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Q: Question: * Using integration by parts, integrate S In 5x dx A. xln 5x – x+ c с. 5xInx - х+ с в. х? ...

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Q: -dx x2+x-6 xp* C. 13 D. the integral is diver A. 4 В. 6 A

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Q: S 3x° V1 – 2a3 l 2³ – 3x 1. Let f(x) = if æ 0

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Q: A certain TV program earns a rating of 11.5, in a time period when 57.3% of television households ar...

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Q: Find the area bounded by the curve xy = 2 and the line x+y = 3. A. 0.17 sq. units B. 0.11 sq. units ...

A: Given problem:- Find the area bounded by the curve xy = 2 and the line x+y= 3

Q: s opposite direction to the vector u = .

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Q: बिले (x-1) (x+1)

A: solution )∫x/(x+1)2(x- 1) = I use of integration of partial fraction  x/(x +1) 2( x - 1 )  A/(x + 1 ...

Q: We have from part (a) that f(x) = 3x- 8 x +8 r-l(x) Sketch the graph by plotting the lines of f(x) a...

A: Find your answer below 

Q: Find R of the function Y = f(x) = Vx %3D all X 0<X < 00 2 Ls O خيار 3 12X 2 3 -2 <Y< 2 0 الخيار رقم ...

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Q: Find the volume of the solid formed by revolving the region bounded by the graphs y=x and y=x' from ...

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Q: Consider the parallelepiped with adjacent edges u = 8i + 6j + k v = i+j+ 2k w = i+ 6j + 3k Find the ...

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Q: In the following figure, identify the terminal side of an angle in standard position with given meas...

A: Angle measured in anti-clockwise direction from positive x-axis is taken as positive and negative in...