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Suppose that you have 500m of fencing with which to build four adjacent rectangular corrals. What dimensions will maximize the total area of the pen?
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?
By imitating the Dirichlet constructions in Section 4.1 of Abbot, understanding Analysis, how construct a function on R that is differentiable at a single point?
Find the hypothesis
Assume that n is a positive integer. Use the proof by contradiction method to prove: If 7n + 4 is an even integer then n is an even integer.
a building 270 feet tall casts a 70 foot long shadow. if a person stands at the end of the shadow and looks up to the top of the building, what is the angle of the persons eyes to the top of the building (assume 5 feet above ground)
Find an example online of a graph used in real life. Please provide the link to the web page by using the link button in the editor. Describe at least one mathematical feature of the graph
Real time application of perimeter of a circle. To evaluate the distance travelled using the number of rotations.
Which pair has equally likely outcomes? Check the two choices below which have equal probabilities of success. A standard deck of cards has 12 face cards and four Aces (Aces are not face cards).
What is the area of the shaded region below? Assume the hexagon is regular. Use your calculator and round your final answer to the nearest hundredth.
What percentage change in the required sample size would this produce?
If we have 2 groups with 2 characteristics each, what would our critical value be with an alpha of .025?
Matrices are the most common and popular way to solve systems of equations. Provide an example of a matrix that can be solved using Gaussian elimination. Show specifically how row operations can be used to solve the matrix.
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