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a) Find the exact value of the following infinite sum:
∑∞n=0 3^(n-1)/(π^n) ?
b) Find the sum of the following geometric series:
∑∞n=5 1/(3^n) ?
what is the ratio of the value of a sphere and a cone with the base diameter and altitude of the cone equal to the
out of 500 randomly chosen grocery shoppers, 320 like cheerios and 380 like total. 275 of the grocery shoppers liked both cheerios and total.
A ship starting 400 nautical miles from port travels at a speed of 27 knots or less. How long does the trip to port take? Hint : A trip may take more time if the ship travels slower than its top speed of 27 knots.
Over the years one state has used different combinations of letters of the alphabet and digits on its automobile license plates. At one time, license plates were issued that consisted of three letters followed by three digits. How many different l..
Standing at a crosswalk, you hear a frequency of 570 Hz from the siren of an approaching ambulance. After the ambulance passes, the observed frequency of the siren is 488 Hz. Determine the ambulance's speed from these observations.
When choosing what kind of graph to use, there are three basic choices; line graphs, bar graphs, and pie charts. Search the internet for a situation where choosing the right type of graph to represent the information is important. Explain in a we..
z = x + iy f(z) = u(z) + iv(z) Given Re(f) = u A) use laplacian to find out if f can be made an analytic function, with suitable choice for v B) if the answer to A is yes, find v and f' If the answer to A is no, assume v = 0 and find where (if anywhe..
The Green Paddle has a cost of equity of 13.73 percent and a pre-tax cost of debt of 7.6 percent. the debt-equity ratio is 0.65 and the tax rate is 32 percent. What is green paddle's unlevered cost of capital?
Formulate a linear programming model for this problem. Solve the model by using graphical analysis (Do not round the answers) and How much labor and wood will be unused if the optimal numbers of chairs and tables are produced
What sample size would the economist need to use if he wants a 95% confidence interval no wider than plus or minus $100?
a trough is 10 feet long and its ends have the shape of isosceles triangles that are 3 feet across at the top and have a height of 1 foot. if the trough id being filled with water at a rate of 12ft3/min, how fast is the water level rising when the..
1 consider the curvex t4 - 2t y t t4.a graph the curve using a computational software package.b use your graph to
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