y(t) is the solution of the differential equation When t = 0, y = 1. dy dt : 0.5/(t + y)². Use the midpoint method with a time step of h = Please correct your answers to three decimal places. = 0.16, calculate y(h) =

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A: Given graph is a straight line so

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A: The given integral is sec2(4x).

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A: Given,

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A: Given that, the graph of the function is fx=4x and also given that, the function shifted down 6…

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A: A) Since every year, total reserves decrease by 16 billion barrels of oil, therefore: R=2000-16t,…

Q: Find a particular solution of the equation y4 -y3 - y" - y' - 2y = 8x^5:

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A: Consider the provided graph,

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A: A linear equation needs two parameters - the slope and the intercept. The slope is the amount of…

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A: From the given function: plot  f(x)=3 from -∞<x≤-2 plot  f(x)=-2x-1 from x>-2  to x≤1   x…

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Q: How do I evaluate the following 2 equations

A: Given f(x)=x2+9, g(x)=-4x+2 f(g(x))=f(-4x+2)=(-4x+2)2+9=16x2+4-16x+9 =16x2-16x+13 (f-g)(x)=…

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A: Given:       y>12x−1y<−4x−2

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A: Given: P0=15800, r=5% we know that if initial population is P0 and annual growth rate is r% per year…