3. For each of the following entities, say whether it is a member of P(N), and explain why or why not. (a) 5 (b) {5} (c) {3, 100, 365} (d) {{3}, {100, 365}, {1000, 2000, 2001}} f the following two tynes:

Q: Let the characteristic equation of a 3 X 3 Matrix A be X3 + aX? + 47A eigenvalue of A is 4 and a is…

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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: dy at the point (0,1) given the curve dx 1-y =x. Find the value of 1+y

A: The given curve is                                    1-y1+y=x and in the given problem we have to…

Q: USING NEW Ton RAPHSON THE VALUE DELE RMINE 1o 0.04 ACCURATE 0.800. ME THOD DF NEAR 10 4. DECIMAL to…

A: Calculate the first derivative of y.

Q: If u = x3 + y3 where x = a cos t, y = b sin t, then %3D du dt

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

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Q: Q2) Solve the D.E x²dy + (3xy – 1)dx = 0 %3D -

A: Given differential equation is x2dy + (3xy-1)dx = 0

Q: Three coins are tossed, what is the probability of the showing at least one tail? Your answer

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Q: 1 (i) Find the unit vector having the same direction as B – 2A+÷C. (ii) Draw the vector you obtained…

A: We have given three vectors A, B and C .

Q: 3. (a) Show that the power series * does not converge uniformly for |2| < 1. k=1 (b) Show that the…

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Q: QI) Evaluate the integral dx dy using polar coordinate

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Q: (1+x)-3=1-3x+6x2-10x3........ Is this series convergent or divergent? Simply explain why

A: We have to check whether given series is convergent or divergent.

Q: Problem 2. Forward elimination changes Ar=b to a row reduced Rx= d. Suppose that the complete…

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Q: Consider the parametric curve defined by x=3+5t and y=1+3t Over which values of , does the curve has…

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

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Q: Problem: Chris left his home at past 3 o'clock PM as indicated in his wall clock. Between two to…

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Q: If A is a 3 x 3 real matrix with eigen values 1, 2, 3, then the matrix A satisfies 1. A³ – 6A²+11 A…

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Q: Give the parametric and symmetric equations of the line that passes through the point (5,−1,3) and…

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Q: 5. Find the radius of convergence for (a) (b) Č (1 +) n2 + 5n + 3i" z" (c) an 2n + 1 n-0

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Q: 1-4, apply the Jacobi method to the given system of In linear equations, using the initial…

A: As per our guidelines we are supposed to answer only one ques .  Ques 1 : 3x1 - x2 = 2 x1+4x2 = 5…

Q: Q2) Solve the D.E dy – (2x/1– y²)dx = 0

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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: Q: Solve by iteration methods the following 2X + Y+ 6z= 9 8X + 3Y + 2Z= 13 X + 5Y + Z= 7 X=2 Y=4…

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Q: DO NOT include spaces in between characters. And, DO NOT include dy/dx in your answer. dy by…

A: Given equation is xy + x + y = 2

Q: Q4) Find plane area inside the polar function r = 2 and outside polar function r = 2 sin ( + 0) in…

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Q: dz + (y + z) dx dz surface of sphere

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Q: Q5/ Use Linear Regression to fit the following data: 2 4 5 6. Y 4 9 10 10 8

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

A: Q2)

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

A: We have to find volume of region.

Q: A card is drawn from a deck of 52 playing cards. a) Find the odds in favor of drawing a face card or…

A: A card is drawn from a deck of 52 cards :-  Now to find the following .

Q: Q38: If y = e2* sin 5x, then which of the following is true? e (a) y" – 4y' + 30y = 0+ - (b) y" –…

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Q: If n(A U B) = 20, n(A N B) = 3, and n(B) = 13 , what is n(A) ? Your answer

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Q: A chance of 75 out of 100 0.5 0.01 0.1 0.75 0.25 O 1

A: To find: A chance of 75 out of 100

Q: Solve the following equations transformable to quadratic equations. A. 1. 1 -+-= x 11 2. 2 x+1 4 2…

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

Q: Q1) Evaluate the integral dx dy using polar coordinate

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Q: Q5) Find volume of body bounded by z = -y? from below and z = x? from above inside y = 0,y = x,x 1.

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Q: Q1/ Estimate f (1.72) from the given data using Newton's Backward Difference Formula: 1.9 0.397…

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Q: Q1) Evaluate the integral S dy dx using polar coordinate

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

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Q: Identify whether the following improper integral converges or diverges. If it converges, find its…

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Q: Problem 2. Forward elimination changes Ar=6 to a row reduced Rx = d. Suppose that the complete…

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Q: Q1) Evaluate the integral S S dy dx using polar coordinate

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Q: [15 6 If F = |7 1 3,G = |4 0 6 [5 4 3 -7 and H = |2 1 7 4 5 1 2 5 6. ,find 2 GH HF

A: We want to find the matrices GH and HF

Q: A continuous random variable X has the distribution function F(x) = 0 if x 3 The value of k is

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

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Q: Q2/ Fit a second - order polynomial to the data in the following table: 5 1 4 2 Y 2 3 4 -1 4 6. 6 00

A: Solution

Q: Q4) Find plane area inside the polar function r = 2 and outside polar function r = 2 sin 2 + 0) in…

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Q: Is the following series convergent or divergent? Explain your answer. (1+x)-3 = 1-3x+6x2- 10x3…

A: The nth term of the sequence is given as follows:

Q: Ql: Find the integration of : (, 1. S cos (3 sin x)cos (4 sin x). cosxdx 2. J Tanx sec*x dx 3. 6…

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

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