Find the radius of convergence and interval of convergence of the series. (r+8)" R = I = ?v

Q: n² 2n-1 (-5)" n=]

A: Note :- These are multiple questions and according to our company guideline we can do maximum 1…

Q: Exercise 195 Further problems on Leibniz's theorem 5. Find an expression for y(4) if y =e'sin t.

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Q: Problem 3: Evaluate the integral using the composite Simpson's 1/3 rule with the indicated number of…

A: See this solution in below

Q: 7. (a) y(4) when y= 2ln 30 (b) y() ; In 2t when y = 3

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Q: wen F(x) below, find F'(x). F(x) = dt I+8 rovide your answer below: F(x)-D I FEEDBACK MORE INSTRUCTI

A: Topic:- function And it's integration

Q: 6. Show that when a hole of radius a is bored through the center of the sphere of radius b, the…

A: here volume of sphere = 4πb3/3 hole volume = 4πa3/3   left volume  =4πb3/3 - 4πa3/3 left volume =…

Q: L(sin 2t cos 2t)

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Q: A ladder of length 15 meters is leaning against the side of a building. The foot of the ladder is…

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Q: sec(2) tan(z) – 1 dz 1 dz

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Q: 5. (a) Let z = (a+ ai)(b+ bv3i) where a and b are positive real numbers. Without using a calculator,…

A: See the answer below

Q: 4. Which of the following is the maximum value or the minimum value of the graph of polynomial…

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Q: Evaluate the integral Se*dx

A: We can solve this as follows:

Q: Find the laplace transform of the following: a.) f(t) = t3 - t2 + 5t + 2 b.) f(t) = cos25t c.)…

A: We know that L{tn} = n!sn+1        and          L{sin at} = as2+a2        and       L{cos at} =…

Q: 6. If y = x In 2x find y(3).

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Q: ди and az ди ди Find дх ду (whenever possible) for the following functions. 1) u = 3x²y + xlny² –…

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Q: Number

A: Please refer to the image below

Q: f(x) = 2x2 +1

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Q: Experimental data on the nitrogen content of soil samples taken from a field used for vegetation was…

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Q: ACTIVITY 2.Solve the given below. Show your complete and exact solution. 5. Given the function f(x)…

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Q: Find the 23rd derivative of y = -sinx Select one:

A: We have to find 23rd derivatives of y=-sinx

Q: 2. Find the equation of the normal line to the graph of y = x²(1+ In.x) at x = e. Write your answer…

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Q: 2X + 2 ) dx 3. 2X 6 + 2e

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Q: Using Wallis formula, find the integral of the expression. Answer in 5 decimal places (example…

A: We have to solve given integration with the help of wallis formula.

Q: In point P(-6,-8,8), express that vector that extends from P to Q(8, 6, -1) in: a. rectangular…

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Q: 2. (sec 5x t Csc 5x) dx

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Q: Where on the curve of 1 does the tangent have the greatest positive slope? y = 1+ x? O 1) 3 3 O 2) 3…

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Q: | In (x²- 2x-8) dx 5. ら

A: Explanation of the answer is as follows

Q: (3x-2) dx x²+ 2x + 15

A: the given problem is solved below in detail.

Q: 4. General solution of (y2 + xy) dx – x² dy = 0 %3D

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Q: 09. lim, " -т(csc Tх) (Inx)| x)(Inx)]

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 1) Find a power series representation for the function and determine the interval of…

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Q: Solve sin (t) = - 8 cos (t) for all solutions 0 St< 2n t = Give your answers accurate to 2 decimal…

A: See this solution in below

Q: find area between line y=-2+x and y=x^(1/2) and x-axis

A: We have to find the area.

Q: Use the Divergence Theorem to evaluate F N dS and find the outward flux of F through the surface of…

A: See is solution

Q: d³x d?x dx dt3 dt² dt (D3 – 2D? – 5D + 6)y = 0 ; when x = 0, y = 1, y' = -7, y" = -1 (4D5 – 23D3 –…

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Q: Determine the exact solution of the following differential equation y =2- y at y(0) -1. So the value…

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Q: Use the theorem of Leibniz in the following problems: If y=x³e2x find y(m) and hence y(3). julm) =…

A: Leibniz rule states that (f(x)⋅g(x))n=∑r=0n Cr nf(n−r)(x)⋅gr(x) Let fx=e2x and gx=x3

Q: Evaluate the given integrals. 1. ſ cos v2x dx 2. fx a*dx

A: Please see the answer below.

Q: ) Estimate the value of Csc (0. 2) using linear approximation and without using any kind of…

A: Given problem:- Estimate the value of csc(0.2) using linear approximation

Q: Exercise 195 Further problems on Leibniz's theorem 3. Determine the 4th derivative of: y = 2x'e*…

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Q: 2x° dx x2-4

A: ∫2x3x2-4dxSubstitute u=x2-4→dudx=2x→dx=12xdu=12∫u+4udu=4∫1udu+∫1du

Q: The velocity, in feet per second, of a running rodent is modeled by v(t) = 5√t − 2t. What is the…

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Q: Find the firsst derivative of y = arctan [ (3 sin x) / (4 + 5 cos x) ] and the first partial…

A: Given:       y=arctan3sinx4+5cosx First derivative:     dydx=ddxarctan3sinx4+5cosx…

Q: Consider the function f (x) = sec (e*). %3D o How many different functions are composed to get f…

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Q: 15. Find the width of the lake pictured below: 900 ft 800 ft 70°

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Q: 5. S 7x°csc²3x7 dx du = answer:

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Q: Q3: Find f(t) ( Inverse Laplace Transform )of the following functions s+1 2.F(s) = s4+s2

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Q: Two cars leave an intersection, one 17 minutes after the other. The first car, A, travels north at…

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Q: 3. Accumulate P2,500 at 5-% simple interest from November 6, 1988 to April 11, 1989. 12

A: Given :Principal = P2500Rate =535=285%Time : Nov 6, 1988 to April 11, 1989

Q: 2

A: Here we can see as t approaching to 12 , graph is approaching towards 150.