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A baseball diamond has the shape of a square with sides 90 feet long. A player running from second base to third base at a speed of 28 feet per second is 30 feet from third base. At what rate is the player's distance s from home plate changing?
The mean tuition cost at university though the United State is 4260 per year. Use this value as the population mean and assume that population standard deviation is USD 900. Assume that random sample of so university will be selected. What is the pro..
Find the curve that passes through the points (3, 2) and has the property that if the tangent line is drawn at any point P on the curve, then the part of the tangent line that lies in the first quadrant is bisected at P.
Mike, who is standing on the deck of a yacht that is traveling due west at 6km/h, sees a sailboat sailing southwest at 4km/h, 3 km northwest of the yacht. How close to each other do these boats get?
Evaluate critical points, end points, local extrema and global extrema - Evaluate f at its critical points and at the endpoints of the given interval. Identify local and global maxima and minima of f in the interval.
How many rectangles are there in a line of fifteen squares where sides are lined up with the adjacent sides touching the entire length of the side?
Estimate all the stationary points
Probability, Combinations and Permutations : Sampling Without Replacement, A basket contains 4 black, 2 red, and 5 green marbles. A sample of three marbles is drawn
Let n >= 2 be a number. Define the graph L2(n) as follows: Vertices are ordered pairs from the set {1, ..., n}. Two vertices are adjacent if they have the same first coordinate, or the same second coordinate (but not both).
What is the probability that all four share the same birthday? What is the probability that none of the four shares the same birthday?
Define an intercept in a parabolic graph. What are the number(s) of intercepts a quadratic graph may have? Explain your answer/ diagram etc. How do you compute the intercepts in a quadratic function?
What is the largest domain over which this function is defined? For this domain, what is the corresponding range of the function?
Find the slope of the line that passes through the points (2, 3) and (5, 8). Find the equation of the line that passes through the points (3, -2) and (4, -2). Find the equation, in standard form, with all integer coefficients, of the line perpendicu..
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