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Suppose that 450 ft of fencing is used to enclose a corral in the shape of a rectangle with a semicircle whose diameter is a side of the rectangle. (In the figure below, the blue outline represents the fencing.) Find the dimensions of the corral with maximum area.
trapezoid has an area of 80.75 sq. in., and its two bases are 7 and 12 inches long. find the height of the trapezoid.
Apply the product limit method to determine the survival function
Air is being pumped into a spherical balloon at a rate of 20 cubic feet per second. At what rate is the radius of the balloon increasing at the instant when the radius equals 15 feet?
A bullet of mass 0.04 kg travelling at 300 m/s hits a fixed wooden block and penetrates a distance of 4cm. Find the average resistance of the wood.
Connie walks from her home to the bicycle repair shop at 6km/h and then bikes home at 20km/h. If the total traveling time is 39 minutes, how far is it from her home to the repair shop?
Alice's Restaurant has a total of 205 seats. The number of seats in the non-smoking section is 73 more than twice the number of seats in the smoking section. How many seats are in each section? Please show work.
During the first part of a trip,a canoeist travels 41 miles at a certain speed. The canoeist travels 4 miles on the second part of the trip at a speed 5mph slower. The total time for the trip is 5 hours. What was the speed on each part of the trip..
How much will he have to deposit into the account each month in order to reach this target after 25 years? (Give your answer, in dollars, correct to the nearest cent.)
What was the average gas mileage obtained by each car in a family there are two cars. The sum of the average miles per gallon obtained by the two cars in a particular week is 50.
Find the constant of variation and write an equation of direct variation -
Important information about Probability with dice, You roll a dice twice. What is the probability that you will roll each of the following pairs of numbers.
Let C be the line segment form P(1,0,2) to Q(-2,3,1), and let F be the force given by F(x,y,z)= 2zi - yj + 2xk. Find the work done by F in moving a particle along C.
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