Question Description

I’m working on a calculus question and need support to help me understand better.

area: antiderivatives, areas and distances, the definite integral, evaluating integrals, FTC, integration by substitution, integration by parts, additional techniques of integration, improper integrals, areas between curves, volumes of solids, average value of a function, differential equations, direction fields, separable differential equations, exponential growth and decay, the logistic equation

Determine whether the integral converges or diverges and evaluate it if it converges:

ſi

1

√x 2 2

dx

J 2

Find g'(x) if

cost

g(x) =

dt

Jn 1+ t2

Find the solution of the differential equation that satisfies:

dy

xy’e”, y(0) =

1

dx

/* cosa o sinº o d

pur

DI

m!

10 wild boars are released inside a forest. Their population grows at a rate proportional to its

size. After 2 years, the population increases to 1000 (one thousand) boars.

(a) (5 pts) Find a formula for the boar population after t years.

(b) (5 pts) After how many years will the population reach 10000 (ten thousand) boars? You may

express your answer in terms of a logarithm.

10 wild boars are released inside a forest. Their population grows at a rate proportional to its

size. After 2 years, the population increases to 1000 (one thousand) boars.

(a) (5 pts) Find a formula for the boar population after t years.

(b) (5 pts) After how many years will the population reach 10000 (ten thousand) boars? You may

express your answer in terms of a logarithm.

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