To find: the whether the given telescopic series converges or not by finding the limit of the sum of the first n - terms. E, k0.1 (k + 1)®. | k=1

Q: Find plane area inside polar function r 2 and outside polar function r= -2sint in thisd quurter.

A:

Q: Q4) Find plane area inside the polar function r 2 and outside polar function r = -2cose in second…

A: Solution

Q: One letter of the name "EXTRA" is selected at random. Find the probability that the letter selected…

A:

Q: 1) y" – 10y' + 25y = 8e- y(0) = 1, y'(0) = -4;

A: Follow the steps.

Q: O Prove that Q(Vational number bers)is negrigibleset 2show thet (ir rational numbers ithat…

A:

Q: 1.: Reword the statement below as a theorem about graphs and then prove it. Assume that if A is a…

A:

Q: divergent? (1+x)-3=1-3x+6x2-10x3........ explain your answer

A:

Q: Use a power series to solve the differential equation : (1+ a?)y" – 4 a y' + 6y = 0

A: Given DE is  (1+x2)y"-4xy'+6y=0......(1) , by using power series solution.

Q: Find plane area inside the polar function r = 2 and outside polar function r = 2 sin ( + 0) in…

A: Area using polar coordinates is given by A=∫∫A r dr dθ

Q: [a, b, c If Aj = [di e, fi] [a, b2 c2 A2 = [d2 e2 a3 bz c3 Az = [d3 ez f3] and are any 2 x 3…

A:

Q: Q3/ Solve the following equation by (Finite Difference Method), choose (h= 0.5) +2y 3 ,y (0) = 0,…

A:

Q: There are six P20 peso-bills, one P50 peso- bill, and three P100 peso-bills in a wallet. If a peso…

A: Follow the steps.

Q: Q10: Following are the differential equations and their respective solutions. Select the incorrect…

A: We have to check whether the given solution is solution of actual differential equation or not.

Q: Q1) Evaluate the following integral using Partial Fractions Method: x3 + x2 dx x2 + x – 2

A: Indefinite integral

Q: 3. Compute the product M()M() as a 2 x 2 matrix. What kind of isometry is this product? If it is a…

A:

Q: Q5) Find volume of body bounded by z = 0 from below and z = 4- y from above inside y x2,y 4.

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Q: mplex numbers are 5 + 5/3i) and z2

A:

Q: Find the length of the curve c(t) defined by c(t) = (-4 cos (t), –4 sin (t), t) if 0 < t< 2n and…

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Q: Q4/ solve the equation by Newton -Raphson Method: F(x) = x* - 5x + 65 , start at x =2, accuracy…

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Q: Q3. Tangents are drawn from 0(0,0) to the circle x2 + y? – 2x + 4y + 1 = 0, touching the circle at L…

A:

Q: If two complex numbers are (*+) 21 5 + 5/3i) and z2 = + 2i 21 then radian value of the argument of…

A:

Q: Consider the solid bounded by the planes: z=x+y, z=12, x=0, y%=0. Determine the volume of the solid.…

A: Volume bounded by the region

Q: 3. Find the area of the surface cut from the nose of the paraboloid x = 1-y²-z2 by the yz-plane. Do…

A: Surface area in yz-plane

Q: Q4) Find plane area inside polar function r 2 and outside polar function r= -2sine in third quarter.

A:

Q: Solve the following equation by (Finite Difference Method), choose (h= 0.5) d?y + 2y = 3 ,y (0) = 0,…

A:

Q: Solve: (dy/dx) = [(5y - 2x) /(4x – y )] %3D

A:

Q: Evaluate the following integral using Partial Fractions Method: x3 + x2 y = dx х2 + х — 2

A: In the method of partial fraction, first we find partial fraction of the integrand and then…

Q: 3+ V9 – 4(3 – i) 21 3+ V4i – 3 - 2 How do you solve for the equation above ? 2.

A:

Q: A letter is first chosen at random from the word SAMPLE, and then the next letter is chosen at…

A:

Q: 1. For the system below, solve using Jacobi, Gauss-Seidel and SOR (@=1.5) methods with error of…

A:

Q: c) By using De Moivre's theorem, find (3/5 – 3i) in the standard form.

A: To find complex no. in standard form using De Moivre's theorem .

Q: Pe/ Use fixed-point method to ind the real root of equation 3. X°=6X_4 on the interval Co,)). put Xo…

A:

Q: Q4) Find plane area inside the polar function r = 2sin E-0) and outside = sin (-0) in first quarter.

A:

Q: [a, b, ci] If A, = [d, e fi] [a2 b, c2] A2 [d2 e2 ] [az bz c3 Az = [d3 ez f3] and are any 2 x 3…

A:

Q: Continue the two sequences of numbers below and find an equation to each of the sequences 1 2 3 4 5…

A: 1. In first. 1+1=2 2+3=5 5+4=9 9+5=14 14+6=20 20+7=27 Hence the eqution is  an=an-1+n

Q: Consider the solid bounded by the planes: z=x+y, z=12, x=0, y=0. Determine the volume of the solid.…

A:

Q: ROUND 2655 TO THE NEAREST TENS

A: Given number: 2655 Concept: When we round to the nearest tens, we shall observe the number at unit…

Q: Solve the following IVPS using LT method. y' – 4y = 8u(t – 3), y(0) = 2;

A:

Q: Prove that the series diverges at x = 3 (Limit Comparison Test) Prove that the series converges at x…

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Q: Q4) Find plane area inside polar function r = 2 and outside polar function r = -2sine in third…

A:

Q: 3. [MO31] Find the Fourier series of, - 2<x< -1 - 1< x<1 1< x< 2 f (x) = -2 to

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Q: 4-y² QI) Evaluate the integral * dx dy using polar coordinate

A:

Q: If T : R? → R² is a linear transformation such that 7 (1) - 5 34 6 30 T and T 21 then the standard…

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Q: e2z dz, wher (z+1)“ prigin, Iz| = 3.

A:

Q: Date Q Use Least Square Regrissi methed to describe the relation (methed no 1) br between X and Y…

A: The given data is, x 7 3 5 8 9 5 4 2 8 6 9 y 5 7 8 1 3 4 0 6 7 4 2 To find the relation…

Q: A man borrowed 24000 from two money lenders. For one loan he paid 15% annum and for the other 18%…

A: Let x be the amound borrowed on 15% and (24000-x) at 18% Given taht total interest paid is Rs 4050

Q: There are 34 juniors and 45 seniors in the auditorium. After x juniors and x+5 seniors left the…

A: We want to find value of x.

Q: Q3) Evaluate triple integral f, dz dy dx.

A:

Q: Give an example of each of the following: • A function f e L²(T) and a point where f(x) does not…

A:

Q: 9. Determine all maximizers and minimizers of the function 1 f(x1, x2, 13) = af + x3 + x subject to…

A: determine all maximizers and minimizers of the function fx1 , x2 , x3=1x12+x22+x32…