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A man rows a boat 490 feet upstream against a constant current in 14 minutes. He then rows 315 feet downstream (with the same current) in 7 minutes. Find the speed of the current and the equivalent rate at which he can row in still water.
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A stationery company sells two types of notepads to college bookstores, the first wholesaling for 40¢ and the second for 80¢. The company receives an order for 580 notepads, together with a check for $328. If the order fails to specify the number of each type, how should the company fill the order?
Find the maximum margin separating hyperplane by solving the dual lagrangian constrained optimization problem. What is the value of the margin?
A single-loop negative feedback system has a loop transfer function. Determine the range of the gain K for which the system is stable.
Probability of guessing four correct out 20 multiple choices, If a student randomly guesses at 20 multiple-choice questions, what is the probability that the student gets exactly four correct?
Sketch the Fourier series of f(x) on the given interval - Sketch the Fourier series
For each of the following vector spaces, give its dimension and a basis. The set of all symmetric 4 x 4 matrices,
The included angle of the two sides of contant equal length s of an isosceles triangle is Z degrees. Show that the area of the triangle is given by A = 1/2s^2 sin Z
Is there a point at which your investment appears to grow more quickly? What can you conclude about the affect of time on your retirement plans?
Use taylor series expansion to find the given variables.
Prove that the mapping a(g) = g^-1 for all g in G is an automorphism if and only if G is Abelian. An isomorphism from a group G onto itself is called an automorphism of G.
In a percent change graph of an average teachers annual salary the bars representing successive years are either unchanged or decreasing in size.
Find the equation of horizontal and vertical asymptote of given functions - Find the equations for the horizontal and vertical asymptotes
This assignment has two question related to maths. Questions are related to bifurcation cascade and logistic map.
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