If A = B C = E Find the value of L,0, V, E if AB= C. 4 [-1/3 4/9] -1/3 4/9 D. 1/3 -1/9 1/3 1/9

Q: By Variation of Parameters 1) xy' + (1 – x)y = xe* 2)(x²

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Q: Problem (1) A population P is modeled by the differential dP = P(1- dt ). The slope field of the…

A: We have to sketch the solution curves that satisfy the given initial conditions. Then, we can…

Q: 3 Find x such that the matrix B = is -2 -3 equal to its own inverse. а. 4 с. 9 b. 6 d. 10

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Q: ed as shr Time, hour Fuel, liter 1.2 0.33201 1.7 0.54739 0.60496 1.8 2.0 0.73891 ino for 1

A: Given: Record of fuel consumption of the engine Time (hour) Fuel(liter) 1.2 0.3301 1.7…

Q: Find the curvature and the radius of curvature at the point t = 0. x = e' cos(t), y = e' sin(t), z =…

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Q: (vi) { ve'": rsi and @ 4 4 (VW) £ : 1리1 < 1or l 군- 41 <1 5

A: This is a problem of complex analysis.

Q: S METHOD. (Show solution) X =

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Q: Eb) Then Select an appropriate value of (0) Find à Taylor polynomial of degree 1 (0) Find à Taylor…

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Q: Consider the sequence defined by the recurrence: a0 = -1, a1 = 2, an+2 = 3an+1 - 2an (n is greater…

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Q: 6. Find the rank correlation for the following data: 56 42 72 36 63 47 55 49 38 42 68 60 y 147 125…

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Q: 11. Solve the second-order differential equation y" – y' – 2y = 20 cos x using the method of…

A: To solve the second order differential equation by using the method of undetermined coefficients.

Q: 1. Six line integrals in no particular order. (a) Evaluate fF.dĩ where: F(z, y.2) = (y²z*, 2ryz",…

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Q: II. Consider the function g defined by 1 g(x, y) = cos (12VT) + log3(r – y)' Do as indicated. 1.…

A: The given function of the two variables is g(x,y)=cos(πxy)+1log3(x-y). (a) To find: ∂2g∂y∂x. (b) To…

Q: Use the table below to find the percentage of data items in a normal distribution that lie between z…

A: To find the percentage of data items between two z - score of normally distributed data we just take…

Q: (b) Solve for the optimum to the following problem using the Karush-Kuhn Tucker conditions: Optimise…

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Q: Problem 6. rotating D about the line x= -4? important for solving this problem?

A: We will use second theorem of Pappus According to it volume  of a solid generated by the revolving…

Q: Simplify 6+j2.5 3+j4

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Q: Write a logically equivalent statement for C,D and E

A: We use logical equivalences.

Q: faow that the function f depthed by (X .Y) = (1, - 1) f(XrY) = %3D x2 + 냉 (x, y) $ (1,-1) * ty is…

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Q: Find the number m, such that the function y = ema is one solution of the ODE dy &y dy + 5- dx? = 0…

A: We will satisfy the solution with given ODE to get value of m.

Q: 5. Is L{f(1) + g(1)} = L{f(1)} + L {g(1)}? L{ f(1)g(t)} = L{f(1)}L{g(1)}? Explain.

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Q: Determine the degree of the differential equation 1/2 +1 = 0 3/2 Y2 -y1 A. 6 В. 3 С. 2 D. 4

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Q: example problem about Area Region Bounded by Different curves. Write the problems and the complete…

A: One example to find the area of the region enclosed by the curves. (a) y=ex, y=e6x, x=1

Q: PARTIAL DIFFERENTIAL EQUATIONS PLEASE ANSWER ALL QUESTIONS Consider the initial boundary value…

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Q: Find the constant variation for each combined variation. Then find the value of the unknown quantity…

A: We have to find the value of constant variation. Then we can proceed further.

Q: 5. Let o1, 02, 03 be the Pauli spin matrices -(* :). --(: 5), -(; :) 1 01 02 03 1 0 i and oo = I2.…

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Q: . Find and classify all the critical points of f (x, y) = 7x – 8y + 2xy – x² + y³.

A: (2)  Given data curve is  f(x,y)=7x-8y+2xy-x2+y3.............(1) then fx=7+2y-2x    &amp;…

Q: What would be the degree of the differential equation? d3y [a²y] d²y = x²log ax +7 dx3 Ldx2. С. 3 D.…

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Q: 5. Let o1, 02, 03 be the Pauli spin matrices - (? ). 0 1 1 0 -(? ) 이-(69) 1 01 = 02 = i 03 and oo =…

A: We have to show that the matrices 12I2, 12σ1, 12σ2, 12σ3 are linearly independent. Then, we can…

Q: e3x + 5e* (с) lim x→0 7e3x – Te™

A: We have to evaluate the given limit.

Q: 7. xdx + ydd = (x² + y²)dx 8. (2x2 + y)dx + (x²y-x)dy = 0 %3D %3D

A: We  will solve these two by the method of inspection of integrating factor

Q: any region R:

A: Given,              f(x, y)=x2y+xy2+12y where R is the region bounded by the given functions:…

Q: -2 Find C, where matrix C = [3/2 -1/2

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Q: 2. Let R be the relation on Z→Z such that ((a,b),(c,d)) = R a+d =b+c. Show that R is an equivalence…

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Q: Find the unit tangent vector to the curve at the specified value of the parameter. r(t) = 7 cos(t)i…

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Q: Question 2: Apply the modified Euler method (Runge-Kutta of order 2) with h = 0.1 to determine an…

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Q: Determine the three roots of -32/2 - j32/2-32 2 - j322 .

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Q: Use Laplace transforms to solve the following initlal Value pr S y0)(t) – y(t) = 8 (t) y(0-) =…

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Q: 9. (x*- y*)dx + xy°dy = 0 %3D

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Q: 1. Matrix A is best known as 100 A = 010 0 01 Select one: O a. Lower Triangular Matrix O b. Diagonal…

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Q: 3. Calculate the area enclosed by the graphs of y = e* and y = x², the y-axis and the line x =1

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Q: Draw an exploded diagram of the office organizer.

A: Given: Let us determine the exploded diagram of the given office organizer.

Q: 3. An integer n : 1<n < 1000 is chosen. Compute the probability that the integer is... a) divisible…

A: Probability of divisibility

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Q: Two pair misread values. A computer while calculating she correlation coefficient.between two…

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Q: cos x + cot x sin x +1 cot x

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Q: Given the following results of the height and weight of 1,000 men students : 3= 68", X-150 lbs,…

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Q: (b) A system which is represented by the given equation below, is able to work effectively even when…

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Q: Dave and Frank are graduating and are no longer going to be roommates, but they both want to keep…

A: Solution :-

Q: 4 State *Find a power series for the function, centered at c = 5, for the function f (x)%D 2x +3 the…

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