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A dock is 6 feet above water. Suppose you stand on the edge of the dock and pull a rope attached to a boat at the constant rate of 2 ft/s. Assume that the boat remains at water level. At what speed is the boat approaching the dock when it is 20 feet from the dock? 10 feet from the dock?
Bob owns a watch repair shop. He has found that the cost of operating his shop is given by C(x) = 4x2-296x+85 , where c is cost and x is the number of watches repaired. How many watches must he repair to have the lowest cost?
How to clarify a rotated conic section - how linear transformations can be used to study rotated conic sections. Your essay should include
Calculation of Probability - Normal Distribution - find the probability that a randomly selected employee
Only two pupils take all the four subjects. Draw a Venn diagram and use it to find how many pupils take neither Physics nor Chemistry.
Suppose that f_n(0) converges to some number, denoted f(0), and also suppose that the sequence (f'_n) converges uniformly on (0,1) to some function g: (0,1) -> R. Prove that the sequence (f_n) converges uniformly. What is its limit?
Evaluate the average value and RMS value of the given function - Find the average value of the function i = 15(1-e (-1/2)t ) from t = 0 to t= 4.
Find the probability of making a Type II error.
The monthly cost of driving a car depends on the number of miles driven. Lynn found that in May it cost her $380 to drive 480 mi and in June it cost her $460 to drive 800 mi.
The problem states: Find dw/dt (a) using the appropriate chain rule and (b) by converting w to a function of t before differentiating.
Natasha and Allison are playing a tennis match where the winner must win 2 sets in order to win the match.
Evaluate the area of the rectangle - Write a polynomial that represents the area.
Create a system of linear equations from my own life. Keep in mind that a system of linear equations will consist of two equations using the same variables and the variables will represent the same thing for both equations
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