1 The value of f|5x – 3|dx is

Q: Suppose a1, a2, a3, a4, and ag are vectors in R³, A = (a1 | a2 | a3 | a4 | a5), and [1 0 -5 5…

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Q: Find the Area bounded by the curves y2 = x and x = 2y – y?.

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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: | 2 3 4 3. 10 21

A: Here least square method cant is used for this function. The reason is given in the next step.

Q: 4. 5438 + 2468 + 1438 5. 10101112 + 11010112 + 10110102 6. 1213 + 2113 + 2223

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Q: For n successive Bernoulli trials with probability p of success on each trial, the mean number of…

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

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

A: Circulation of vector field F along curve C  =∫CF→dr→ According to stokes theorem…

Q: Suppose the amount of a certain radioactive substance in a sample decays from 3.60 mg to 800. pg…

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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: Three coins are tossed, what is the probability of showing 2 tails and one head?

A: Solution:   SAMPLE SPACE IS :H-H-HT-H-HH-T-HH-H-TT-H-TT-T-HH-T-TT-T-T

Q: Consider the Solidas bound below by 3= N3(*2+y?), above by 2-1=N= -x?-y2 Its volume V (S); O The…

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Q: Use the convolution to write a formula for problem: y" – 3y' + 2y = f(t), y(0) = 1, y'(0) = 0; -

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Q: Determine the COMPLEX fourier series from first princples. Please explain solution thoroughly e2t+2…

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Q: Q: find area inside r32cose and outside r = 1?

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

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

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Q: There are 34 juniors and 45 seniors in the auditorium. After x juniors and x+5 seniors left the…

A: We want to find value of x.

Q: If a ball is given a push so that it has an initial velocity of 24 ft/sec down a certain inclined…

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

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: (x – 2)2 – In x = 0, [1,2]

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Q: xi = 2x1 – 5x2 x2 = 4x1 – 2x2 X1 (0) %3D 2, х2(0) — 3 2х1

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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: dy Find given x' +y =8.y. dx

A: Here we can use implicit differentiation for finding the value of dydx. For the purpose we need to…

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

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

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

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

A: We have to find Distance.

Q: Exercise 4.1.14. Let o : G → H be a homomorphism. The kernel of o is the set ker o = q-1({eH}) = {g…

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

A: Given: x f(x) 1.7 0.397 1.8 0.339 1.9 0.282 2 0.224 To find: f(1.72) from the given…

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

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Q: Let E be the solid inside the sphere a? + y? + z? = 8z and above the plane z = 4, and let S be the…

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

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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: Using either Comparison Test or Integral Test, determine whether the series converge or diverge. [5-…

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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: 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) d²y + 2y = 3 , y (0)…

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Q: Show that the equation dy + 2k possesses solutions of the form E c, e cos (a,x+&,) cos (w,t+ 8,)…

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

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Q: Find the smallest number n of terms needed to obtain an approximation of the series k=1 accurate to…

A: We have to find the smallest number n of terms needed to obtain an approximation of the series.

Q: 11. Given f(x) = e*. (a) Complete the following table. 0.25 0.75 1.0 f(x) = e* (b) Hence, find P,…

A: Given that fx=e-x (a) To complete the given table.

Q: Ql Use Newton methed to find fis), f'ca) 9. to fool! 3. 8. 10

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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: Q3/ Solve the following equation by (Finite Difference Method), choose (h= 0.5) d²y z + 2y = 3 ,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: 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: Mrs. Lopez asked a carpenter to construct a rectangular bulletin board for her classroom. She told…

A: Given : Area of the rectangular board is 12 ft. square.

Q: Q3) Evaluate triple integral , S S2(x² – y²)dz dy dx .

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