I found that the limit of the sequence (1+22/n)^n is e^22. I'm told the sequence is bounded because the absolute value of an is < or = to e^22 for all positive integers...

I found that the limit of the sequence (1+22/n)^n is e^22. I'm told the sequence is bounded because the absolute value of an is < or = to e^22 for all positive integers...

Suppose that a spring has a natural length of 20 cm, and that 7 J of work is needed to stretch from a length of 30 cm to 50 cm. How far beyond its natural length will a force of 28 N keep the spring...

how would you find the power series representation of x2ln(3-x) using term by term differentiation or integration?

need to show how you get each coordinates

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?...

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...

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...

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

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

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.

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.

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

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)=1

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

dy/dx | x= 1/4 =?

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...

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