a) Is the series sin(n) is n³ + 3n2 – 7n + 1 n=1 absolutely convergent or divergent? justify your answers.

Q: Find the Taylor series generated by f at x = a. f(x) = x3 + 8x2 + 7x + 6, a = -2 O (x + 2)3 - 2(x +…

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Q: Evaluate xy dx + (x+y)dy along the curve y = 4x from (- 2,16) to (- 1,4). xy dx + (x+ y)dy =

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Q: メ+2LX X 2 X 3

A: Note that, according to Bartleby guidelines, we can answer only the first question in the case of…

Q: Julissa wants to find the measure of ZA in A ABC. Step 1: 11 = 7? + 9 - 2·9.7.co COS X Step 2: 121 =…

A: A detailed solution is given below

Q: Evaluate using a table of integration formulas. 5 dx 24) XV36 - x2 X-6 +C X +6 A) In +C B) In 12 6 -…

A: Solve the following

Q: Find the series' radius of convergence E (3x)n n=0 O1 00 O 3

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

Q: c) within the first octant, enclosed by x + 2y + 4z = 4. Evaluate following triple integral: Let E…

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Q: Find a formula for the general term a, {5, 8, 11, 14, 17, .} 5n + 3 On+3 O 3n + 2 O 2n + 3

A: We can answer the question as below

Q: 1 Given f(x) %3D (x + 1)(1 +2x)x3 Find f'(x).

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Q: nP 00 クの In=1 2+n3

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Q: To find the distance across a river, a surveyor choose points A and B, which are 224 yd apart on one…

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Q: (a) Use the Second Derivative Test to find the local extreme values of the function f(x) = (x³ +…

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Q: If the tangent line to y = f(x) at (4, -14) passes through the point (2, -32), find the value of f'…

A: Given that y=f(x) is  the tangent line at the point 4, -14. Let, the equation of the tangent line is…

Q: or Divergence applies to en +2 Σ n=1 n*+6

A: We have to choose the correct option from the given options according to the given information

Q: Calculate the left rectangle approximation of 3x- dx using five subintervals.

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Q: Lagrange Multipliers to solve the following: Maximize f(x, y, z) = 4x + 2y + z subject to a? + y +…

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Q: What is the quotient when 4 + 8i is divided by i3?

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Q: Évaluate the integral of 2xdx /(2x²+4) if the upperlimit is G and the lower limit is 3.

A: Given,             The integral of 2x/(2x2+4) dx if the upper limit is 9 and the lower limit is 3.

Q: In the year 1985, a house was valued at $104,000. By the year 2005, the value had appreciated to…

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Q: Identify whether the statement represents an exponential function. The value of a coin collection…

A: Rate of value increased=3.25Time=20 years

Q: 1. (3 - 14)3 =? (Put your result in polar form)

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Q: EXERCISE 3 1. Consider f(x, y) = 2x² – y² +3x – y and U is any unit vector in R?. Find the maximum…

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Q: -dx 1-3x4

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Q: dy 2 2 13x +3у - 4ху, then at the point (A) -4 %3D (B) 4 (C) -1 (D) dx 3 3 The inflection point of y…

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Q: Q/ Find the Surface area generated by revolving y = 1 – x² around the y- ? 0 <x <1 axis, where

A: This is a problem related to integration. Based on the general formula and concepts we will answer…

Q: G.2 SE25 Apply fimpsen's rule to find the valke of Sdx dividing into A equal parts. 4 -89521

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Q: Find the area of the regien bounded by the following curves y? = 3- x and y = -4x. %3D

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Q: point 50 meters closer to the building, the angle of elevation is 31°. Approximate the From a…

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Q: (a) Use the Second Derivative Test to find the local extreme values of the function f(x) = (x³ +…

A: Note:- These are multiple questions and according to our company guideline we can do maximum one…

Q: Question #9 C16: “Find the exact value of a definite integral by interpreting it as difference in…

A: We have to solve definite integral using area.

Q: Evauate (x²+9²) dxcky

A: Solution is given below:

Q: sin:

A: This question is based on Partial diffrentiation.

Q: Determine for which values of m the function ø (x) = e" is a solution to the given equation. d²y dy…

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Q: Which of the following triple integrals evaluates the volume of the ssolid that lies above the…

A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

Q: Consider the curve C of equation (x² - y + y?)2 = x² + y? . Among the indicated options, select the…

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Q: a is the value that will make the equation exact. Fincd 2a -a?. 2xy3- 3y - ( x tax²y² - 2ay) y'• O

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Q: Solve the system -8 6 dx dt -4 2 with the initial value 14 x(0) = x(t) =

A: Let's find.

Q: (b) Find a formula for the area of a cross-section of S in the plane perpendicular to the y-axis at…

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Q: What is the exact value of tan 14T if it exists? A. 13. B. 13 3 G. P. Undefined

A: The given expression,        tan-14π3

Q: Find the sum of the series. n=1

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Q: What are intervals of concavity of the function f(x) = -2x + 6x² – 3 ? %3D

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Q: Sketch the graph of a function f with domain [1, 5] satisfying all the following conditions: •…

A: This question can be solved by the concept of nature of graphs.

Q: Let f: R->R be a continuous function that is convex on (-∞), 0] and [0, ∞)) and has a local maximum…

A: We have to show that function f is not differentiable at the point 0.

Q: 1. Evaluate the following integrals. 3r5 (a) / dr V2 – x3 2" + e2" sin(2") sin(2=) dx 2x +3 (c) / dx…

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Q: seParable 5い / / とll y=2メJタ! 4 xx

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Q: EXAMPLE 4 Solving an Equation (Complex Roots) Find all complex number solutions of x' –1=0. Graph…

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Q: olve the equation x y² dy = (5 x³ + y³) dx using Homogeneous method.

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Q: Find the volumes of the solids generated by revolving the regions bounded by the graphs of the giveN…

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Q: A chemical reaction produces hydrogen so that at time t (in seconds) the total volume of hydrogren…

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Q: Suppose Im(f(z)) = 6x(2y -1) and f(0)= 3 -2i, f(1) = 6- 5i. Find f(1 + i)

A: Complex function