Determine the interval of convergence of n2 +1

Q: 4. 3x2 dx + dy x3 - 8(y + 1) = 0 %3D y+1

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Q: ind the derivative of the 1. y x cos x

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Q: If two forces of 5 lb. and 8 lb. acting at the same point are equivalent to a single force of 10 lb....

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Q: 2. (s-s?- t?)ds + (t + s² +t ?)dt = 0 %3D

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Q: A rectangle of maximum perimeter is to be inscribed in the ellipse x^2/20^2 +y^2/11^2=1. The rectang...

A: Explained below

Q: Use the shell method to find the volume of the solid generated by revolving the region bounded by y ...

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Q: cone is being emptied of fluid at the rate of 14 cubic centimeters per second. The height of the fun...

A: small funnel in the shape of a cone is being emptied of fluid at the rate of 14 cubic centimeters pe...

Q: 3. Find the equation of the tangent line at point P(2,1) to the graph of the curve f(x) = V3x – 5

A: since you have posted multiple question in this question which are not interlinked so i have solved ...

Q: Write the exponential equation - 10y in logarithmic form. QUESTION 17 5х — 1 Rewrite the expression ...

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

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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: find the difference quotient for: f(x)=5x - 2x2

A: The formula of difference quotient is given by  D=f(x+h)-f(x)h

Q: 3. Use g(x)=e* (x-a) and g'(x) =-2e (x-a)(x-ax-1) to answer the questions. a) Find lim g(x) and lim ...

A: This question is based on Finding limits using L hospitals rule.

Q: (교2 + y? + 1) dz- (2y + y)dy = 0

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Q: (w - 3x +3)dw + ( 3w + x + 9)dx=0

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Q: Find the value of xg in 3 decimal places (positive root) using Secant Method (8th Iteration) f(x) %3...

A: Let's find. 

Q: Find a formula for the general term a, of the sequence, assuming that the pattern of the first few t...

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Q: dy d) dx cos(x + y),when x = 0, y = | 4

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Q: QUESTION 15 At the end of an advertising campaign, weekly sales declined according to the equation-s...

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Q: Determine the number of ways of selecting one or more letters from the letters ZZzzzzZ?

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Q: * = cos(x + y), when x = 0,y = %3D dx

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Q: At what latitudes is the Moon always above the horizon when the Moon is minimum and maximum elongati...

A: In this question we have to find the position of moon with respect to equator line.

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: a. Find a power function that models the data below. b. Find a linear function that models the data....

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Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges. I...

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. ...

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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: Convert the Cartesian coordinate (– 5, 2) to polar coordinates, – 27 0. No decimal entries and answ...

A: The given point -5,2

Q: Evaluate f"(7) if f(x)= /2+ COS X . (Ans: )

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Q: x²+12x+20 a) lim ´x→-2 4x²+5x-6

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Q: b. Use your calculator's TRACE function to estimate the x-values of any vertical asymptotes.

A: using trace function we have drawn the graph of the function. 

Q: ng If C(t) = 65t e -0.1t measures the concentration, in of a drug in a person's system t hours after...

A: Given Concetration of drug C(t)=65te-0.1t  

Q: Edy 6. y24+ yi = 1, when x = 0, y = 4 dx

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Q: Is the series convergent or divergent? Justify the answer

A: Follow the procedure given below.

Q: Find the derivative of  (x + 1)³ / x

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Q: visitor is staying in a tent that is 10 miles west of the closest point on a shoreline to a coral re...

A: Given query is to find the respective distance of running and swimming to minimize the time.

Q: a) lim f(x) y b) lim f(x) 8 c) lim f(x) d) lim f(x) e) lim f(x) 2 ) lim f(x) -10 -8 -6 -2 0 2 -2 00 ...

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Q: B) prove du d 1. sec u = secu tan u %3D dx dx

A: Since the student has posted multiple questions and does not mention any specific question, so we ar...

Q: 2. for the augmanted matrix

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Q: Consider the infinite series> Vn +4 which we compare to the improper integral dx. Vx +4 Part 1: Eval...

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Q: 2x+3 (1) Find the domain of the function H(x) = x' - 4x (2) Solve the following (i) |10–3x|517 (ii) ...

A: Topic = Functions

Q: Use the Ratio Test to determine the convergence or divergence of the series. If the Ratio Test is in...

A: First I have written Ratio test, then use it to the given series and find that series CONVERGES.

Q: Sx? cosx dx

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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: dy cos(x + y), when x = 0,y = %3D dx 4

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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: Use the disk/washer method to set up a definite integral (set up only, do not evaluate the integral)...

A: Given problem:- Use the disk/washer method to set up a definite integral (set up only, do not evalua...

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: dP VPt. P(1) = 2 dt %3D

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