Determine whether the series converges absolutely or conditionally, or diverges. (-1)" + 1 n + 8 n = 1 converges conditionally converges absolutely O diverges

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Q: Area Between Two Regions Name: (a,h) (0, 0) (b,0) Use integration to determine the area of the…

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Q: Explain why the integral is improper. 18 .6 1.4 1.2 y F0.8 F0.6 F0.4 F0.2 -2 -1.5 -1 -0.5 At least…

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Q: Calculus The sales in thousands of a new type of product are given by S(t)= 260-90e-0.2t, where t…

A: Topic:- application of derivatives

Q: Find curl (8z i + 9x j + 8y k). curl(8z i+ 9x j + 8y k) = ( i )i + ( i j + ( )k

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Q: 3. S- dx 1-sin'x

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Q: 12) find the indefinite inteyral Inv dv 6 v3 Answery a) -L (2invtl /Ac 12 v2 bり- りよemvtiリ+c (2 12v2…

A: The given integral is ln(v)/(6v3).

Q: Find curl (7z i + 8xj+2y k). curi (7z i+ &x j+ 2y k) = (1 i+( j +( )k

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Q: xdx 46. S- V3+2x². – x+

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Q: 7.372 The rate of change of the weight of a mouse, can be modeled by r(t) grams per week, where t t…

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Q: Determine if the following series converge: 2.4.6 . · (2n) ... (a) (b) ) Inn 3.6 - 9 · · · (3n) ...…

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Q: find the first partial derivatives of the given function. complete solution z= 3x2y - y3 + 4x - 7

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Q: Question 5 Consider the exact first order diff. equ: M(x, y) = 2.xy –3x? N(x, y) = x² - 2y (I):…

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Q: dy cos (x) cos (Y) %3D da O a. 2 In sec (3) +tan (3)| = %3D O b. 4 In sec (3)) + tan (y) %3D

A: Given: dydx=cos2x cosy

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Q: Find the Taylor series for f(x) centered at the given value of a. [Assume that f has a power series…

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Q: 7. Find the linear approximation near (2, 0) of f(x, y) = 3x e¯3ªy.

A: To find the linear approximation for the given function.

Q: Problem 3. A stone is dropped in a lake, creating a circular ripple that travels outward at a speed…

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Q: f (x) = (x + 1)º – 9x – 2 %3D (a) Find the intervals on which f is increasing or decreasing (b) Find…

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Q: e the formula k(t) = F(t) × r"(t)|| to find k(t) r(t) = t’i+ t°j

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Q: ind 4 using implicit differentiation and evaluate the derivative at point (-1,2) 2.a°y + 5x?y³ = 2x

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Q: Find the derivative with respect to x. (c) y = v7x – x4 (d) y = (1+ sin 7.x)-5 (a) y = (5x – 2)*…

A: This question is related to derivative, we will solve it using given information.

Q: 2t +1 lt +8 -dt + 4t +4t 3

A: Let's find.

Q: dy (ay +3+x+3y) y(2) = 0 da 4(y+1) In x2+6x -12 a. y = + C O b. None of the choices is correct.…

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Q: 3. If z = f (x, y), where x = e“ – e® and y = e® – e", show that UTM UTM az az UTM X : az - ду dx…

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Q: Find V (V x F), if F(x, y, z) = 6ei+ 9xe'j - 5e k. V. (V x F) = %3D

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Q: Find V · (V × F), if F(x, y, z) = 3e"*i+3.xe"j – 8ev²k. V ·(V × F)

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Q: Consider the lines l : = 2 – y = z +1 and l2 : y - 2 3 1. Determine a direction vectors for the…

A: Consider the lines L1: x-12=2-y=z+1 and L2: 1-x2=y-2=z-33.1 To determine a direction vectors for the…

Q: Jack B. Nimble has a reputation for jumping over candle sticks. Just for kicks, do a new jump with…

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Q: Problem 7. Solve the equation logx+log(x+1) = log12 and leave your answer in exact value

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Q: Find 17. d Ssin (4x) cos(4x) dx

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Q: ; Test the following series whether it is convergent or divergent (show all your works) n2 +7 a) 2…

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Q: For f and g defined below: 15V 10 y = g(x) -10 10 15 y = f(x) -10- g(-5) is undefined. f(15) is…

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Q: S (1/(X(Im)*) dx X(Inx)

A: LetI=∫1xlnx2dxLet u=ln(x)differentiate 1xdx=duI=∫1xlnx2dx.I=∫1u2du.I=∫u-2duUse power…

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A: We want to find surface area

Q: Evaluate the line integral, where C is the given space curve. y dx + z dy + x dz, C: x = t, y = t, z…

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Q: 9. Let A be the coefficient matrix for the system of linear equations: 2x + 9y – 5z = 1, — 6х — 2у +…

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Q: Use the Root Test to determine the convergence or divergence of the series. (If you need to use ∞ or…

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Q: Find the constant a, such that the function is continuous on the entire real line. ( 2x², f(x) = if…

A: Given the function is f(x) = 2x2,if  x≥1ax-1,if  x<1

Q: Answer the following True or False: Let f(x) be a differentiable function, such that f(– 1) = - 5…

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Q: ) Find an equetionof tue tenyent line to the greph of d= In(x') at the point (l,0). Angwery8 a) y*-5…

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Q: Use the Rules of Differentiation to differentiate the following functions: a. f(x) = 2x³+ 6x d. h(x)…

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Q: FInd Fas a function of x and evaluate it at x = 0, x = 7T/3, and x = /2. FX) = F(x Cos 8 de Fx) FO)

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Q: 2)

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Q: 1 æ(ln æ)² de

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Q: detailed computation in determining the height of the cabin or part of the Ferris wheel at a given…

A: We are given a ferris wheel with the following informational : diameter : 64 m No of cabins : 32…

Q: Solve  x * (dy/dx) – x6ex = 4y

A: on solving this we will get :-

Q: Convert the following parametric curve into Cartesian form: * = 3 sin t, y = 4 sin t None of these.…

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