dz dt If (z=x. y), where x = cos (t) and y = sin (t) 03. Use the chain rule method to find

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Q: dz dt If (z=x. y), where x = cos (t) and y = sin (t) Q3. Use the chain rule method to find

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Q: Q5/ A: Solve the following differential equation by Laplace : d²y dx² - 4 y = 16 t

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Q: Q2/A: Find the Fourier Series of the function : f(x) = X + π_if - π< X < π and f(x+2n) = f(x)

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Q: Given that f(x) = 2x + 5 and g(x)= x² + 5, find: a) f(g(2))- b) g(f(2))- c) f(f(2))- d) g(g(2))-

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Q: ) If the matrix A= [4 2 1; 1 5 9; 3 8 7], find: · A' - A(3,1) - size(A) - A(:,2)= [] Inv(A)

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Q: Evaluate the piecewise defined function at the indicated values. if x≤6 6x-3 if x>6 f(x) = 0 - {²x-3…

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Q: Evaluate the limit. (Use symbolic notation and fractions where needed.) lim. 5x 3 t-> sin(t) t

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