Find the sum of the convergent series tan - ( m til tan M=1

Q: Consider the function f(x)=4x+1. (a) Estimate the area between the graph of f and the x-axis between…

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Q: Remember to show your work! 1. The revenue from ring tones was $448 million in 2010 and appears to…

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Q: +o0 4+ cos? n Σ 3n – Vn n=1

A: The given series is: ∑n=1∞4+cos2n3n-n3

Q: Given: a, = In(n + 1) – In(n) for n e N Determine if the following is convergent or divergent. (a)…

A: Given that an =ln(n+1) - ln(n) We have to find whether the sequence ann=1∞  is convergent or not. A…

Q: 4. Find the exact length of the curve. Show All Work and Give Answer In Simplest Form. r = cos“ 2

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Q: Find parametric equations of the line that satisfies the stated conditions. The line through (5, 2)…

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Q: The thickness of the shell is a = 0.5 centimeter. Use differéntials to approximate the volume of the…

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Q: Q2) Solve the D.E xdy + (2y-x*+ 3x)dx 0

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Q: Consider an = tan-ln 1. Determine if the sequence {an}=1 converges or diverges. 2. Is the series am…

A: See the answer below

Q: Find an equation of the line that is tangent to the graph of f and parallel to the given line.…

A: Given problem:- f(x) =x2 ,  Find equation of tangent line which parallel to line 8x-y+16=0

Q: Evaluate: y6 sech(e™ny) tanh (e 7Iny)dy (A sech (y") + C -sech2(y7) + C 7 В -uch(7") + C (y?) +C D…

A: Given: I=∫y6seche7lnytanhe7lnydy   As we know from the logarithmic rule: (1). logaxb=b·logax, x≥0…

Q: An oil storage tank ruptures at time t = 0 and oil leaks from the tank at a rate of r(t) = 65e-0.02t…

A: Given: r(t)=65e-0.02t Now, 1 hour=60 minute The amount of oil leaked in first t minutes is ∫0tr(t)…

Q: Are the lines x = 11–10t, y = 10–5t, z = 4–0 O No O Yes

A: Given: x=11-10t,y=10-5t,z=4-6tx=5-11t,y=5-t,z=9+8t

Q: 1. Identify the type of conic section whose equation is given, then find the vertices and foci. Show…

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Q: Determine whether the given converges or diverges. n Σ 2n + 1 n=1

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Q: Find f^(100)(x) whenever f(x)=(x+2)^100

A: Let's find.

Q: 8. [sin? x cos' x dx Ssin*

A: (8). Given: I=∫sin2xcos5xdx   As we know from the trigonometric identity; sin2x+cos2x=1 And The…

Q: If f(x)=sin(sin x) then f'(0) is .. Jika f(x)=sin(sin x) maka f'(0) adalah ... 1. O -1 2. O 1 3. O 0…

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Q: Vx2 – 4 dx

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Q: Q3) Evaluate triple integral SN S dz dx dy . x-y

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Q: 1. Evaluate the integral. Shade the region whose net area you have found. Ax) a). 4 b). (x² – 2x –…

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Q: Given the function f(x, y) = {ln (x2 + 4y2 − 4)} / [x + 1] Express the domain of f as a set…

A: The given function,      fx,y=lnx2+4y2-4x+1

Q: What is the area of the region bounded by the graphs of y = x and y = x°? Answer is in square units.…

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Q: I. Evaluate the following integrals. 1 1. -d.x x(9 – In² æ)5/2°

A: Given

Q: 1 + 2x 2. Find the exact length of the curve y =- 2<x<4.Show All Work and Give Answer In Simplest…

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Q: Find the derivative. f(x) = 2^x {ln[cot(x)]}^2

A: f(x) = 2x*(ln(cotx))2 here we use chain rule  d2x/dx = 2xln(2) d(u*v)/dx = vdu/dx +udv/dx…

Q: y = [Arcsec(tan r)]ecsc 2r SC

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Q: Find the volume of the solid obtained by rotating the region bounded by the curve y= x+1, y= 0, x=…

A: Let's find.

Q: Calculate the following limit: lim,1 a2+5x-6 x2-7x+6 O -7/5

A: we have to find the value of given limit limx→1 x2+5x-6x2-7x+6

Q: 4). | (5 sin 2x) dx = 2

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Q: 3n+1 6-1

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Q: Find the general solution of 2x². 2² + y? dx Find the general solution of (2x – y) dy 2y – x d.x dy…

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Q: Determine whether the following converges or diverges {(5) n 2n +1 n=1

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Q: 9. x =t² +1, y = 3t² + 2t . a) Find dy/dx Show All Work and Give Answer In Simplest Form.

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Q: Find Duf at P. 1 1 f (x, y) = 5(4+ xy)3/2; P(3,4); i+ j и %3 V2 NOTE: Enter the exact answer. Duf =

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Q: The round off errors when measuring the distance that a long jumper has jumped is uniformly…

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Q: A particle moves along the x-axis with velocity given by v(t) = 6t2 – 18 for time t > 0. If the…

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Q: 570 8. The demand function of an electronics company's car stereo is p(x) Find the 2х +7 consumer…

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Q: dx b. (x² + 1)(x² – 2x + 1) -

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Q: QI) Evaluate the integral dy dx using polar coordinate

A: To evaluate the given integral using polar coordinates .

Q: Q2) Solve the D.E xdy + (2y-x* + 3x)dx D %3D

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Q: Find plane area inside the polar function r = 2 and outside the polar function r = sin -0)+1 in…

A: The area inside a polar curve ro=g(θ) and outside the polar curve ri=f(θ) is given by…

Q: 1 If the integral A = S -dx is changed using substitution t = tan then A = ... sin x-cos x 1 Jika t…

A: A =∫ 1dx/(sinx - cosx) substitute  t = tan(x/2) differentiate with x dt/dx =(sec2(x/2))/2 dx =…

Q: (-1)" (2n+1)! Given: sin x = En=0 x2n+1 for x e R 100 What is the exact value of the sum 2n=0…

A: The series given is: sin x=∑n=0∞(-1)nx2n+1(2n+1)!, x∈ℝ...(1) To find the exact value of the series…

Q: 1. Y = 2 – 7.x fa) — 4 — 5х — 21? 2. 3. Y = 2x³ – 3.x

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Q: What is the value of the slope of the tangent line to the graph of y at the point (-1, -) O 1/2…

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Q: Find an equation of the line that is tangent to the graph of f and parallel to the given line.…

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

Q: Given: y (3) - 9: a. Determine the y-intercept algebraically 1. b. State the asymptote c. State the…

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Q: 2n + 1 n=1

A: We have to check sequence convergence.