Vs = ft - f- f+ + f =

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Q: Find the radius R of convergence for the series R = n=1 n! xn nº

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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: d) Write an expression that represents the approximate value of g(x) for a generic value x in the…

A: The graph of the function g'(x) is shown as,

Q: 2. f(x) = = 1 1+72) [0,4], n = 4 , 1+x²¹

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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: 3. (a) (b) YA -2- X 0 g(x) Let f be the function whose graph is given below. X g'(x) 0 2 Complete…

A: As per our guidelines, we can solve first one as your both parts are not small. Please repost the…

Q: Sketch the graph of the quadratic function. f(x) = x² — 20x – 800 - -

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Q: Find the area of the region bounded by: p2 = 72 cos 2

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Q: Evaluate the following limits algebraically. 1. lim x---> 2      {5x - 7; x = 2

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

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A: The objective of the question is to identify the critical numbers of the function and determine the…

Q: The amount of carbon-14 present in animal bones t years after the animal's death is given by P(t) =…

A: The amount of carbon-14 present in animal bones t years after the animal's death is given…

Q: Find the arc length for the curve c(t) = (t³ + 1, t² – 3) over the interval 0 ≤ t ≤ 1.

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

Q: 1 if x > 0 - 1 if x < 0 c. Find the domain and range of f. Let f(x) = .a. Find f(-16) and f(14). b.…

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Q: 2x 1) Calculate the derivative of h(x) = √√e²x +e-²x

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Q: :) 2 ↑ t Suppose g(x) fict) > 0 Por all Investigate whether gaxs min. (ii) an inflection local max…

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Q: The equation of a hyperbola is (y + 3)2 - 16(x-3)² = 16. a) Find the center, vertices, transverse…

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Q: Find y'' if y=-8 cos x. OA. y'=8 sin x OB. y'= -8 cos x OC. y'= 8 cos x OD. y'= -8 sin x

A: Explaination of answer is as follows

Q: lim n→∞ (1 + 1/2 ) ² = 2n

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Q: Express the function as a power series by first using partial fractions. f(x)= 2x+5 x2+5x+4

A: Given: f(x)=2x+5x2+5x+4let's first factor the denominator and then use partial fractions.The…

Q: Find all exact solutions on the interval 0 ≤ 0< 360°. If there is more than one answer, enter them…

A: 2 cos(theta) = - sqrt(2), [0,2 pi)

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

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Q: 5. Example: The graphs of f and g are given. Use them to evaluate each limit, if it exists. If the…

A: A graph of the functions  and  are given.The aim is to find the following,(a) (b) (c) Note:  Since…

Q: Find the cube roots of 125i. (Enter your answers as a comma separated list.) Sketch these roots in…

A: The given complex number is By De Morive's theorem The nth root of a complex number is

Q: 4. For the function fwhose graph is given, state the value of each quantity, if it exists. --2- 0…

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Q: To check for the result, you have to prove that + C] = 8⁹. + sec²0. d 1 10 de Evaluate the left side…

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Q: Find all exact solutions on the interval [0, 27). If there is more than one answer, enter them as a…

A: The given equation is; 9cos(2t)=9cos2(t) -2, [0,2pi)

Q: 256x The volume of a sphere is increasing at a rate of 3 cm³/sec. Find the rate of change of its…

A: The expression for the surface area of the sphere is:Where r is the radius of the sphere.The…

Q: 1 2 3 4 Identify the coordinates of the point in polar form based upon the given conditions. Use pi…

A: From the given graph

Q: Consider the following integral. √1 + 7x dx Find a substitution to rewrite the integrand as du. u¹/3…

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Q: Fill in the blank Thank you

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Q: Four Calculus II students have solved I sin sin(x) cos(x) dx. Their solutions are below. Use what…

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Q: k. y = ln x 1. m. y = y = 5 cos x + 8 lnx + 3x³ 3x¹+3x²+1 x

A: Given: y= ln(x)Solution: y= ln(x)Differentiating y with respect to x we have dydx= ddx(ln(x)) ⇒y′=1x

Q: Let y = f(x). Begin by finding the derivative of f(x) = -x³ + 6x² - 3. 3 F'(x) = (x³ + 6x² − 3) d dx…

A: The objective of the question is to find the second derivative of the function f(x) = -x^3 + 6x^2 -…

Q: Consider the function f that is continuous on the interval [-3, 3] and for which the following is…

A: Given that f is a continuous function on the interval  and To find:-(f is even) (f is odd)

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Q: The function y(x) saifies the following equation: Find an expression for dy dx 5 x² + 3xy +…

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Q: 1. Find the area bounded by x = y²; x = −2y² +3

A: To find the area bounded by

Q: (b) Use Desmos to graph the surface area function on the following coordinate system. Label each…

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Q: 15 x² 3x 54 (Round the answer to four decimal places.) Find the area bounded by y = X- -, x = 3, x4,…

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Q: Solve the following Initial Value Problem. dy dt - y= sec² (t) + 3 sin(t), y() = 1

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Q: Find the area of the shaded region. r = 4 + 3 sin(0) -5 y 5 -5 5 -X i

A: The region is bounded by the curve The given graph of the region

Q: (a) Find expressed as a function of t for the given the parametric equations: dy dx dy dx d²y dx²…

A: Given: To Find: (a) To find .(b) To find .

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

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Q: Suppose f(1) = 2, ƒ'(1) = 3, ƒ (2) = 1, ƒ'(2) = 4, and g(1) = 3,g'(1) = 5,g(2) = 1,g′(2) = 4. If…

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Q: Consider the triangle below (not drawn to scale). ہے a= a Let b = 9, ZC = 40° and /A = 45°. Find the…

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