-- Determine whether the geometric (-1) "3" 80 series is convergent or divergent, and if n=1 7" it is convergent, then find its sum.

Q: Let P denote the plane in R3 containing the points (1, 2, 0), (3, 4, 1), and (−1, −2, 1). (a)  Find…

A: Given that P denote the plane in R3 containing the points (1,2,0) , (3,4,1) and (-1,-2,1) .

Q: Consider the given: х3 — 4х2 x(х + 8)(х — 2) (x + 2)3 8(7x – 4) f(x) = ;f"(x) (x + 2)2 i f (x) : (x…

A: The given functions and their derivatives are: f(x)=x3-4x2(x+2)2=x2(x-4)(x+2)2,…

Q: Justify your answer whether the following functions are continuous or not at a certain point or…

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Q: Justify your answer whether the following functions are continuous or not at a certain point or…

A: Since you have posted multipart questions i can do first three subparts as per our company…

Q: 3. A curve has parametric equations r = sin(3t) and y = cos(t) where t takes all real %3D values. dy…

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Q: Use the method of cylindrical shells to find the volume V generated by rotating the region bounded…

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Q: Test the series for convergence or divergence using the Alternating Series Test. 1 1 1 - In(2) In(3)…

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Q: 3-8 (a) Sketch the plane curve with the given vector equation. (b) Find r'(t). (c) Sketch the…

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Q: The sum of two positive numbers is 40. What are the numbers if their product is to be the largest. A…

A: let the two numbers be "x" and "y "x+y=40 → (1)F(x,y) = xyF(x)= x(40-x)F(x)=40x-x2differentiate…

Q: Find the the fo Howing differen equation general integration of tial xy'-y =xy? | %1

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Q: — т3 + 3х2 — 2х — 1. + 3x2 %3D

A: answer is in next step

Q: If f is a function and not necessarily a position function, then we can interpret AVa,a+h] as the…

A: This is a problem related to average and instantaneous rate of change of the function. Based on the…

Q: a) Determine if the geometric series below is convergent or not. 107 -1 Σ n=1 3n +1 The series is…

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Q: Given z1 = 2 - 3i, z2 = 1 - i, z3 = 3 + i; find the following a) z1 ÷ z2 ; b) Z2 Zı ; c) z1? ; d) z2…

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Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Maximize…

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Q: Item 1. Consider the given: x³ – 4x2 8(7x – 4) (x + 2)4 х(х + 8)(х — 2) f(x) = (x + 2)2 . (x + 2)2…

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Q: (1+ a²). dy + xy = 0 dx

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Q: SI sin(x) dydx. valuate the integral, show work.

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Q: 1.92 Referring to the definition in Exercise 1.91, answer the following questions. a) Prove that…

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Q: Determine whether the series is convergent or divergent. 1 1 + 4 + + ... 9. 16 25 Divergent…

A: 1) The given series is 1+1/4 +1/9 +1/16+ 1/25 +.....

Q: (a) Find an equation of the tangent plane to the surface at the given point. x² + y2 + z? = 33, (1,…

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Q: Given: 3a – 6x + 2y + 8y- 1= 0. Identify the conic and give its foci.

A: Follow the procedure given below.

Q: Problem 3. Which gives the inverse transforms of the given s-domain function?…

A: Given problem:-

Q: 1. Find the antiderivative of sin '(2.r)d.r.

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Given the power series 2 (-1)" x" n = 0 Find the Integral of the Power Series. 00 A 2 (-1)" x" | dx…

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Q: Find length of the curve described by the parametric equations x = T sin t, y = r cost, e <t< T. А.…

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Q: 1. A function g is defined as 22 if a 1' g(x) Is it possible to find a value of the constant k that…

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Q: Find the radius of convergence, R, of the series. n8" n = 1

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Q: Use implicit differentiation to find an equation of the tangent line to the graph of the equation at…

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Q: 1. Use Green's Theorem to find the counterclockwise circulation and outward flux for the given filed…

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Q: 1 00 7) Ln=2 (In n)" n%=2

A: Note: “Since you have asked multiple question, we will solve the first question for you. To get…

Q: If a derivative of a function is constant, the function is: O First Degree Exponential O Logarithmic…

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Q: Find the possible value for each of the constants a andb that will make the function f(x) continuous…

A: A function is said to be continuous at x=a iff limx→a-f(x)=limx→af(x)=limx→a+f(x)

Q: Let R= [0,2]×[0,2]. The integral || xedA = e2 -3 R. Select one: O True False

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Q: y=ln|sec3x + tan3x|

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Q: Use the Ratio Test to determine if the following series converges absolutely or diverges. 00 2-1)nn…

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Q: The average value of the function y = 10 x In(4 x) on the interval [3,7] is О 50.05 O 152.14 O…

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Q: 5 s2+ 3 s2 –8

A: Let's find.

Q: 49 2s2 +16 121

A: This is a problem related to inverse laplace transform. Based on the general formula we will answer…

Q: Find the indefinite integral by the substitution method or state that it cannot be found by our…

A: Given Problem:- Find the indefinite integral by the substitution method or state that it cannot be…

Q: C. Solve the following problem. 1.) Find (fg)' if f(4) = 3, f'(4) = 2 , g(4) = -6, and g'(4) = 8.…

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Q: +00 (-1)" The Maclaurin series expansion of tan-1I is given by tan¬ I = (2n + 1) 2n+1 for r €…

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Q: Determine the area bounded by the equation given.

A: This question can be solved using the concept of area under curves.

Q: Find the taylor series being centered at the given values of a (use the known n series) f(x) =…

A: To find the taylor series being centered at the given value of 'a'.fx=x-35-xa=3

Q: Given the power series 00 (x - 2)" n = 0 n5 Find the "Radius of Convergence" for the series. A L = 1…

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Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers…

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Q: can you hand write please

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Q: Identify whether the following functions are continuous or not. Write your solutions on a separate…

A: Find your answer below

Q: Given the power series 2 (-1)" x" n = 0 Find the Derivative of the Power Series. x (n + 1) d A 2…

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Q: Let g(x) 8 In(t) dt. Use the Fundamental Theorem of Calculus tc g'(x) =

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