A- Find the distance between the line (y =x+3) and center of circle (x+y-2x-0). B- Using Cramer's rule to solve the following linear system: / x+ 2y - z 6, y-z-3 0 x +y+4z - 1]

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Q: .Find the inverse Laplace transform of 3 F(s) s(s? – 2s + s) O-3 – 3t + 3e 03 – 3t + 3e-t 03 + 3t + ...

A: F(s)=3s(s2-2s+s)F(s)=3s(s2-s)F(s)=3s2(s-1)Partial fraction:3s2(s-1)=As+Bs2+C(s-1)3=s(s-1)A+B(s-1)+Cs...

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A: f(x)=ln xhprevoius=0.002f'(x)=f(x+h)-f(x)hf'(3)=f(3+0.002)-f(3)0.002f'(3)=ln(3.002)-ln(3)0.002f'(3)=...

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A: A detailed solution is given below

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A: Given that x2+y2=100dydt=8To find :dxdt when y=6Solution:x2+y2=100x=100-62=8x2+y2=100Diffranciate w....

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A: since you have posted multiple question in this question which are not interlinked so i have solved ...

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A: Here we can find the integration as below

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A: The objective of the question is evaluate the given composition of function at given point.

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A: Distance formula=Sqrt{(x-x1)^2 +(y-y1)^2} The Lagrange method of multipliers is  F(x,y)=f(x,y)+lamda...

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Q: 2x* + х 'f(x) : %3D .3 x' - 1 2х - 3 y = 2 (x² + 4)² b. 2x – 1 y = С. Зх + 5

A: use rule  d(u/v)/dx = (v(du/dx) - u(dv/dx) )/v2 apply here   a f(x) = (2x2 +x)/(x3 - 1 ) f'(x) = ((x...

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Q: ſcos^4 (2t) dt * O 3/2 t + 1/2 sin4t + 1/16 sin8t + C O 1/4 (3/2 t + 1/2 sin4t + 1/16 sin8t )+ C O 3...

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A: Question: S varies directly as r and inversely as square of difference of q to t .If s=12 when r=10 ...

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Q: Give some examples of limits in real life situation (preferably in a persons life)

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