|The projected rate of increase in enrollment at Newhampton College is estimated by dE 5000(t + 1)~3/2, dt where E(t) is the projected enrollment in t years (t > 0).

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A: Given that: R(x)=7xC(x)=0.06x2+0.6x+80

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A: Given,

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Q: |The projected rate of increase in enrollment at Newhampton College is estimated |by dE 5000(t +…

A: Isolate the variables E and t in the given differential equation. dEdt=5000t+1-32dE=5000t+1-32dt

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A: Given the projected rate of increase in enrollment in a new college is dE/dt= ( at+1)^-1( a+1). We…

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Q: A population of insects increases at a rate of 200 + 10t + 0.25t2 insects per day (t in days). Find…

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A: Y(t)=Population in year tY(0)=700Y(15)=700+20%700=700+140=840

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A: Given, c(t)=100,000+4000, r=5%, t1=10 p=∫0t1c(t)e-rtdt Now plug the values of t1  and r…

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Q: dy for y =loge(l-Sin( 3x) Xア

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Q: A new fast-food firm predicts that the number of franchises for its products will grow at the rate…

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Q: The population of a town grows at a rate proportional to the population present at time t. The…

A: according to questiondPdt=kP1PdP=kdtintegrate∫1PdP=∫kdtlogP=kt+C    where C is any constanttaking…

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A: We use the average rate of change formula

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A: Given:Find the length of the curve y = ln x from x = 1 to x = e.

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.