Test the series for convergence or divergence. 72 = 1 (-6)m+1 48m

Q: For the function g(x) graphed here, find the following limits or explain why they do not exist. a.…

A: The graph of the function g(x) is shown as,Since parts a to c are already solved in original…

Q: Find the average rate of change of the function over the given intervals. f(x) = 12x³ +12; a) [5,7],…

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Q: Let g(2) = 42³ +7z7 Determine the most general indefinite integral of g. | (42³ + 7z") dz =

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Q: Use the formula f'(x) = lim Z-X f(x)=x²-x+4 f'(x) = f(z)-f(x) Z-X to find the derivative of the…

A: we need to find f'(x)

Q: 5. Find an asymptotic expansion for as x+∞. Cπ/2 o -x tan² t dt e

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Q: √ 5x(x² +4)√√x² + 4 dx. 2

A: To evaluate the following integral.

Q: per 59. Mixing Nuts A store sells cashews for peanuts for $1.50 per pound. The manager decides to…

A: Cashews cost =$5 per pondpeanut cost=$ 1.50 per poundmixture cost=$ 3 per pound

Q: 4x (11 + x) Find the first few coefficients. Suppose that CO C1 = C2 = C3 = C4= ∞ n=0 Cnx". Find the…

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Q: Functions f and g are given as follows. X 5 X+2 x + 2 Find each of the following functions and state…

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Q: Determine the convergence or divergence of the series. (If you need to use co or -co, enter INFINITY…

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Q: Sketch the graph of the function shown below. From the graph, find its domain and range. |xif -3<x<0…

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Q: What are the radius and the coordinates of the center of the circle with equation x2 +(y-2)2=30

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Q: A company has found that the cost, in dollars per pound, of the coffee it roasts is related to…

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Q: (11,20) (11,20) Show that (40) fdx+ gdy = f(4,1) 24x²y³dx + 40y^³dy is independent of path: J(4,10)…

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Q: The curve r(t)= (f(t),g(t)), where f and g are twice differentiable, has f'g'"-f"'g' curvature…

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Q: Let g(z) = √√23 Determine the most general antiderivative of 9. | √dz = [

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Q: Find the dimensions of the right circular cylinder of greatest volume that can be inscribed in a…

A: The right circular cylinder is inscribed in a sphere of radius .The aim is to find the greatest…

Q: Find the mass of a lamina bounded by y=5√x,x=9,and y=0 with the density function σ(x,y)=x+1

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Q: Find the exact location of all the relative and absolute extrema of the function. (Order your…

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Q: dy Write the function in the form y=f(u) and u = g(x). Then find dx y = 9 8x 5 U= (Type an…

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Q: Find the centre of mass of the region between y = x x² and y = x³ from x = 0 to X = 1.

A: The objective of this question is to find the centre of mass of the region between the curves y =…

Q: A company finds that the rate at which the quantity of a product that consumers demand changes with…

A: Consider the given marginal-demand function,

Q: 2x³+x²+x+1 x→∞0 4x³-x²-8 √x²+x+1 lim x→∞ √4x²+3 k. lim 1.

A: K) limx-infinity (2x3+x2+x+1)/(4x3-x2-8)I) limx-infinity +x+1)/sqrt(4x2+3)

Q: Let sin A = (-1/sqrt10) with A in QIII and tan B =(3/4) with B in QI. Answer Exactly. Find tan (A+B)…

A: Given,

Q: Find the ninth term of the binomial expansion. (p+q) ¹¹

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Q: If f(x) - Sto = t5 dt then f'(x) = and ƒ'(−4) =

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Q: Find the degree 3 Taylor polynomial T3 (x) of the function f(x) = (7x - 1) 4/3 at a = 4. T3(x) =

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Q: Find parametric equations for the following curve. Include an interval for the parameter. The left…

A: We have to use the concept of parametric equation

Q: i. x+1 lim X→∞ X-1

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Solve the following initial value problem. dr dy = x3 / x5, y(0) = 0 y =ㅁ

A: To solve the following initial value problem.

Q: Find an equation of the curve whose tangent line has a slope of f'(x)=x given that the point 1,-…

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Q: The approximate rate of change in the number of design patent applications received in recent years…

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Q: 2 Assume that f'(2) = -9, g'(3) = g(3)=2, and y=f(g(x)). What is y' at x = 3?

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Q: At which of the value(s) of x below does f(x) = ²³² +5x² + 25x + 1 have a horizontal tangent line? O…

A: Given that, the function is .We need to find the value of x for which the given function has a…

Q: If g(s) = * · 86 0 g'(s) = √5 + x7 dx, compute g'(s).

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Q: Find the area of the shaded region. r² = sin(20) P.

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Q: The system of differential equations : has the solution Y = C₁ et V₁ + C₂ ezt V₂ + C3 e¹³ V3 where…

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Q: lim       sin(π+h)- sinπ                                      h→0     —------------…

A: Note:-Since your part a incomplete ,please repost part a again(b)

Q: Hello, I need to evaluate the limits below but the grahp is made on paint, sorry about that.…

A: Given graph of function

Q: The Maclaurin series of the function f(x) = 6 cos (5x²) ∞ can be written as f(x) = Σ n=0 where a few…

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Q: The position of an object in circular motion is modeled by the parametric equations x = 9 sin(2t) y…

A: Note: Due to guidelines, I can solve only first 3 sub parts.

Q: 5. If A = (611). 0 then eª = e e (8 €) e

A: A=

Q: 17. Determine whether the sequence converges or diverges. Find the limit if converges: a = 2n+3 2n+1…

A: To determine whether the sequence converges or diverges.To find the limit if it converges.

Q: Find the absolute maximum and the absolute minimum for the function x² x + 1 f(x)= x = Absolute…

A: The given function is; f(x)=x2/(x+1) , [-2.5,-1.9]

Q: The function C(t)=C0(1+r)t models the rise in the cost of a product that has a cost of C0 today,…

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Q: (−1)" (x + 15)" Σ 10" 14 n=|

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Q: Use the right Triangle below to identify the following trigonometric values. Please can I get the…

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Q: Evaluate the following limits algebraically. 1. lim x--> - infinity   2x^2 / (x^3 + 5x)

A: Note:-Since you asked multiple questions, according to our policy we can answer only first question…

Q: d. e. lim 4x(3x + 4)² X→-1/2 lim (5-y)¹/3 y-3 3 h→0 √3h+1+1 f. lim

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Q: The equation z = 5r cos (0) is given in cylindrical coordinates. Convert the equation to Cartesian…

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