Solve the system of differential equations - 5x + Oy y' = – 9x – 2y ly' x(0) = - 1, y(0) = 0 x(t) = y(t) = %3!

Q: The integral of the given function J_1 J+2)(3-x) dx is equal to a. Arcsin 0.2 + Arcsin 0.6 b. Arccos…

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Q: Determine the value of k such that the system of linear equation has infinite number of solution. 4x…

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Q: 5 people can claim joint ownership of an item and intend to divide it by the Method of Sealed Bids.…

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

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Q: 1 -1 (c) Let A : -1 1 1 and define LA : Rª → R³ by %3D -1 1 1 LA: 12 H A. Find the kernel of LA.…

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Q: d) Use Laplace transforms to find the final value of the following expression. f(t) = e-3t sin 4t e)…

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Q: " IF R= 5B-2C find the value of the following r21 10 13 16 r31 11 #14 r22 #17 r32 12 15 r23 18

A: To find the elements of the matrix R .

Q: II. Consider the function g defined by 1 g(x, y) = cos (71/) + log,(r – y)" Do as indicated. 1.…

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Q: Use either integration by substitution or integration by parts as needed to evaluate x+1 -dr x2+2r+1…

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

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Q: d Calculate ri(t) · r2(t)] and ri(t) × r2(t)] first by differentiating d dt the product directly and…

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Q: An examinee of the National Medical Admission Test (NMAT) got a percentile rank of 95%. What does…

A: Given that an examinee of National Medical Admission Test (NMAT) got a percentile rank of 95% .

Q: Consider the DE " – xy 15y 2x – 4 | | A) Verify that yı = x and y2 = x satisfy the DE: xy" – xy -…

A: Variation parameter method

Q: 2 - Given matrix A = applying -5 3. row operation it become : , 2 -61 -3 -3] what row operation…

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Q: 4. Fit a second degree parabola y = a + bx + cx? to the following data 2. 8. 10 y 3.07 12.85 31.47…

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Q: A.3 Direction: Let p be "She is not beautiful" and let q be "She is not intelligent." Write…

A: p : she is not beautiful  q : she is not intelligent

Q: True or False: For an IVP dy/dx = f(x,y); y(a)=b, if f(x,y) is not continuous near (a,b), then its…

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Q: х+у+2z %3D0 Solve x - у + z %3D —1 2х + у +z %3D2 by Gaussian elimination. а. (1, -1, -1) b. (1, 1,…

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Q: 3. u, = u, - sin x cos t, 1 >0 В.С.: и(0, г) %3D0, = () 1.С.: «(х, 0) %3D 0, u,(x. 0) = 0

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Q: Find the moving trihedral and the curvature at any point of R(t) = (In(6t), e²-t,5t). %3D

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Q: (5a?y? - xy? + 17y2) dæ (a³y + 2a?y + 9xy + 18y) dy = 0 Solve -

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Q: A dealer wishes to purchase a number of fans and sewing machines. He has only 5760 ETB to invest and…

A: The profit on Fan is ETB 22 and the profit on Sewing machine is ETB 18 Let the number of fan is ETB…

Q: QUESTION 3: Mr. Daily moves to a new province and has the option to either use prepaid electricity…

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Q: Determine the value of k such that the system of linear equation has infinite number of solution. 4x…

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Q: Show that the integral is independent of the path, and use the Fundamental Theorem of Line Integrals…

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Q: II. Consider the function g defined by 1 g(1, y) = cos (7I)+ log3(x – y) Do as indicated. 1.…

A: Directional derivative of a function g(x,y,) in the direction of unit vector  u^=a,b  where ∇g=gx,gy…

Q: Q2 An electrical device was measured for its current, I fluctuates at a number of different values…

A: Given the data in the table which shows the flow of electric current at different time t. To…

Q: 1. Find a graph with 12 edges having six vertices of degree three and the remaining vertices of…

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Q: Evaluate f(1) 1 Given: F(s) (s2+1)(s²+4)

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Q: V = R' = {(x.y)|x, y e R}, with standard operation of addition on R² which is (x,.y,)+(x,, y2) = (x1…

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Q: In point A (-6,-8,8), express that vector that extends from A to B (8, 6, -1) in spherical…

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Q: Find all number(s) a for which the least squares line of best fit for the points (1, 1), (2, 4), (3,…

A: In part (b) we need to find the line of best fit in terms of a then we need to equate the slope of…

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

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Q: x = 0 x # 0 Let g(x) = {sin Find all values of h for which h satisfy the following conditions on I =…

A: We will use the basic knowledge of set theory and functions to answer this question completely and…

Q: Given the solid E that lies between the cone z² = x2 + y2 and the sphere x²+y2 + (z – 8)2 = 32. a) !…

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Q: Solve each nonhomogeneous 2 3 1. 3 2

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Q: 3. Let f(x) = x(x² + 1)/2. (a) Evaluate fo f(x)dx using integration by parts. (b) Evaluate f, f(x)dx…

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Q: Suppose that G and H are equivalence relations in A, and that G C H. Prove that Gr Gy if and only if…

A: Given G and H are equivalence relations in A. Let us start proving the step by step

Q: az and dy dz IV. Suppose z is a function of a and y, and tan Vy? + 2 6y Solve for

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Q: 3. Using both Simpson 1/3 and 3/8 rules compare the Error of the equation. -dy 1+cosy

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Q: 1. Use Least Square Regression to fit y - ax to 6 7 8 9 8 10 13 3 4 5 1.5 2 3 4 5 y

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Q: Q1. a) Find the Laplace transform of the following expression by using transform tables. f(t) = t +…

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Q: Evaluate: e da using 1/3 and 3/8 Simpson's rule. Round off to 6 decimal places.

A: Using Simpsons 1/3 and 3/8 rule with 6 decimal places

Q: Conditional statement has two parts; a hypothesis (antecedent), denoted by P, and a conclusion…

A: To construct the truth table for the statement:~(p∨q)∧~(q∨p)

Q: d the smallest distance from the point (0, c, 0) to the surface y = x² + z².

A: Lagranges Multiplier method is used

Q: 1. Solve the differential equation: xy' – y = 2x ln x

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Q: b) The following proposed proof contains two mistakes. Explain the mistakes. Result Let A and B be…

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Q: Find the solution set of x- 4y + 3z = 1. а. (1, 0, 0) b. (-2, 0, 1) с. (1 — 4s + 3t, s, t) d. (1 +…

A: We have to find the solution set of x-4y+3z=1