2 n+n+1 3″(n+1) n=1² n, 2

Q: By the alternating series test, the series First find the partial fraction decomposition of 7…

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Q: Suppose that a pencil holder is in the shape of a right circular cylinder, which is open at one of…

A: -Expressing the surface area A in terms of π and r: The surface area of a right circular cylinder…

Q: 2 Question 2.3a. Let Z1 = 1 and 22 Find the real part of 2₁ - 22. 0 - 2 1²/i.

A: NOTE: Refresh your page if you can't see any equations. . given complex numbers are

Q: 107 107 Suppose that a₁ = 9 and b₁ = -28. Compute the sum. i=1 i=1 107 Σ(1ai i-1 (1ai - 10bi)

A: we have given ∑i=1107ai=9   and ∑i=1107bi=-28

Q: Consider the indefinite integral x" (x5+7)5 This can be transformed into a basic integral by letting…

A: We are required to evaluate: ∫x4(x5+7)5dx

Q: A car is moving along a straight road. At time t seconds, the position of the car (in feet) is s(t)…

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Q: Suppose that a pencil holder is in the shape of a right circular cylinder, which is open at one of…

A: Solution

Q: Find the arc length of the curve on the given interval. (Round your answer to three decimal places.)…

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Q: 11,13 The expression log Alog(z) + Blog(y) + Clog(2) where A= can be written in the form B= and C=

A: Given Logarithmic Expression log( x13y13z16 ) Formula used log( xy ) = logx - logy log( xy ) = logx…

Q: The force on a particle is described by 8x³ - 2 at a point x along the x-axis. Find the work done in…

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Q: Find the equation(s) of the vertical asymptote(s) of the given rational function. x + 3 - 1 f(x) =…

A: To find the vertical asymptote.

Q: Two individuals are attempting to relocate a sofa by applying forces in the indicated directions. If…

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Q: inches. What is the largest volume that can be sent in a rectangular box? Girth girth are at most…

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Q: Find the general solution for the given non- homogeneous equation by using method of Undetermined…

A: The given differential equation is;  d2y/dx2 -4y = x+2-3e-2x. Solve by method of undetermined…

Q: O Find the parametric equation of a plane through the points (1,0,0), (0, 0, 1) and (1, 1, -1).

A: To find the parametric equation of a plane through the points 1, 0, 0, 0, 0, 1 and 1, 1, -1.

Q: Find the equation of the tangent line = 14x +y at (2₁-32), to the curve 3√xy 35 3√/xy

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Q: Find an equation of the plane. the plane through the points (4, 1, 4), (5, -8, 6), and (-4, -5, 1)…

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Q: To find the blue shaded area above, we would calculate: b [ f(x) dx = area Where: a 1 f(x) ■ Area ■…

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Q: Calculate the double integral over SS, (x² + 2y)dA, D is bounded by y = x, y = x³, x ≥ 0

A: ∬Dx2+2ydA ,D is bounded by y=x,y=x3,x≥0 Graph

Q: Determine whether the function is not differentiable using differentiability and continuity, and…

A: We have to find if the function is differentiable or not. First we will check the continuity by…

Q: Consider the following. y = 6sin(x) + sin(6x) 0.5 1 Determine the area of the region. 1.5 X 2 2.5

A: We need to determine the area of the shaded region given in the figure. The equation of curve is:y=6…

Q: 22. C = 100(9 + 3√x)

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Q: In Exercises 23-30, find an equation of the tangent line to the graph of f at the indicated point.…

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Q: Find the cross product a x b. a = 5j 6k, b = −i + 2j + k Verify that it is orthogonal to both a and…

A: NOTE: Refresh your page if you can't see any equations. . given vectors are

Q: I+tu ug LU Σ 18

A: By using the integral test to determine whether the following series converges. ∑n=1∞ 5nn2+1

Q: 29. A particle travels at 2 units per second along the curve y = x³ 3x² + 2. How long does it take…

A: A particle travels at 2 units per second along the curve y=x3-3x2+2. To find the time taken by the…

Q: a) What conditions on the functions g(t) and h(t) must be satisfied for the differential equation…

A: ( a ) Given differential equation g( t )dxdt + h( t )x = 0

Q: State the domain and the vertical asymptote of the function. Enter the domain in interval notation.…

A: The function given is, gx=ln(6-x)

Q: 7. Be sure to show and explain all steps. (f(x))(g(x)) Determine lim x→c (g(x))-Sh(x) lim f(x) = 10…

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Q: Suppose that R is the finite region bounded by y = x, y=x+4, x=0, and x = 2. Find the exact value of…

A: The region bounded by y=x, y=x+4, x=0, and x=2. We have to find the volume of the solid when the…

Q: 1. S 34x-1 3x - dx

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Q: Q1 Find all the eigenvalues and eigenfunctions for the following BVP: y"+Ay = 0, y (0)=0, y (π)=0…

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Q: Refer to 1b on the activity worksheet to answer the following. If a limit does not exist, then write…

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Q: S (26-7)6 This can be transformed into a basic integral by letting Consider the indefinite integral…

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Q: Consider the Fourier sine series of odd extension of the function f(x) = 3 - x, Letting g(x) denote…

A: Consider the Fourier sine series of odd extension of the function : f(x) = 3 – x,          0 < x…

Q: Consider the following definite integral. r3π/2 2 (t³ + sin(t)) dt Jπ/2 (a) Evaluate it "by hand,"…

A: ∫xndx=xn+1n+1+c ∫sinxdx= - cos x+c

Q: x² 1- x6 dx

A: Explanation of the answer is as follows

Q: x²

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Q: Evaluate the permutation. P(36,18)

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Q: Use the Chain Rule & Power Rule to complete the first line ONLY of the derivative for g(x) = (5x³ —…

A: The function is given by gx = 5x3-x44 To determine: The expression of the first derivative.

Q: Determine the convergence or divergence of the series

A: We have to find if the given series converges or diverges.   For this we will use the integral test…

Q: Performing the substitution yields the integral 2/(x²- +8) + C du syntax error. Check your variables…

A: the indefinite integral :   ∫ x6 x7+8 2 dx

Q: Suppose the straight lines L₁ and L₂ have respective vector equations 4 5 9 -5 (99)-0) -3 +t = -…

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Q: Calculate Əz dz 8²z 8² z ² z Әх’ ду' дх²' дуг' Әхду and write down the Hessian matrix for the…

A: calculate partial derivatives and hessian matrix for given function  (a) z =epxy2(b) z =xyp

Q: S4.2 Derivative of a Parametric Equaton Determine the slope of the tangent line, then find the…

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Q: The population of a certain state was 10,290,518 in 1945 and 23,626,378 in 1990. a. Assuming the…

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Q: $ 4 -1 -2 -5 S 4 5 The graph above shows the base of an object. Compute the exact value of the…

A: From the given figure

Q: Suppose that a particle moves along a straight line with velocity v(t) = 10-2t, where 0 < t < 3 (in…

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Q: What is the common ratio of the sequence 832, 208, 52...? A B C -4 -14 D 4

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Q: The equation of the tangent line to the graph of f(x) at the

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