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A sound wave is given by the functionf(t) = 0.5e^-2t cos 4t
Write down the first four terms of the power series expansions of e^-2t and cos 4t.
Determine the cubic (up to and including the third power of t) approximation of f(t) and calculate the accurate and approximate values of f(0.02) giving your results correct to 3 decimal places.
What velocity should the bird have (speed is the same) so that the temperature around the bird increase as fast as possible? What is the rate of change of the temperature?
Normal Approximations to Binomial Probabilities, Mathematics Study Centre was established to help students to solve mathematics and statistics problems
Determine for what value of the ball reaches the maximum height and determine this maximum height.
What is the bound of a confidence interval with a width of 13? Report your answer to two decimal place.
How would I calculate the 1 yr forward rates over the next 3 years for spot rates of Yr 1 .050
Calculate the sample proportion, µ for the proportion of offspring peas with yellow pods.
an audio speaker that weighs 50 lbs hangs from the ceiling of a restaurant from two cables. To two decimal places, what is the tension in the two cables?
At what time does the stone hit the ground? C. What is the velocity of the stone when it hits the ground?
Suppose that is invested at an interest rate of per year, compounded continuously. After how many years will the initial investment be doubled? Round your answer to two decimal places.
The population of the Earth is approximately 6 billion people and is growing at an annual rate of 1.9%. Assume the growth follows a Malthusian model. By what factor will the current population of the Earth increase in 119 years? (Round your answer..
this test results prompts a state school administrator to declare that the mean score for the state's eighth graders on the examination is more that 260. at a=0.04 is there enough evidence to support the administators claim?
velocity graph of a car accelerating from rest to a speed of 120 km/h over a period of 30 seconds is shown. Estimate the distance, d traveled during this period. (Use M6 to get the most precise estimate. Round the answer to two decimal places.)
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