Classify the series as absolutely convergent, conditionally convergent, or divergent. 8 ka Σ 2sin k=1 O absolutely convergent O conditionally convergent O divergent

Q: dz Use the Chain Rule to find dt for z = x2 + y2 + xy,x = sin t , y = e'.

A: z=x2+y2+xy ; x=sint , y=et

Q: On the grid below: a) Graph & label each and all transformations using different colour pens of g(x)...

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Q: Let h(x) = f(g(x)) and p(x) = g(f(x)). Use the table below to compute the following derivatives. a. ...

A: h(x)=fgx and px=gfx

Q: Considering only the values of 0 for which csc 0(1+ cos 0)(1 – cos 0) is defined, which of the follo...

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Q: The function f(x) changes value when x changes from x, to xo + dx. f(x) = 2x- 2x, x, = 1, dx = 0.1 a...

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Q: Test the series below for convergence using the Ratio Test. 00 n5 0.8" n=1 The limit of the ratio te...

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Q: (6)The radiusr of a circle is increasin g at the rate of 8 cm per min ute. Find the rate of change o...

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Q: In the 2000 U.S. Census, a small city had a population of 50,000. By 2010, the population had reache...

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Q: Find the inverse function of f (x) = x3+12

A: NOTE: Refresh your page if you can't see any equations. . to find an inverse function, interchange ...

Q: Evaluate O xy°dx + x²dy, where C is the rectangle with vertices (0,0), (6,0), (6,4), and (0,4)

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Q: Given F(2) = 1, F' (2) = 5, F(4) = 3, F' (4) = 7 and G(4) = 2, G' (4) = 6, G(3) = 4, G' (3) = 11, fi...

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Q: Given: f(x) = x + Vx; xo = 1 a) Find the instantaneous rate of change of y with respect to x at an a...

A: NOTE: Refresh your page if you can't see any equations. . to find the instantaneous rate of change,...

Q: Find fxxx and fryx for f(x, y) = x*y2 – x³y.

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Q: 1. For function z = f(x, y) where f(x, y) = 4 – x² – 2y², we compute that fa(1,1) = -2 and fy(1,1) =...

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Q: sec2 x 2. csc2 x = %3D sec2 x-1

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Q: xy' + y = x³y³ Inx

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

Q: Find all points (x.y) where f(x.y) has a possible relative maximum or minimum. fx.y) = - 2 + 7xy - 6...

A: We have to find the maxima and minima of the function.

Q: Consider the function y= ln(x+1) . what valves" of x is For at y vndefined 7

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Q: 2. Determine the x-coordinate of the points where the tangent to the curve y = (x – 2)²(x + 3) is ho...

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Q: Let r(x) = f(g(h(x)), where h(1) = 5, g(5) = 4, h'(1) = 5, g'(5) = 5, and f'(4) = 8. Find r'(1). r(1...

A: Given thatrx=fghx where h1=5,g5=4,h'1=5,g'5=5,f'4=8 To find :r'1Solution:rx=fghxr'x=f'ghxg'hxh'xr'1=...

Q: Let us try to find where a function is increasing or decreasing given the following. 1. y = 2x –...

A: A function of x is given.We need to find the function is increasing or decreasing in the given inter...

Q: Problem 2: For the graphs below, write the intervals where the second derivative is a) Positive a) P...

A: Note:- according to the company policy we can attempt only one question so please upload the next qu...

Q: Given the following table, give the best estimate for f'(9) - f(9) 6. 9. 12 15 X f(x) 43 51 60 27 4 ...

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Q: D Evaluate without using calculator. Use the pythagorean identities rather thae reference txiangles....

A: a To find sin θ and cos θ if tan θ=34 and sin θ>0.b To find tan θ and cot θ if sec θ=4 and sin θ&...

Q: Find the derivative of the function. 3x-4 %3D 2. X+6x y' = ]

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Q: y = 6x² – 4x, - dy Find dt dx = 7,x = -2 dt

A: As per our guidelines we are supposed to answer only one question. Kindly re-post other question as ...

Q: 1. Find the root of f(x) = cos x + 2 sin x +x? by using Secant method. Let the initial value xo = 0 ...

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Q: In 2012, the average home cost was $267,000 in my hometown of Fillmore. In 2021, the average rose to...

A: In 2018 , the average home cost will be

Q: 36) -24i + 32j

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Q: 2. y = log, 3x(x – 4) 3. y = x + 3 In x 4. y = x2 In x

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Q: a. Calculate the value of the slope of Y = - 2 X4 + x -3- 2X -2 + 5 at X = -2

A: Since you have asked multiple questions, we will solve the first question for you. If you want any s...

Q: Find the intersection of the line and plane: 4x + 4y – 3z = 5, r(t) = (1, 1, 1) + t(1, –2, 3) %3D %3...

A: Given that line and plane are 4x+4y-3z=5  ,rt=1,1,1+t1,-2,3To find :intersection point of line and p...

Q: Create your own examples. Formulate one given 3x3 equation (3 equations and 3 unknowns). Solve each ...

A: Let the system of equation be      x-y+z=42x+y+z=7-x-2y+2z=-1

Q: Given soel end price cdemand) functions Cq) 120g 40,200 and p(q) = -2.1q + 890, what is the marginal...

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Q: Use by parts find r'cos x dx Jo

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Q: 2xy + x² + x*)dx –(1+ x²)dy = 0

A: See the details solution in below

Q: Find the derivative of the given function. t q= tan Vi+2 dq dt

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Q: As broadband Internet grows more popular, video services such as YouTube will continue to expand. Th...

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Q: Find the derivative of the function. F(e) = (3t + 18)2/3 f "(e) =

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Q: For the following composite function, find an inner function u = g(x) and an outer function y =f (u)...

A: topic - functions and derivatives

Q: Determine if v is an eigenvector of the matrix A. Select an Answer v 1. 25 8.99999999999999 1 A = , ...

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Q: Identify

A: We will solve the integration. 

Q: S sec(Vx) tan(/x)dx II 2 sin x 3 |cosx

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Q: (-금x+ 2, x 0 exist? If yes, give its value. If not, why?

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Q: Consider the vector field F = (7x + 3y, 3x + 2y) Is this vector field Conservative? ( Conservative I...

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Q: Given Cost and Price (demand) functions C(q) = 100q + 40000 and p(g) = - 2.6q + 800, what is the mar...

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Q: Use the implicit differentiation to find dy/dx for (e^x)y + tan(xy) - 5 = 0

A: Given that        (ex)y + tan(xy) - 5 = 0 

Q: Determine the general solution for each given higher order differential equation or particular solut...

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Q: MTH 1510 Notes - March 1, 20 webassign.net/web/Student/Assignment-Responses/submit?dep=28955775&tags...

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Q: Use the graph of the function to answer each question. (-2n < x < 2n) f(x) = cot(x) 3 –27 2л

A: We have properties of cot function to solve this problem