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Question: The velocity of the current in a river is c→ = 0.6i→ + 0.8j→ km/hr. A boat moves relative to the water with velocity v→ = 8i→ km/hr.
(a) What is the speed of the boat relative to the riverbed?
(b) What angle does the velocity of the boat relative to the riverbed make with the vector v→? What does this angle tell us in practical terms?
Two competing businesses make the same item and sell it initially for $100. One increases the price by $8 each year for 5 years, and the other increases.
A shipment of 120 computer cases that contains 5 defective cases was sent to an assembly plant. The quality control manager at the assembly plant randomly selects 5 cases and inspects them. What is the probability exactly one case is defective?
Susan has 400 yards of fencing and wishes to enclose a rectangular area. Express the area of the rectangle as a function of the width of the rectangle.
A voltage, V volts, applied to a resistor of R ohms produces an electric current of I amps where V = IR. As the current flows the resistor heats up.
Apply the vector Wiener filter to the simplest problem discussed earlier in the chapter on the BLUE; let N = 1 and assume that c is a random variable.
Use the laws stated in the text to find simpler formulas equivalent to these formulas. Explain the reasoning that you used to find your solution.
As an online shopper (assume that you are even if you've "never bought anything online"), what might you do differently, now that you know Amazon.com or Staples.com may be charging you a higher price based on information retrieved from your PC?
A swimmer floats on the surface of a completely filled 10-foot deep pool for 5 seconds. He then takes 3 seconds to swim to the bottom of the pool and 2 seconds.
Rewrite the following series in summation notation in #s 11 & 12.
explain how to find the perfect square of 329476 without using a calculator step by
a banker invested a portion of $10,000 at 5% interest per year and the remainder at 4% interest per year. if the baker received $470 in interest after 1 year, how much was invested at each rate?
estimate the area under the graph of f(x) = cosx from x=0 to x = bi/2 using four approximating rectangles and right end point. Sketch the graph and the rectangles. Is your estimate an underestimate or an overestimate?
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