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1. A cylindrical package to be sent by mail can have a maximum combined length and girth (perimeter of a cross section) of 147 inches. Find the dimensions of the package of maximum volume that can be sent. (The cross section is circular.)
2. Consider the following function.
f(x) = 2x3 + 6x2 - 90x
(a) Find the critical numbers of f.
(b) Find the open intervals on which the function is increasing or decreasing. (Enter your answers using interval notation. If an answer does not exist, enter DNE.)(c) Apply the First Derivative Test to identify the relative extremum. (If an answer does not exist, enter DNE.)
a metal sculptor has a solid bronze sphere with a radius of 10 inches. She melts the sphere and casts a hollow sphere with an inner radius of 10 inches. What is the thickness of the shell of the hollow sphere?
Optain the academic standards for kindergarten for three states (available on state education websites). Compare the standards in a single category such as math or reading and describe how the standards are similar or different across the states.
Convert the rectangular point (x, y, z) = (3√3, 3, 4) into cylindrical (r, θ, z). Convert the spherical point (ρ, θ, Φ) = (10, π/2, π/6) into rectangular (x, y, z).
Lucky Charms has one of six different watches for prizes inside their box of cereal. If you were to purchase 60 boxes, what are the chances that you will collect all six?
according to a financial monthly disability causes 48 of all mortgage foreclosures.nbsp given that 20 foreclosures were
Suppose that a license plate must contain a sequence of two-letters followed by four-digits, or three-letters followed by three-digits.
building is 133 feet tall. For a class project, Kari is to make a scale model of the building to place in the front hall display case. The display case is 17 inches tall. Which scale will allow her to make the tallest model that will fit in the di..
an experiment consists of 4 tosses of a coin.denoting the outcomes HHTH,THTT,and assuming that all 16 outcomes are equally likely, find the probability distribution for the total number of heads.
Let A and B be subsets of a universal set U and suppose n(U) = 360, n(A) = 140, n(B) = 70, and n(A B) = 40. Find the number of elements in the set.
What are the dimensions (length and witdth) of the slice? What is the radius of rotation for the slice? Sketch the graph of the region R. Include a slice that shows how the integral in Problem 3 was set up.
Linear programming model of a media selection problem is used to determine the relative value of each advertising media.
a. Make a scatter graph of the data with a trendline, equation, and R2 value. Copy and paste your graph here.
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