Q30. R = {(i, i), (i,n), (g, g), (n, n), (n, i), (o, i), (o, o), (0,n)} is a relation on set B = {g,i,n, o} then relation R is? (a) symmetric onlye (b) transitive only (c) symmetric and reflexive only (d) reflexive and transitive only

Q: Q4) Evaluate the following integral using Trigonometric Substitutions Method: 1- x dx y =

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

A: Given differential equation is dy - 2x1-y2dx = 0

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

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Q: O Prove that Q(Vational number bers)is negrigibleset 2show thet (ir rational numbers ithat…

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Q: Q2/ Fit a second - order polynomial to the data in the following table: 5 1 4 7 Y 2 8 3 4 -1 4 6 00

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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: Prove that the series diverges at x = 3 (Limit Comparison Test) Prove that the series converges at x…

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Q: Q4/solve the equation by Newton -Raphson Method: F(x) = x* - 5x + 65 , start at x =2, accuracy…

A: Given f(x) = x4 - 5x3 + 65⇒ f'(x) = 4x3 - 15x2 x0 = 2

Q: Find the curvature of the function y=ln(3x) at x=3x=3. Find the radius of curvature at x=3x=3.…

A: Given function is:  y = ln(3x) First we will calculate the radius of curvature : Radius of curvature…

Q: Instructions: • Write the GIVEN with their respective symbols and units. • Do not skip the…

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Q: 5coshx+3sinhx=4,then what is the value of x

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

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Q: What is the equation of the normal to the curve x^2 + y^2 = 25 at (4,3)? 5x+3y=0 3x-4y-D0 3x+4y=D0…

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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: Two positive whole numbers add together to make &46. What is the largest possible answer when the…

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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: Areat trigonometrie polynomints or trig-polyfor Short isafunetion tof the Serm clear that every…

A: Using Euler formula for trigonometric function to complex exponential and vice versa.

Q: Q Use Newton method to find fis), f'9) 9. to fou 3. 10

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Q: The value of lim et3 -x tan x-cos x x2 is?

A: We want to find limit of given function

Q: Problem 6: Consider the following minimisation problem: min subject to (P.) 6(11 – 10)2 + 4(z2 -…

A: We are given the following minimalization problem: min                  6x1-102+4x2-12.52 subject to…

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: 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: Q18: Select the incorrect step while evaluating J x2-7x+10 dx. x-8 I: Let I = S- dx = S dx - S dx…

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Q: The set of equivalence classes Zn = {[0], [1], - - · , [n – 1]} is an example of what is ... called…

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Q: Three coins are tossed, what is the probability of showing three tails ? Your answer

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

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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: Fine the 17th,19th and 21st terms of the Fibonacci sequence using this formula fn=fn-1+fn-2

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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: 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 2 If D = 2 -1 0 3 , find and E 0 1 3 2 -1 13. DE 14. D4

A: Given matrices are D = 1201  and  E = 2-103032-1

Q: Q4) Find plane area inside polar function r 2 and outside polar function r= -2sine in third quarter.

A: We know the relation between polar and cartesian coordinates system, x = rcos(θ)   ,     y =…

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)] =…

Q: The value of Ss (x + z) dy dz + (y + z) dx dz + (x + y) dx dy, Where 's' is the surface of sphere…

A: Here we can use divergence theorem to find the value of the given surface integral. Divergence…

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

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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: 3. Find the area of the surface cut from the nose of the paraboloid x = 1-y²-z² by the yz-plane. Do…

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Q: A bag contains x red paper clips, (x + 4) blue paper clips, and (3x – 11) white paper clips. A clip…

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

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Q: USING NEW Ton RAPHSON THE VALUE DELE RMINE 1o 0.04 ACCURATE 0.800. ME THOD DF NEAR 10 4. DECIMAL to…

A: Calculate the first derivative of y.

Q: Q: find area inside r=2cose and outside r = 1? %3D

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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: integral Jo Jx2

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

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Q: There are 12 chocolate cakes, 18 cheesecakes, and several cream cakes in a refrigerator. If the…

A: Here we make an equation and then solve that equation.

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

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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: 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: 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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