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A swimming pool is 16 feet wide and has transverse cross-sections which look like: If the pool is being filled at a rate of 1.1 cubic feet per minute, how fast is the water level rising when the depth of water is 2 feet?
A company is constructing an open-top, square-based, rectangular metal tank that will have a volume of 46.5ft^3. What dimensions yield the minimum surface area? Round to the nearest tenth, if necessary.
A consumer information magazine estimates that the real juice content of several drinks sold as snack drinks for children was 79.5% in 1999, compared to 86.25% in 1998.
Important information about Find the probabilities, Suppose a family plans 6 children, and the probability that a particular child is a girl is ½.
Two earthquakes differ by .1 when measured on the Richter scale. How would the seismographic readings differ at the distance of 100 km from the epicenter?
Find an equation of the tangent to the curve at the given point by both eliminating the parameter and without eliminating the parameter.
Validity of arguments using Euler circles - Evaluate the validity of the next arguments by using Euler circles, then translate the statements into logical statements using the basic connectives and using truth tables, determine the validity of the ..
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Complex problems
Discuss the difference in appearance of a graph of an equation and a graph of an inequality.
Prove that there is a bijection from the open interval (0, 1) to the half-open interval (0, 1].
How many different trains of white (1x1) and/or red (1x2) rods are there of a given length N? Find at least 2 ways to justify your solution
You are standing on a hotel balcony 30 feet up from the ground. You want to throw your key to someone standing outside the hotel on the ground. You throw it angled upward with an initial velocity of 55 ft/sec. Assume that the acceleration due to g..
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