Find a formula for the nth partial sum of the series and use it to find the series' sum if the series converges. +... ... 23 n(n + 1) n 9 n+1 An + 1):9 n+2 Sn 2: 9 n+1

Q: Find a plane through the points (-7,8,5), (-4,6,2), (8,2,-7) Question Help: D Video Add Work Submit…

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Q: Write the form of the partial fraction decomposition of the rational expression. Do not solve for…

A: Reducing to partial fractions

Q: Please solve and show full work

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Q: x2 1. Let f(x) = 3Vx² – 1 and g(x) x4 – 81 (a) Determine the domain of f and g. (b) Compute gof and…

A: Find domain.  According to guidelines we solve only first question.

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Q: QUESTION 6 Use trial-and-error to determine the smallest integer n for which the given statement is…

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Q: Four-bar linkages are one of the simplest family of mechanical linkage systems. Draw diagrams and…

A: Four-bar linkages are one of the simplest family of mechanical linkage systems.

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Q: The marginal cost function, in dollars per item, for producing the x th item of a certain brand of…

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Q: 2. Let f be continuous and differentiable everywhere. Suppose that f(-1) = f(1). Show that there are…

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Q: Write the first four elements of the sequence. n+1 3n- -1, 1, 콩, 글 1, 금, 글, 유 5. 2 0, 글, 글, 콩

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Q: Find the net area and the area of the region bounded by y 2cosx and the x-axis between x = - and x =…

A: Use the integration to find the net area and area bounded by the given region.

Q: Find the gradient of the function at the given point. g(x, y) = 20xeY/x, (9, 0) %3D Vg(9, 0) =

A: We can find the gradient as below.

Q: xY = 5x+6y + 2 4. X'y %3D e

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Q: Qi: The dimensions of a rectangular region are varying with the time (t) according to: L = 2t2 -8…

A: Consider a function y=f(x)  Then f '(x) is the rate of change of y with respect to x.

Q: 21) Find tre fourth degree Taylor poly nomial Centned at C=4 for the function. m 7 (x)=In(x) Angues…

A: Pn(x) = f(c) +f'(c)x/1! +f"(c)x2/2! +.....+fn(c)xn/n! here we have to make upto 4 degree f'(x) = 1/x…

Q: 7. * In [In (In æ)]

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Q: =i-j+ 2k and Find the area of the parallelogram that has u v = 2j + k as adjacent sides. NOTE: Enter…

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Q: Find the exact length of the curve. (Show all work separately and submit on HuskyCT immediately…

A: Given

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Q: 1. Apply Maclaurin's series to establish the power series of tanx.

A: Answer is in below step.

Q: Complete the table. (Round your answers to four decimal places.) x-4 lim x-4 x2 - 5x + 4 3.9 3.99…

A: We have to estimate the given limit.

Q: Write a definite integral that represents the area of the region. (Do not evaluate the integral.) x²…

A: The given curves are y1=x2+2x+5  &  y2=2x+15

Q: Find the vector component of v = (4, – 1,7) along b = (2, 6, –9) and the vector component of v…

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Q: Let z(x, y) = xy where x = r cos(20) & y = r sin(30). dx dy ду az & dr az Calculate by first finding…

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Q: Problem X.6 Let f(z) = : Find the interval of convergence for f,f',f". %3D n2 n=1

A: Ratio test:limn→∞ an+1an <1f(x)=∑n=1∞ xnn2limn→∞ xn+1 n2(n+1)2 xn <1limn→∞ x 1+1n2…

Q: Show that the lines L1 : x = 2 – t, y = 2t, z = 1 +t and L2 : x = 1 + 2t, y = 3 – 4t, z = 5 – 2t are…

A: To show that the lines L1: x=2-t, y=2t, z=1+t and L2: x=1+2t, y=3-4t, z=5-2t are parallel and to…

Q: Find the values of a and b such that f is differentiable at x = 3

A: Given,            The function is fx=ax+bx≤32x1-1x>3To find : Find the values of a and b such…

Q: The value of the double integral // (2x²y + 9y') d A, D where D is the region bounded by x and y = 2…

A: Given problem:-

Q: Find the seventh term of the geometric sequence from the given information. Express the term as an…

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Q: Find the particular solution determined by the initial condition. f'(x) = 3x273 - 6x; f(1) = - 7…

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Q: A company determines that its weekly online sales, S(t), in dollars, t weeks after online sales…

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Q: Find parametric equations of the line through (–3, 0, 3) that is parallel to 5i – 8j+ k. x(t) y(t)…

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Q: 28. f,(2,4) if f(x, y) = x* In y

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Q: Given that Vf (5, -4) = 8 i – 7j, find the directional derivative of the function f at the point (5,…

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Q: Find the tangent plane to the equation z = - 2a2 – 3y? + 5y at the point (– 4, 4, – 60) | Z = 16x…

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Q: Assume s is an angle with sin (s) = .t is an angle with cos (1) =. and both angles are between 0 and…

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Q: Use Lagrange multipliers to find the maximum and minimum values of ƒ subject to the given…

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Q: 4. How many fixed points does the function T(x) = tan(x) have? %3D

A: for fixed point f(x) = x x = tan(x)

Q: 2. Differentiate the following function: y = Jo tan 2x Hs dt. 1+t3

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Q: We have 3 3 27 dx dy = 4 y (x – 1)2 - Select one: True O False

A: Given query is to find statement is true or false.

Q: The marginal cost function, in dollars per item, for producing the x th item of a certain brand of…

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Q: A Finding Horizontal Asymptotes In Exercises 89-94, use a graphing utility to graph the function and…

A: Given query is to find the graph of the function and horizontal asymptote.

Q: Vectors v and w have magnitudes ||ü|| = 9 and ||w|| = 13 and the angle between these vectors is…

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Q: 2. A small business owner creates and sells x bars of handmade soap per month. The monthly profit…

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