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1. Assume that you want to find the dimensions of a rectangular garden of 100 square meters for which the amount of fencing needed to surround the garden is as small as possible. Draw a picture of a rectangle and select appropriate letters for dimensions.
2. Determine the objective function.
3. Determine the constraint function.
4. Find the optimal values for the dimensions.
He decided that next time, he will get an enlarged tub that is similar, but has a linear scale factor of 1.5. How many kernels of popcorn should the enlarged tub hold?
Find all the xed points, and study their stability and Draw the phase portrait of the system, as well as the graphs of the solutions in all relevant cases.
a farmer has 400 feet of fence with which to fence a rectangular plot of land. the plot lies along a river so that only three sides need to be fenced. estimate the largest area that can be fenced.
If an open box has a square base and a volume of 96 in. and is constructed from a tin sheet, find the dimensions of the box, assuming a minimum amount of material is used in its construction.
1. give a counter example and then prove why i.e. a metric space and a sequence that disproves the claim every cauchy
question1 the industry standards suggest that eleven percent of new vehicles require warranty service within the 1st
A small restaurant was purchased for $407,000 with no down payment and a 6% loan for 20 years. Find the monthly payment.
Write an expression that illustrates the total cost of all baked goods in the scenario above using the variable s to represent the cost of scones and the variable c to represent the cost of cookies.
A particle starts at the point (-2,0), moves along the x-axis to (2,0), and then along the semicircle y= squareroot(4 - x^2) to the starting point.
A train travels 120 km in the same time that a plane covers 420 km. If the speed of the plane is 40 km per hr less than 4 times the speed of the train, find both speeds.
Let A be a n × n orthogonal matrix.What are the possible values for det(A)?
Determine the constraints and evaluate maximum or minimum value using Linear Programming Method - How many days should each plant operate to produce 2000 of each part and keep operating costs at a minimum?
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