L. RELATIONS Let C= D= {-3, -2, -1, 1, 2, 3} ar For all (x, y) E Cx D, (x, 1. a. Is 2 S 2? b. Is -1 S-1? c. Is (2, 2) E S?

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

A: As per the question we have to find the Green Function of the operator L , defined as : L[x(t)] =…

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A: Volume of the solid (V) =∫∫∫dxdydxGiven solid bounded by z=0, z=4-x, x=y2 and x=4 Limits of…

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

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Q: If n is a positive integer, then [2 -168 -4 -2]^n  is [ ]  (Hint: Diagonalize the matrix first. Note…

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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: 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}

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

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

A: We have convert the given problem into polar coordinates.

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

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Q: Q2) Solve the D.E dy – (2x/1– y²)dx = 0

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

A: Area using polar coordinates is given by A=∫∫A r dr dθ

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Q: O Find plane area inside the polar function r = 2 and outside polar function r = 2 sin (+ 0) in…

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

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Q: Evaluate the integral dx dy using polar coordinate

A: To find the integral using polar coordinates, first we identify the region bounded by the limits of…

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A: We are given the following table.  t 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 5.5 6 y 0 0.25 1 3 6 10 15…

Q: Area = 2 Area = 1. Area = 3 3 5 7 Area = 7 Graph of f' The figure above shows the graph of f', the…

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Q: 1..Find the number of words of length 7 using letters from {A,B,C,D,E,F} in which no two consecutive…

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

A: Given are some functions in (a), (b) and (c)   To Graph the function, then find the domain, Range,…

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

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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: Q5/ Use Linear Regression to fit the following data: 1 2 3 4 5 6 Y 4 9 10 10 8 O3

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

A: Solution

Q: Q5) Find volume of body bounded by z = -y2 from below and z = x from above inside y = 0,y = x,x 1.

A: We have to find the volume of region.

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

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

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Q: Q Use Newton methad to find f(s), f'ca) 9. 8. to 8. 10

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Q: Consider the following two ordered bases of R³: {{2, –1, –1), (–2, 2, 1), (5, –3, –2)}, {(0, 1, 1),…

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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: 50 (s² + 15s + 2) 25s2 + 202s + 25

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

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

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Q: Equality of Matrices 1. Find a, b, c, x, y, and z to make matrices A and B equal if c 2 а у+1 3 1 B…

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

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Q: Example 1.2 (1) Determine if the following series converge or diverge. a)E(-1)* k+3 (-1)*- k-1 k(k…

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Q: 1.5 (3-y Q1) Evaluate the integral dx dy using polar coordinate 'y

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