Consider the solidas bound below by 3: N3C82+y?), above by ?-1= N @ Its volume V (s); O The height oş the centhaid; C) The moment of inertia with aspect to the Z -axis.

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

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Q: Question Completion Status: Moving to the next question prevents changes to this answer. Question 9…

A: Volume bounded by the xy-plane

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: 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 ser fak Aren from the folloding 24x+32y+82-72

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Q: (1+x)-3=1-3x+6x2-10x3........ with  ex= 1+x +x2/2 +x3/6............

A: Here we use the D'Almbert ratio test.

Q: Q1) Evaluate the integral N 4-y2 dx dy using polar coordinate

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

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Q: Evaluate the following integral using Trigonometric Substitutions Method dx y = 9x2 + 16

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Q: Q3) Evaluate triple integral f, S, ya(x² – y²)dz dx dy.

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Q: a) Let a complex number z =-5i+3. Find in the standard form x+ yi . IN

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Q: O Evaluate the following integral using Partial Fractions Method: x3 + x2 y : dx x2 1

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Q: Q5) Find volume of body bounded by z2 + y2 + x2 = 9.

A: Given equation is x2 + y2 + z2 = 9

Q: (b) lim (z.y)→(0,0) Vr4 + y3 +1–1

A: limit of the rational function

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: 2 -1 0 3 0 3 2 -1 If D = and E = find 1 5 6 2 0 7 1 3, G = 1 7 4 0 6 [5 4 3 -7 2 6. , find 2 0 If F…

A: The given matrices having different orders.

Q: A cylindrical steam broiler is to be constructed having a capacity of 1000 cu.m. The material for…

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

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Q: (1+x)-3=1-3x+6x2-10x3........ with ex= 1+x +x2/2 +x3/6............

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Q: Q2) Evaluate the following integral using Trigonometric Substitutions Method: dx 19x2 + 16 y

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Q: Q5) Find volume of body bounded by z2 + y2 + x2 = 9.

A: Solution

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

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Q: g"(x) sin(x- 1) Z-1 kx - 8x + 6, -4 13 h(x) = -1 10 x> 3 8. 3. -1 (E) Find all x value(s) on the…

A: We will use given graph and table to find values . Note : According to guidelines maximum 3 subpart…

Q: Which of the following is the Taylor series expansion of the function f(x) =e-2 with center a 2n n!…

A: Given function is f(x) = e-x2

Q: 1. Draw the graph of the following relations and/or functions. Make sure that all "important" points…

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

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

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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: Consider the function f : R → Z given by the floor formula f(x) = ⌊ x ⌋. Is f injective? Explain…

A: Injective function is a function f that maps distinct elements to distinct elements. A surjective…

Q: solve to find y and x, take y(0)=0 and x(0)-1 ý + y- 0.5x = 0.5 * + 0.5x - y = 12 %3D

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Q: Giveni- The fourier Seviej a fIt)= Sin ht TT n=1,3,5,.. find: a +6

A: We know that the Fourier series of a function f(x) defined on the interval 0, 2L is…

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

A: Given distribution function is  F(x) = 0ifx<1k(x-1)4if1<x<31ifx>3

Q: Q2) Solve the D.E xy(x² +1)dy- (y² + 1)dx = 0

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

A: Solution

Q: EXERCISE 3 Sketch the graphs of the following linear functions. Determine and indicate the…

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

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Q: Q42. The value of p and q respectively when (p + q) V p is false is? (a) T, T (b) T, F (c) F, T- (d)…

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Q: b) Given that z, = V3 +i and z, = -2- 3i . Find the modulus and argument of and %3D Hence, express…

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Q: Question 18a. A disease propagates according to x' = 64 – xy – 12y %3D y = x - y where x represents…

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

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

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Q: 6. Find the temperature distribution in an infinite bar with c= 1 and initial temperature 4 f (x) =…

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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: Q2) Convert the polar function r tan20 to cartesian.

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

A: Q2)

Q: a) Given the following set of parametric equation x=t? +1, 4y = 8+4t i) Eliminate the parameter of t…

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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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