Write the sum using sigma notation: 9+ 13 + 17 + 21 + ...+ 57 = B, where n=1 A = B =

Q: Find the absolute maximum and minimum values of f(x) = e * – 3x on [0,5].

A: f(x)=ex-3x Take derivative wrt to x f'(x)= ex-3

Q: 1 Determine by the direct comparison test if Ln=1 2n+1 converges or diverges .

A: We have to find convergence test

Q: H.W. 1. Find the arc length of the curve x = (y + 2)/2 from y=0 to y=1

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Q: Find the length of the curve y ' = 8x from x=1 to x = 8 www

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Q: Solve the equation .11 y" + 3y' + 2y = x2

A: Given, y''+3y'+2y=x2 First let's find the Complementary function Re-writing the given equation as…

Q: 3. A particle moves along a coordinate axis. Its position at time t (sec) is s(t) = | f (x)dx feet,…

A: answer is in next step

Q: Use the Trapezoidal Rule and Simpson's Rule to approximate the value of the definite integral for…

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Q: Question #6 The area in square meters of a pond covered by an aigae bloom decreases exponentially…

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Q: onvert (-1, v3

A: Given point (-1, 3)

Q: Find the radius of convergence, R, of the series. 2 n!(2x – 1)n n = 1 R = Find the interval, I, of…

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Q: Evaluate the integral. (Use C for the constant of integration.) | 1923e dz

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Q: Find the general solution of the second-order differential equation: 4y" – 4y' + 13y = 0.

A: We have to find the solutions

Q: A construction worker pulls a five-meter plank up the side of a building under construction by means…

A: Explained below

Q: Use a familiar formula from geometry to find the length of the curve described and then confirm…

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Q: 11. Solve the second-order differential equation y" – y' – 2y = 20 cos x using the method of…

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Q: bles or the table to evaluate the fo e table of general integration formu

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Q: * The solution of the differential equation below is dy = ky dx %3D x = eky y = ekx Option 2 O…

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Q: What is order of the equation 2y" + 2y' +3 = 0 Second order O Third order O First order O Zero order…

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Q: Find the radius of convergence, R, of the series. (-1)" 2" n = 1 Find the interval, I, of…

A: for radius of convergence of a series  we will calculatelimn→∞an+1an<1  for the series ∑an  and…

Q: Use the Ratio Test to determine whether the series is convergent or divergent. 00 5 n! -1)". 11 18…

A: We have to find out convergence test

Q: 3 4x Evaluate -dx. 4 2 x'-6 3 4x -dx = x* -6 4 (Round to the nearest thousandth.)

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Q: Find a formula for Sn, n > 1, if sn is given by 6 7 3' 5' 7' 9' 11 4 8 - Sn =

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Q: ?Which of the followng equations is an exact differential equation +1) dx - xydy 0 2xydx + (2+x) dy…

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Q: 2. Find the limit or show that it does not exist: lim (2,y)→(0,0) 2x6 + y?

A: We have to find limit

Q: The solution of the differential equation below is dy 3y- + 4x = 0 dx %3D

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Q: Solve the equation xy^3 dx + e^(x^2) dy = 0.

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Q: 3n3-2n2+4 6. Determine by the limit comparison test if Ln= n=D1 converges or diverges. n7-n3+2

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Q: what is the sum of a+b+c of the intersection of the plane and line parameterized by x=r, y=1+r,…

A: A plane perpendicular to a vector and through a point In vector form, a plane's equation is…

Q: @ find dy 3\nx when 2)

A: As per guideline we have to solve one question Please repost other question again

Q: Evaluate the following integral. 2x +5 dx - 2 Le 2x+5 dx = (Type an exact answer.) - 2

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Q: (26) Denote the second Fourier sine coefficient on the interval [-L, L] by L A2 = / f(x) sin -L Show…

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Q: dx If the derivative dy (instead of 2) exists at a point and = 0, then the tangent line at that…

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Q: * What is order of the equation 2y" + 2y +3 = 0 Second order O Third order O First order O Zero…

A: Find the order of the differential equation 2y"+2y+3=0

Q: The solution of the differential equation below is dy = ky dx %3D

A: Given query is to find the solution of the differential equation.

Q: Use the Integral Test to determine whether the infinite series is convergent. A n+4 n=2 Fill in the…

A: We have to find out the convergence test

Q: Onelogin - Section 104 Homework…

A: Given curve, r=2+3cosθ

Q: 11. ſ sin? x cos² x dx

A: Given ∫sin2x cos2x dxTo find integration:

Q: Given the function f(x) = 3x – 5 and the function g(x) = 6x² + 8x + 27 determine each of the…

A: The given functions,fx=3x-5gx=6x2+8x+27

Q: 9) |x² cos(5x? )dx

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Q: a multi-part problem. If F(t) = + 4t² 412 – t+ 9, find F'(t). 3 This is F'(t) = |

A: Given query is to find the derivative of the expression.

Q: Given G(x) = jin(2t+1)dt , find G '(x). O In(2x + 1) O In(2x + 1) - In3 O In(2t + 1) + C 2 2x+1

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Q: yA C(0, 1) B(1, 1) y=Vx R2 R3 R1 A(1, 0) Referring to the figure above, find the volume generated by…

A: This question can be solved using the concept of volume of solids generated as a result of rotation…

Q: Solve the equation y' = csc(x) - y cot(x).

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Q: This equation is an example for linear equations dy y + dx x²e* False O True O

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Q: x2 C. y=- ,2 х*+2х-15

A: c.) y=x2x2+2x-15Differentiating w.r.t xy'=x2+2x-152x -…

Q: 2. Evaluate f]x-1dx 1 O 2 O None of these

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Q: sin Inx 12. S dx x cos² In x

A: Given integration is ∫sinlnxxcos2lnxdx We solve the integral using proper substitution.

Q: H.W. Solve the fallowishg first order OE -3= \-yャメ- %3D y3 5-0 J2. Sinx

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Q: Solve the system, or show that it has no = is any real number.) +X- -y = 5

A: Given system of equation 34x+12y=5     . . (1) -14x-32y=1   .. (2)

Q: 1. The line segment from (1, –1,3) to (0, –3,1) forms a diameter of the sphere S1. Find the…

A: Given problem:- The line segment from (1,-1, 3) to (0, -3,1) forms a diameter of the sphere S₁. Find…