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Jason runs 1 mile, then he runs 1/2 miles more, then he run 1/4 mile more, and so on. If he continues this process indefinitely, how far will he run? will he ever pass the three miles down the road. Write the answers in complete sentences.
At what rate (in3 in) does the volume change with respect to the radius when r = 6 in? Using the rate from part a, by approximately how much does the volume increase when the radius changes from 6 to 6.2 in?
you can earn 5% per year compounded annually for the next 4 years, followed by 8% per year compounded quarterly for 5 years. What is the average annual compounded rate of return over the 9 year period? Express your answer with monthly compounding.
find parametric equations for the tangent line to the curve with the given parametric equations, x=2cost, y=2sint, z=4cos2t, at the specified point (sqrt(3),1,2)
23% of the seniors at a high school failed pre-calculus. If 1138 students failed pre-calculus, how many seniors are at this high school?
Evaluate the integral using a) the trapezoidal rule with four panels, b) Simpson's rule with four panels
Young's double-slit experiment is performed with 589nm light and a distance of 2m between the slits and the screen. The tenth interference minimum is observed 7.26mm from the central maximum. Determine the spacing of the slits.
The product of 10 and a number, plus 12 is 52. What is the number? (Be sure to type only the number in the answer blank. No variables or words.)
Set up a system of linear equations to describe the following problem and solve the system using one of the methods discussed this week. At the end of the year, a business has made a profit of $151,000.
Calculus: Most people have a body density between .95 and 1.05 times the density of water which is 62.5 pounds per cubic foot. Use your weight to estimate the volume of your body.
A tissue culture grows until it has an area of 9 cm^2. A(t) is the area of the tissue at time t. One model for the growth rate is A'(t)=k*sqrt(A(t))*(9-A(t)) for some constant k. The number of cells on the edge is proportional to sqrt(A(t)) and mo..
Prove that there exist real numbers which are not algebraic.
Probability distribution of a random variable Let x determine a random variable, and user your knowledge of probability to prepare a probability distribution.
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