Find the Green function of L[x] = x" on [–1, 1].

Q: Q1. By using cubic approximation of Langrange Interpolation, approximate f(7.65) based on the…

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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: Graph and find the Fourier coefficients of the following functions f(x): - 1/2 < x < Tt/2 T/2 < x <…

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Q: Find a parametrization, using cos (t) and sin(t), of the following curve: The intersection of the…

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Q: Q1) Evaluate the integral * dy dx using polar coordinate Q2) Solve the D.E dy + (xy- xy2)dx 0 Q3)…

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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: 1- x dx y =

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

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Q: Sletch the region in the plane consisting of points whose polar coordinates Satsfy the given…

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Q: Maximize: z= 2x, + X2 Xy + 4X2 s 12 2x, + 6x2 s 2 Xq + 4Xg s 4 Use the simplex method to solve the…

A: The given linear programming problem is                                          Maximize…

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

A: Solution

Q: Suppose a state lottery prize of $4 million is to be paid in 5 payments of $800,000 each at the end…

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Q: Q3) Find the Area bounded by the curves y² = x and x = 2y - y?.

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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: 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: Q2/ Fit a second – order polynomial to the data in the following table: X 1 4 2 7 Y 2 8 3 4 -1 8

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

A: Solution

Q: Find the local extrema of the following function. .3 f(x,y) = x° - 12xy² + 48y2 Find f, (x.y) and…

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Q: Q5) Find volume of body bounded by z = 0 from below and z = 4 – x from above inside x = y? ,x = 4 .

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Q: An insurance settlement of $2.5 million must replace Trixie Eden's income for the next 30 years.…

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Q: Suppose an urn contains 10 marbles: 4 are white and 6 are black. We will draw marbles randomly,…

A: First four are whack which means they are white and one of the first 5 drawn marbles.

Q: 3-Vn Vn3 n=1 What type of test and does it converge or diverge?

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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: o Find area inside r=2cos6 out Side

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Q: Deteomine if t he follow ing series Converge or diverge a) Ž Eij kn k+3 k (k+i) b) n2

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

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Q: The approximation of xln(x + 3) dx using two points Gaussian quadrature formula is:

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Q: a) Given f(x) =- 3Vx + 2 Find f'(x) using the definition of derivative.

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Q: Solve: (dy/dx)? + (y- 1– (x/y)) dy/dx <- x/y(y– 1 ) = 0

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Q: uppose that we use Euler's method to approximate the solution to the differential equation dy dx…

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Q: Q2/ Fit a second - order polynomial to the data in the following table: 6 1 4 9 7 Y 2 8 3 4 -1 8 4

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Q: Find the Maclaurin series for f(x) and use it to approximate the integral 1+ x3 correct to 4 decimal…

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

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Q: SoSEV1+ y³ dydx =?

A: Order of change of integrals

Q: 4-y Q1) Evaluate the integral Ny dx dy using polar coordinate

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

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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: Find area inside out side

A: We have to find the area bounded by Polar curve.

Q: A sure event 0.5 0.01 0.1 0.75 0.25 1

A: We know that P(x) = favorable outcome / totel outcomes

Q: Example 12. In a, b, c are in A.P., prove that the following are also in A.P. () ь + с, с + а, а +…

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Q: Find the special solution to the following partial differential equation: (D + D'-1)(D + 2D'-3) = 4…

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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: (a) Prove that the product of two even permutations is even.

A: please comment if you need any clarification. If you find my answer useful please put thumbs up.…

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: Q5) 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: Solve: (dy/dx)? + (y– 1– (x/y)) dy/dx – x/y(y-1) = 0

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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: 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: 1. Find the surface area of the cone z = Jx2 + y2 that lies between the plane y = x and the cylinder…

A: Surface area in xy-plane

Q: Use (a) fixed-point iteration, (b) bisection method, (c) false position method to find the solution…

A: Follow the python code to solve this equations.