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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.
The length of the red line segment is 12, and the length of the blue line segment is 4. How long is the transverse axis?
In a large study of 1000 entries, 40 errors were found. Does the data support the null hypothesis based upon this experience?
Provide a logical explanation for this relationship (Hint: consider n objects as consisting of n-1 existing objects plus a new nth object.
A triangle with base 3 m and height 5 m is submerged vertically in water so that the tip is even with the surface. Express the hydrostatic force against one side of the plate as an integral and evaluate it.
A bag contains 5 yellow marbles, 16 green marbles, and 2 red marbles. What is the chance of drawing a yellow marble? If a yellow marble is drawn the first time and then a second marble is drawn without replacement
The circumference of a sphere was measured to be 73000 cm with a possible error of 050000 cm. Use linear approximation to estimate the maximum error in the calculated surface area. Estimate the relative error in the calculated surface area.
a rancher wishes to enclose a rectangular corral with 320 feet of fencing. the fencing only required 3 sides because of an existing wall. what are the dimensions of the corral of maximum area?
An oil tank is shaoed like a right circular cylinder of diameter 4 ft. Find the total fluid force against one end when the axis is horizontal and the tank is half filled with oil of weight density 50 lb/ft^3.
evaluate to five decimal places using a calculator
Evaluate the line integral, where C is the given curve. (Round your answer to one decimal place.)
Probability of Defective Resistors: DeMoivre-Laplace Theorem, A manufacturer of electronic equipment buys 900 resistors for which the probability of any single resistor being defective is p = 0.01.
A sample of 13 brands of caffeinated coffee had a mean caffeine level of 119.6 mg and a standard deviation of 52.5. The population is normally distributed. Compute a 90% interval for the mean caffeine level.
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