Q38: If y = e2* sin 5x, then which of the following is true? e (a) y" – 4y' + 30y = 0+ - (b) y" – 4y' + 30y = 1 (c) y" – 4y' + 30y = 2y (d) y" – 4y' + 30y = ye

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

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Q: (x – 2)² – In x = 0, [1,2]

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Q: 1. 3x, - x = 2 *+ 4x, = 5

A: As per Bartleby guidelines we're supported to answer only first one question when multiple questions…

Q: Given: A = {1, 2, 3, 4, 5, 6}, B = {2, 4, 5, 6}, and C = {1, 6, 7}. Find :ANB = O {1, 2, 3, 4, 5, 6,…

A: Given A = { 1, 2, 3, 4, 5, 6} B = { 2, 4, 5, 6} C = { 1, 6, 7}

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Q: Problem 6: Consider the following minimisation problem: min subject to (P.) 6(11 – 10)2 + 4(z2 -…

A: We are given the following minimalization problem: min                  6x1-102+4x2-12.52 subject to…

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

A: Solution

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

A: Area using polar coordinates is given by  A=∫∫A r dr dθwhere x=r cos θy=r sin θ

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Q: H-w.4 Find the Volumes for the fallowing solids whose theights are defined by ECX,y) and bases are…

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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: n(A U B) = 155, n(A N B) = 30, and n(A) = 105 %3D What is n(B) ?

A: We have given the values n(AUB)=155 , n(AnB)=30 and n(A)=105 . Then to find n(B) .

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

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Q: -(ソー1ー号)

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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: 53-S²+S-1

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Q: . Let f : [0, 1] R be defined by |-1, z = ; >50 f(x) = {0 |<a < }; 1, 21 (a) Show that f € R([0,…

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Q: sin x – e-* = 0, [0,1]

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

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: What is the equation of the normal to the curve x^2 + y^2 = 25 at (4,3)? 5x+3y=0 3x-4y-D0 3x+4y=D0…

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

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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: Solve D.E =(メーッ)ス

A: We will write the given differential equation in linear first oder ODE and then will solve it using…

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

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Q: Q2/ Fit a second - order polynomial tó thẻ đấtă iñ the folowing ble X 6. 1 2 7 Y 8 3 4 -1 4 6.

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Q: solve D.E = ( x)z %3D

A: We will write the given differential equation as a linear fist order ODE and then will solve it…

Q: 3. Prove F (Vr)(A→ B) → (Vx)A → (Vx)B. ->

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Q: The region D in the x, y plane defined by the inequalities 0 < x < 4, 4 < y < V32 – xe can be…

A: We will use relation between cartesian and polar co ordinate  x = r cosθ ,   y = r sinθ We will draw…

Q: 2. Angela gets paid a salary of P4,530.00 as a preschool teacher every week. Determine her: (a)…

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Q: Consider the solid bounded by the planes: z=x+y, z=30, x=0, y=0. Determine the volume of the solid.…

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Q: Question 2 Chen has received a gift of $2000 from a generous aunt. However, this is not enough to…

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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: O Prove that G(Vatienal number bers)is negrigibleset

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Q: 1. Use the surface integral in Stokes' Theorem to calculate the circulation of the field F around…

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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: Find area inside r=2eos6 out side

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

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Q: Evaluate fa e2z dz, where C is a circle with (z+1)* centre at origin, |z| = 3.

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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: (2) Solve the given differential equations by Using an appropriate substitu- tion (i) 2y +r + y? +…

A: solve the given differential equations by using an appropriate substitution (i) 2y'+x2+y2+x=0 (ii)…

Q: x² + y² + 2z² – 2x + 8y – 12z + 35 = 0

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Q: -4-y Evaluate triple integral , S dz dy dx .

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Q: Estimate the error in using the partial sum of 65 terms of the series k=1 Error DII * @ # $ & 2 4 5…

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Q: /1- y?)dx = 0

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

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

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Q: Find the value of E 2) Evaluate y dx 3) x e

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Q: Q: find area inside r=2cose and outsider 1?

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