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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?
Decide whether or not the events are mutually exclusive: Having good reading skills and having good math skills.
Differentiating a function using the product rule and finding the tangent line equation at particular point.
Find the z value to the right of the means so that 53.98% of the area under the curve lies to the left.
Using the definition of a measurable function, show that any constant function is measurable. Definition of a measurable function: the function f is measurable on the interval [a,b] if for all c in R, the set {x in [a,b] : f(x) >c} is measurable.
find the slope, if it exists, of the line containing the pair of pairs. (9,5) and (10, -8)
The time taken by a randomly selected applicant for a morgage to fill out a certain form has a normal distribution with mean value of 10 minutes and standard deviation of 60 minutes
Evaluate the nearest distance between two tunnels using cosine rule. In a mine, two tunnels are dug starting at the same point.
Find the p-value for each of the following hypothesis testing situations.
Matrice operations
how many samples of 3 apples can be drawn from the crate? how many samples of 3 could be drawn in which all 3 are rotten?
Determine the intervals on which 'f ' is concave up and the intervals on which 'f ' is concave down. Find the values of all local minima and local maxima of 'f '. Explain why each value you find is a minimum or a maximum.
Suppose you have 50 American coins totaling exactly $1. This includes at least one quarter, and may contain nickels, dimes, and/or pennies.
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