What are the possible rational roots of the equation x + 6x2 11x + 6 = 0 A. -6, -3, -2, -1 C.+6, +3, +2, +1 B.-6, -3, -2, -1,+1, +2, +3, +6 D. 1. 1. 1. 1.1. 1. 1. 1 -6 -3 -2 -1 +6 +2 +3, +1

Q: Let p be an odd prime. Suppose p5 mod 8. Show p-1 p? – 1 mod 2. 5

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

A: Given differential equation is dy - 2x1-y2dx = 0

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Q: Q5/ Use Linear Regression to fit the following data: 2 10 1 4 5 6 Y 4 10 9 3

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

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

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

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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: Q1/ Estimate f (1.72) from the given data using Newton's Backward Difference Formula: 1.7 1.8 1.9 2…

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

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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: True / False (no work needed): Approximating the integral x* – 5x² +x dx with Composite Simpson's…

A: TRUE , because error in the Simpson's 1/3 rule us of order h4.

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A: Here we can use the fact that the velocity is the instantaneous rate of change of distance. That…

Q: If A is 3 x 3 matrix such that (A + I3)² = 0 Show that: A is invertible.

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Q: Fine the 17th,19th and 21st terms of the Fibonacci sequence using this formula fn=fn-1+fn-2

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Q: Q Use Newton methad to find f(s), f'ca) 9. 8. to 8. 10

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Q: Q: find area inside r=2cose and outside r = 1? %3D

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

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Q: Q18: Select the incorrect step while evaluating J x2-7x+10 dx. x-8 I: Let I = S- dx = S dx - S dx…

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Q: 1- x dx y =

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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: 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) Evaluate the integral S dy dx using polar coordinate

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Q: Qi oraw Bhe fmelion y=メッリ

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Q: Q3: Use the Bisection method to find the smallest root of the function: f(x)=1-3X+0.5Xe* with…

A: Follow the python script.

Q: he function f(x) = e – 1 is to be solved using lewton-Raphson method. If the initial value of o is…

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

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Q: Let the characteristic equation of a 3 X 3 Matrix A be X3 + ad² + 47) – eigenvalue of A is 4 and a…

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

A: Follow the steps.

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

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Q: 2. Use Stokes' Theorem to evaluate ſ. V × F·n dS where F(x, y, z) = and C is the part of the sphere…

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Q: Q3) Evaluate triple integral S" dz dy dx. x-y

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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: b) Given f (x)= In x x>0. Use differentiation to find the value of f'(x) at x= 2. Give your answer…

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Q: Aーy? QI) Evaluate the integral dx dy using polar coordinate

A: To find integral using polar coordinate .

Q: Use the Lagrange multiplier method to find the point on the surface z zy to the origin. O A. (3,3,1)…

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Q: matrix with eigen satisfies 11 A - 61 = 0

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

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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: 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: Q4/ solve the equation by Newton-Raphson Method: F(x) = x* - 5x + 65 , start at x =2, accuracy 0.001

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Q: There are x pink straws, 10 yellow straws, and X + 2 green straws in a bag. A straw is selected at…

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Q: |I+ sin? 0 2. Cos? 0 4 Sin 20 Sin?0 一t Cos 0 · 4 Sin 20 %3D Sin 20 Cos20 I tA sin 20 KIKY

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Q: The value of Ss (x + z) dy dz + (y + z) dx dz + (x + y) dx dy, Where 's' is the surface of sphere…

A: Here we can use divergence theorem to find the value of the given surface integral. Divergence…

Q: Let f be the function defined by f (x) = cos(/x). OS sin() (c) It is known that f' (x) = cos() and…

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Q: Q3) Evaluate triple integral S, y(x2 - y²)dz dx dy.

A: To Evaluate: ∫01∫y1∫-y2x2x2-y2dz dx dy