In Exercises 11-14, find the value(s) of h for which the vectors are linearly dependent. Justify each answer. -DOD-HOD 5 12. h 11. 4 3 -5 7 2 1 -6 7 8 h 4

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Q: The number of fish Fina lake is modelled by dF dt = 4,250F-8F2. How many fish do we expect in the…

A: Given that The number  of fish  F in a lake  is modelled by  dFdt=4250F-8F2

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Q: - From x= 5 x² +2 J derive it atleast 5 equations where one is isolated. Stop when x = g(x)

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Q: 3. Show that [(pv q) ^ (p →r) ^ (q→r)] →r is a tautology using logical equivalences.

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Q: :) From x ²³²-x-1=0, derive it atleast 5dequations one x is isolated. Stop when x = g(x).

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Q: 3. The function f(m, n) = 2"3" is a one-to-one function from N x N into N. (a) Calculate f(m, n) for…

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Q: Gi

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Q: The second column of the matrix of change of basis from the basis B=(u=(1,1,1); v= (1,0,1);…

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Q: 26. Vydx+ (1+x) dy = 0. y(0) = 1

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Q: Question 3 Perform these operations without converting to inches and express your answer in feet and…

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Q: Find the general solution of the system whose augmented matrix is given below. 1-4 0-1 0-9 10 0-8 5…

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Q: 7. Find the general and singular solution of ( y − px)² (1+ p²) =a² p².

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Q: 2. Show that for any x, the matrix A = A² = I. [cos(2x) sin(2x) [sin(2x) − cos(2x)] - satisfies the…

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Q: For the following equation 2d²x + 3dx at ² at + 2x = 2008 at given initial conditions XCO) = 0.01…

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Q: 5. Find a series diverges. 1a, which converges conditionally such that a aj

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Q: Given an integer n ≥ 1, how many hexadecimal strings of length n begin or end with a decimal digit?…

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Q: Q5/Solve the following ODE using Laplace transform y" - 2y' - 3y = e-2x, y(0) = 2, y'(0) = -1

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Q: (~p^q) v (p^~q)

A: See the truth table in next step

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Q: Determine how many solutions there are for the congruence 2x= 14 (mod 16). If a solution exists,…

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Q: Solve the equation 3uy + Uxy = 0. (Hint: Let v = uy.)

A: Introduction:      An equation that has two or more independent variables, an unknown function that…

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Q: IF Find 2 A = 1 0 457 -1 -2 -5 3 C = 1- 3A + 2B - AC 2-Adj A OR |Adj B| 4 3 0 2 -2 5 4 -5 II -2 B =…

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