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A rectangular field with a perimeter of 32 feet must have an area of at least 60 square feet (or possibly more). What are the possible values for the length of one side so that both conditions are met? Express your answer in interval notation.
What is the probability that among the 12 months of the year there are 3 non necessarily consecutive months containing exactly 4 birthdays?
The width of a rectangular swimming pool is 10 feet less than the length of the swimming pool. The surface area of the pool is 600 square feet. What are the length and the width of the pool. You must know the formula for area of a rectangle in ord..
A chemist need 180 milliliters of a 40% solution but has only 28% and 46% solutions available. Find how many mililiters of the 46% solution you will need to get the desired solution.
t an altitude of 8 miles and passes directly over a radar antenna. When the plane has a distance 10 miles from the radar, the radar detects that the distance in increasing at a rate of 300 miles/hour. What is the speed of the plane?
Calculate the derivative of trigonometric function.
a ski lift that runs to the top of a hill has a rise of 1/9. The horizonal distance from the bottom of the lift to the center of the mountain is 7000 feet. How hight is the hill?
dance team knows 18 routines of which 8 are tap, 7 are ballet, and 3 are modern. The program can consist of any four routines. In how many ways can the manager choose which routines to present if there are no restrictions?
How much wire should be used for the circle in order to maximize the total area?
Solve the equations i. 6sinh theta - 4cosh theta-3=0 correct to 3 decimal places
A hemisphere of radius 7 sits on a horizontal plane. A cylinder stands with its axis vertical, the center of its base at the center of the sphere, and its top circular rim touching the hemisphere. Find the radius and height of the cylinder of maxi..
A rectangular field is five times as long as it is wide. If the perimeter of the field is 288 yards, what are the field's dimensions?
Analyze the stability of the fixed points of linear differential systems. Provide several explicit examples, with graphical illustrations
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