Suppose that a population grows according to the unlimited growth model described by the differential equation dy dt 0.2y and we are given the initial condition y(0) Find the size of the population at time t = 5. (Okay to round your answer to closest whole number.) Answer = = 600.

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A: Given  f(x) = -5-x2+2if  x≠-62x+14if  x=-6

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A: To find the range of the given graph.

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A: Given vector function r(t)=8+t, -9-t, 2+2t

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A: Question: If the relation represents a function, find the domain and range. (have it in interval…

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Q: Below is the function f(x)., 17+ 6 5 4 3 2 7 -7 -6 -5 -4 -3/-2 -7 -7 -2 -3 -4 -6 71 1 2 3 4 5 6 7…

A: Please see the below picture for detailed solution.

Q: Solve x (az + √2) dx y (az + √2) sin (ay²) dy + (az − √2) dz = 0 4√/2ln |az + √2 = C 4√/2ln|az +…

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Q: 1. (x³ + xy²)y' = y³ Ssangen job10 2. (2x + y)dx= xdy 3. x³y' + x²y-y²= 2x4

A: Topic:- differential equation     Definition:- The order of a differential equation is defined to be…

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Q: Find the slope of the tangent line to the curve − 3x² + 2xy − 4y³ at the point (4, 1). - 44

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A: If you don't understand any step please comment.

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Q: 2. If f: R→→ R satisfies f(1) = 3 and f'(x) ≥2 for all x's, how small can f(7) be?

A: Here we have to find the smallest value of f(7).

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Q: egrate the following by hand, shc 9 (a) 3 3 √x³ - 24+8) dx

A: We can solve this as follows:

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A: Please see the below picture for detailed solution.

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A: Solution is here