a. Find the linear approximation for the following function at the given point. b. Use part (a) to estimate the given function value. f(x,y)=2x-y + 5xy; (3,6); estimate f(2.9,5.94)

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Q: Q4) find the soluation of differention equation using exact equation 1) (1 + x²)dy+(2xydx)=0

A: Using exact equation as given below:

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Q: Solve the given differential equation by separation of variables. dp = P - p² dt et+c P = _t+c X

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Q: Find the solution of the given initial value problem in explicit 1 y' = (1 — 11x)y², y(0) = ——— 6…

A: We can solve the given differential equation by using the variable separable method.

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A: log(a^n) =n(log(x))  log(a/b) =loga- logb log(ab) =loga +logb

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Q: Q6) Test the convergence of the following (n+1)(n+2) 1) Σ=1 n!

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Q: Find an implicit and an explicit solution of the given initial-value problem. (Use x for x(t).) dx =…

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Q: Use calculus to find the open intervals on which the function f(x) = x+8√√/2 − x is increasing or…

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Q: Determine the values of b and c such that the function is continuous on the entire real line. f(x) =…

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