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Q: Find volume of body bounded by z? + y? + x? 9.

A: Here we can use spherical coordinates to find the required volume. Volume of a solid in spherical…

Q: Exercises: 1) Determine the eigenvalues and the corresponding eigenvectors for the following…

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Q: Assume that x ∈ Z. Consider the following: If x is odd, then 2 does not divide x. (a) Prove the…

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

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Q: Use Newton methad to find fis), f'ca) 9. to 3. 10

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Q: e- lim

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Q: There are red balls, white balls, and black balls in a bag. A ball is chosen at random and the color…

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Q: 2 34 5 6 7 8 9 X (b) 9 3 716 5 2 X 4 8 (c) (abc)(cad) (d) (213)(3421)(153)

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Q: cos(x) f(x) = 1- cos(x) In solving the antiderivative of by miscellaneous substitution, the…

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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: QI) Evaluate the integral dx dy using polar coordinate

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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: Q30. R = {(i, i), (i,n), (g, g), (n, n), (n, i), (o, i), (o, o), (0,n)} is a relation on set B =…

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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…

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Q: 5) Find volume of body bounded by z = 0 from below and z = 4- y from above inside y = x ,y 4.

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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: 2) 3) 12 4) 5) 미. 미이미。 미 미 미 미우 미위미위 미 미 미유 키4 2_3

A: 2. 2540-2440=140

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

A: We want to perform the matrix operations FE and EF

Q: The triple integral 4 0. 1 dx dy dz -4 evaluates the volume of the rectangular box {(x, y, z)| – 3 <…

A: True   We  solve this triple integral

Q: Suppose o, p :Z → G are homomorphisms such that q(1) = 4(1). Prove o = 4.

A: Given that                      φ,ψ : ℤ→G are two homomorphisms such that φ(1)=ψ(1). To solve the…

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

A: Solution

Q: Let s, =15r +10t + 20 and s, = 5t² + 40r , t20, be the position functions of cars A and B that are…

A: Given that, sA = 15t2 + 10t +20 sB = 5t2 + 40t Velocity is given by,       v = ds/dt Hence, Velocity…

Q: A class adviser surveys 35 of his students on the kind of pets they have at home. He found that 15…

A: We want to find number of students have none of given pets.

Q: A coin is tossed three times. Let Hand T be the head and tail shown on the side of the coin facing…

A: We have to find (C union B')

Q: Evaluate the following integral using Trigonometric Substitutions Method: 2. y = 1- x dx

A: Here to solve the given integral, we can use trigonometric substitution  x=sin2t

Q: et L: M2x2 - M2x2 be the linear transformation defined by L(A) = 414, %3D or matrix A in M2x2-…

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

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

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

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Q: Q2/ Fit a second - order polynomial to the data in the following table: 5 1 4 2 9 Y 8. 4 -1 8 4 6 6…

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Q: Given 4x –9y =1. Find by implicit differentiation. dx

A: Given equation is 4x2 - 9y2 = 1

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

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Q: dy given x = sin (x + y). dx Determine

A: Given ,  x=sin(x+y) we have to find differentiation of y with respect to x.

Q: . Rolle's Theorem: Assume f has a derivative (finite or infinite) at each point of an open interval…

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Q: ) Solve the D.E xy(x²+ 1)dy- (y2 + 1)dx 0 %3D

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Q: Three coins are tossed, what is the probability showing of no tail ?

A: Solution

Q: By Gauss-lordan Method, solve the following system of linear equations. x+y+z+ w = 10 x- y+z-w = -2…

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

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

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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: 3. Let An, A, Bn, B be subsets of 2. Show You are sharing your enti lim sup A, U Bn = lim sup A, U…

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Q: A card is drawn from a well-shuffled deck of cards. Find the probability of drawing a face card Your…

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

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

A: Solution

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

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

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Q: Using implicit differentiation, find the slope of the tangent line at the point (9,16) on the curve…

A: Given curve, x+y=7 and point (9,16)

Q: 6) If d +1 is the smallest positive divisor of an integer n, then d is prime. a) True b) False O a)…

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