Is the series convergent or divergent? Explain in minimum of two sentences. +oo Σ n2 – 1 Un n=1 n2 + 1 where Sn = ui + ... + Un =

Q: A roasted turkey is taken from an oven when its temperature has reached 183° Fahrenheit and is place...

A: Equation of the temperature is given , T = 65 + (183-65)e-0.275t  

Q: dy 7. dx cos(x + y), when x = 0,y =

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A: topic- application of derivatives

Q: Is the sequence divergent or convergent? Explain and give the solution of the answer.

A: This is a problem related to sequences. Based on the general formula we will identify the nature of ...

Q: Test for convergence or divergence, using one of the tests listed below. n(n + 2) O converges O dive...

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Q: QUESTION 2 Use factoring to solve the equation. Show your work on a separate paper. 3x2+25x -42

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Q: Determine whether the integral is convergent or divergent. If it is convergent, evaluate it. (If the...

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Q: A small funnel in the shape of a cone is being emptied of fluid at the rate of 13 cubic centimeters ...

A: topic - application of derivatives

Q: The profit for a product is given by P (x)=- 14x²+ 1400x – 33,600- where x is the number of units pr...

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Q: Consider the equation y' + 5y = 2. Show that the function o given by: %3D 2 $(x) is a solution, wher...

A: Given y'+5y=2 We have to find ∅x

Q: The position of a particle moving along a coordinate line is s=sqrt19+6t​, with s in meters and t in...

A: Given; st=19+6t   As we know that; The Power law; ddxxn=nxn-1 The Chain rule; fgx'=f'gx·g'x

Q: transformations

A: Please refer to the image below

Q: Let U be the set of integers. Let A = {3,6}, B = {3, 8, 10, 12} and C = {6,8,10}. Perform the indica...

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Q: Use sigma notation to write the Taylor series about x = 8 for the function. 1 x +5 Σ k =

A: Taylor series of f(x) centered at x=a :           f(x) = ∑n=0∞ fn(a)n!(x-a)n = f(a)=f'(a)(x-a)+f''(a...

Q: Determine the interval of convergence of n2 +1

A: Given problem:-

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Q: If A is a positive definite matrix and B is positive semi-definite, show that trace (AB) 2 0 with eq...

A: A is positive definite means A has inverse

Q: n cos“(n) 2+ n3 Determine if the series converges or diverges and choose the option that describes t...

A: Using Dirichlet test.  According to guidelines we solve only first question. 

Q: Is the graph of the function below symmetric about the x-axis, the y-axis, or neither? Select all th...

A: We can find the correct answer as below.

Q: Given z= Find z, zy.

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Q: Solve the following differential equation:  xdx+ydy=(x2+y2)dx (2x2+y)dx+(x2y-x)dy=0 (xy2+x2)dy+ydx=...

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the remain...

Q: The derivative of the function y = xe(5+sec(2x)) is: y' [1+ 2x sec(2x) tan(2x)Je(*ece(2x) y' [1+x se...

A: We will find the derivative of the given function. 

Q: -lo I3+ 5 %3D dt

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Q: w = xysin(z*), x= s-t, y = s², z=t². Use the Chain Rule to find

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Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence converges...

A: Solution is written in below steps.

Q: Date... anam Q. Find the Fouries Series of d sx) = -X-

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Q: Given R(t) = 4 cos ti + (1+ 3cost)) + 5sintk. Find R'(t).

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Q: 1. The Average Rate of Change ("ARC") to. Given that f(x) = -2x² +4, what is the ARC: 1) From 0 to 2...

A: Authoring guidelines: As per the authoring guidelines, we can solve only the first question. Please ...

Q: Use the ratio test for absolute conve 00 5k k=1 If p = + 0, enter "inty". p = i The test is inconclu...

A: series

Q: 6 36 36-y Top: y +z 36 Here is the region of integration of the integral dz dy dx. Rewrite the integ...

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Q: Math114 Logic and Set Theory Worksheet #4 4. Let U be the set of integers. Let A = {3,6}, B = {3, 8,...

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Q: Find the volume of the solid obtained by rotating the region under the graph of the function f(x) = ...

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Q: (22 +y +1)dz - (zy+y)dy = 0 %3D

A: Follow the procedure given below.

Q: Is the series convergent or divergent? Justify the answer {Vn – Vn + 1}

A: The solution is given in the next step.

Q: B) solve the to olloWiH 1 1. find (f0 g) if f(x) = 1+x2 and g 3-x 2. find domain and range x2 +2 %3D...

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Q: Solve the following differential equation. Show complete details of your solution.

A: The objective is to solve the differential equation and show complete details of the solution.

Q: x²+12x+20 a) lim ´x→-2 4x²+5x-6

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Q: QUESTION 10 Suppose the graph of f(x) =r2 is reflected across the x-axis and shifted to the left 6 u...

A: Given:  f(x) = x2 

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Q: Prove the identity. cosh(-x) = cosh(x) (This shows that cosh is an even function.)

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Q: dy Q3) A) find dx 1+x. 1. у %3 coth У 3 = coth=1(-) 1-x 2. y = cot-12+ tan¬1 -1x %3D

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Q: Given R(t) =4 cos ti +(1+ 3cost)j + 5sintk. Find T(t). T(t) = sin ti -sintj + costk T(e) = sin ti -s...

A: Given :- Vector R(t) = 4 cos(t)i +(1+3 cos(t)) j +5 sin(t) k To find:- Tangent Vector T(t) 

Q: ght?

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Q: QSolve using trigonometric substitution: dx 2.

A: NOTE: As per our guidelines, I have solved the first problem in the picture. If you want the answers...

Q: (2v² + 4u²v)du + (4uv + 3u³)dv = 0

A: This question is related to differential equation.

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Q: rectangular prism with dimensions 6 m x 4 m x 8 m (l x w x h) is shrinking. 8 m 4 m 6 m nswer the fo...

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Q: 9. k(x) = 3(x- 1)-

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: yi+ yž = 1, when x = 0, y = 4 %3D %3D

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