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1. Find the isosceles triangle of smallest area (Figure) that circumscribes a circle of radius 1 (from Thomas Simpson's The Doctrine and Application of Fluxions, a calculus text that appeared in 1750).
2. A box of volume 72 m3 with a square bottom and no top is constructed out of two different materials. The cost of the bottom is $40/m2 and the cost of the sides is $30/m2. Find the dimensions of the box that minimize total cost.
Explain how the aggregate expenditure function shifts in response to changes in each of the following variables:
in a store they sell measure ordered carpets. the price for the carpet is 295 sek m sup2 and to put edge on the carpet
aml distribution, 2.25% of the area lies to the left of 42 and 2.25% of the area lies to the right of 48. Find the mean and standard deviation.
About 35.9% of all charitable contributions are made to religious organizations. In 2003, about $86.4 billion was given to religious organizations. How much was given to charities in general?
A fire detection sensor is tested for its failure rate and found to have a mean failure rate of 3.6E-2 per hour of exposure with a standard deviation of
How do you determine how many observations to average in a moving average model? How do you determine the weightings to use in a weighted moving average model?
The simple interest formula I=prt gives the interest earned on an investment of p dollars at interest rate r for a time of t years. How much does Leroy need to invest at a rate of 7% in order to earn $420 interest in 4 years?
A certain city block is in the form of a parallelogram. Two of its sides measure 32 ft. and 41 ft. If the area of the land in the block is 656 square feet, what is the length of its longer diagonal?
Let n >= 0 be an integer, and for each 0 R be the function P(x) := the sum from i=0 to n of c_i x^i such a function is known as a polynomial of one variable
Provide two examples of each rounding and truncation
Write Boolean expression & draw the gate logic diagram & typical PLC logic ladder diagram for a control system wherein a fan is to run only when all of the following conditions are met:
Pete walks at the rate 5 ft/sec toward a street light whose lamp is 20 ft above the base of the light. If Pete is 6 ft tall, determine the rate of change of the length of Pete's shadow at the moment he is 24 ft from the base of the lamppost.
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