dx Solve the differential equation dt - Mx = 3eMt under the initial condition x(0) = M – 2 by 4) %3D using the Laplace transform. Note: M = 3

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Q: Q1. Use the following set of data to calculate the followings; Wariance, mean, mode, median and the…

A: The mean is: x x−¯x¯ (x−¯x)2 11 -49 2401 22 -38 1444 33 -27 729 44 -16 256 55…

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Q: Q2. If Y 1 30 2 25 3 20 15 10 6. 7 1 What type of relationship exists between the above set of…

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Q: Q11. Find Fourier Series of the function f (x) = COs x , -T < x < T

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Q: 1) Determine the Fourier Series of the below waves (case (a) and case (b)) both having the origin…

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Q: Show whether or not the following limit exists: xy³ lim (x,y)→(0,0) [x2 + y6

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Q: MEMBERSHIPS A health club has a monthly membership fee of $20 and charges an additional fee of $3.00…

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Q: Solve the following DE (use any method) (6xy)dx + (4y? + 9x?)dy = 0 %3D

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Q: 3. A force F = (6 + m)î – (3 + n)j – k passes through the point B whose position vector is b = î –…

A: Calculate moment:  M=r×F   =b-a×F   =i-4+mj+k--i-3j+5+nk×6+mi-3+nj-k   =2i-m+1j-4+nk×6+mi-3+nj-k…

Q: b. Let A = 17 [2.5 3).c = ; In1+ log100| and D = ‚B = C csc90° Find the following: If B2 -.D + 2AT |…

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Q: 2. Let U= {x:x € Z,0 < x < 10} , A= { x:x E N ,x² – 5x = -6}, B={ a , b} %3D and C={c, d, e } Note:…

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.