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Consider the picture(attached) if the point Q is on the shoreline rather than 1 mile inland.
a) Write the Travel time T as a function of a.
b)Use the result of part (a) to find the minimum time to reach Q.
c)The man can row at v1 miles per hour and walk at v2 miles per hour. Write the time T as a function of a. show that the critical number of T depends only on v1 and v2 and not on the distances.
d)Describe how to apply the result (c) to minimizing the cost constructing a power transmission cable tat costs c1 dollars per mile under water and c2 dollars per mile over land.
Find the ending balance in an account that opens with $6,610, earns 10.5% interest compounded monthly, and is held for 5 years. (Round your answer to the nearest cent.)
Find the Euler's method to determine the first three approximations to the given initial value problem
suppose one test item was molded from a single batch of plastic and the hardness of this item was measured at 16 different points in time. Discuss the effect of conducting the described experiment on the error term.
Determine the linear correlation coefficient using x = HP and y = MPG. Perform the hypothesis test of rho to determine whether horsepower and gasoline mileage are negatively correlated at the one percent level of significance? [For the critical value..
By looking at two linear equations, how can you tell that the corresponding lines are parallel, the same graph, or intersecting lines? How many solutions does each possibility have and why is that? Show examples for each possible situation.
Work out what constraints in a maximum entropy problem will give rise to the true inverse Gaussian distribution.
Construct a stem and leaf plot of the data.
Write one or two paragraphs comparing and contrasting all methods of solving systems of linear equations with two variables. Explain which method you prefer and why.
Show that the mass, momentum, and energy are constants of motion (invariants) for the KdV equation by direct differentiation with respect to time.
Suppose that f: C->C and that f is analytic at a point z0 element of C. Prove that there exists a real number r>0 such that, the nth derivative of z0=[n!/(2 pi r^n)]x[int(e^(-niy)f(z0+re^(iy)) from 0 to 2pi with respect to y for all n element of N..
Evaluate the number of license plate from the given data - how many different groups of 4 are made up of 2 boys and 2 girls?
A company owns 300 laptops. Each laptop has an 7% probability of not working. You randomly select 20 laptops for your salespeople.
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