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Integration by parts method.
Using integration by parts evaluate ∫x cos(3x) dx. Check your answer by taking the derivative. Suppose the mass W of a worm grows according to the differential equation dW/dt = (4t - t2)e -3t with W(0) = 0. When does this worm grow fastest? Find W(2).
How much longer would the worm be at t = 2, if it always grew at the maximum rate? Use Integration by parts.
Consider two cases: one in which the ball is not completely submerged and the other in which it is.
Each of the numbers 0 through 30 is written on a piece of paper and all of the pieces of paper are placed in a hat. One number is selected at random. Determine the probability that the number selected is even.
A rectangle is constructed with its base on the x axis and two of its vertices on the parabola y=16-x^2. what are the dimensions of the rectangle with the maximum area?
evaluate the given expression.nbsp1 evaluate -2x4nbsp- 3x2nbsp 5x - 9nbsp for x 2.2 perform the indicated operation
A bank estimated the interest on the $100 debt from 1835 to 1995 to be $420 million. Find/estimate the interest rate the bank was using for 160 years, assuming interest is compounded annually.
simple pendulum is related to the length L (in feet) of the pendulum by the formula 87t^2=(3.14)^2L. If a child is on a swing with a 10 foot chain, then how long does it take to complete on cycle on the swing?
Find a function that relates dollars to Euros, find a function that relates Euros to yen and what is g(f(1000))?
Each fan gets a free bat, which costs the team $3.25 per bat. How many tickets must be sold for the team to break even on holding a game?
To ensure that funds will be available when needed, there will be a three month overlap period, and net proceeds from the new issue will be invested at 5% in the money market. Skyline's tax rate is 30%. Should the firm refund its existing debt?
Debra drove 430 miles using 18 gallons of gas. At this rate, how many gallons of gas would she need to drive miles 301?
To estimate the proportion p of passengers who had purchased tickets for more than $400 over a year's time, an airline official obtained a random sample of 75. The number of those purchasing tickets for more than $400 was 45.
introductiona cyclic group is a special kind of group that has many similarities with modular arithmetic.taska. prove
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