Find the function that models the population after t months. Find the population after 9 months. When will the population reach one million mice

Find the function that models the population after t months. Find the population after 9 months. When will the population reach one million mice

an=e(-1/sqrt(n)) Apparently in converges and the limit is 1 but I'm not really sure how to do this type of problem with a limit of ex {n2e-n} Limit converges to 0? How?...

Consider the curve C given by the equation: C · · · √ x + √ y = √ a, where a is a constant, a > 0. Let (x0, y0) with x0 > 0, y0 > 0, be a point on C. If (x1, 0) and (0, y1) are x...

The question asks to estimate the area under the graph given the following table: | x | 2 | 2.5 | 3 | 3.5 | 4 | 4.5 | 5 | | y | 4 | 10 | 8 | 6 | 14 | 10 | 12 | a) Use Simpson's...

Find the limit of the following sequence or determine that the limit does not exist. Prove if it is monotonic, or bounded. {n sin(7/n)} Thank you

A ball drops from a height of 20 feet. Each time it hits the ground, it bounces up 40 percents of the height it fall. Assume it goes on forever, find the total distance it travels.

Given any Cartesian coordinates, (x,y), there are polar coordinates (r,θ) with (-pie/2) < θ ≤ (pie/2). Find polar coordinates with (-pie/2) < θ ≤ (pie/2) for the following...

The curve is y=7/sqrt(7x-x^2) ; x1=0.75 , x2=6 Need an exact answer

i need to turn xy = yx into a y = version so that i can take its derivative. how would i go about this?

Full working out please

I think that i need to use a maclaurin series, but i dont understand how to go about this, if anyway could help, i would appreciate.

dy/dx | x= 1/4 =?

For my homework i am to write 5^x^3 as a power of e. how do i go about doing this?

Calculate the Laplace Transform of the function f(t)=0

Calculate the Laplace Transform of the function f(t)=1

I'm given the hint: "Make a substitution before using partial fraction decomposition". edit: squared the denomenator

Find the interval of convergence of the power series. (Be sure to include a check for convergence at the endpoints of the interval. If the interval of convergence is an interval, enter your answer...

Consider the trapezoidal tank below with bottom length 4 m, top length 12 m, width 5 m, and height 4 m. It is lled with water, which has a density of 1000 kg/m3. Water is pumped out of a 1 m spout...

∫(x^2)/((16-x^2)^(3/2))dx I keep on getting the wrong answer.

∫(√x^2-81)/(x^4)dx I can't seem to figure out this problem. Please help.