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Amy plans to paint both sides of a fence whose base is in the xy-plane and is given by the points (x,y) where x = 30cos^3(t) and y = 30sin^3(t) for 0 <= t <= (PI/2), and whose height z at (x,y) is given by z = 1+(1/3)y, all measured in feet. How many gallons of paint will Amy need if a gallon covers 200 ft^2?
Explain how you decide whether it is easier to solve a system by substitution or the elimination method. Response should be detailed and include an example
Modeled the word problem mathematically like system of equations and solve by the matrix method - Determine the augmented matrix that represents the three equations
Evaluate a function on fixed-point iteration will converge to a positive solution of the equation.
The tangent line equation
Calculate the smallest sample size required to estimate the population mean under the following specifications:
A Pasta bar has a build your own pasta option. On this option, the menu lists 4 types of pasta noodles, 6 different vegetable choices, 4 meat choices, 3 cheeses and 3 sauces.
A company that manufactures bicycles has a fixed cost of $ 100,000. It costs $ 100 to produce each bicycle. The selling price per bike is $ 300.
Seven women and nine men are on the faculty in the mathematics department at a school. How many ways are there to select a committee of ?ve members of the department if at least one woman must be on the committee
Find all triples (x, y, z) of real numbers having the following property: when any one of the numbers is added to the product of the other two, the result equals 2.
Prove that f(x) is continuous at every irrational point and discontinuous at every rational point. Show that f is integrable on [0,1]
Find a definite integral that represents the arc length of the curve over the indicated interval and observe that the length cannot be evaluated with the techniques studied so far
For this problem please state the method you used and show the work required to obtain the answer. Find the general solution for each of the systems:
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