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A batter hits a baseball 3 ft above the ground toward the center field fence, which is 10 ft high and 400 ft from home plate. The ball leaves the bat with a speed 115 ft/s at angle 50o above the horizontal.
(a) Denote the ball trajectory, r(t) = hx(t), y(t)i, wth respect to time, t. Assuming that t = 0 corresponds to the instant when the ball leaves the bat, what are x(t) and y(t)?
(b) Is it a home run? (Does the ball clear the fence?)
The force exerted by the wind on the sails of a sailboat is Fsail = 340 N north. The water exerts a force of Fkeel = 150 N east. If the boat (including its crew) has a mass of 320 kg, what are the magnitude and direction of its acceleration?
You invested $10,000 in two bank accounts paying 8% and 10% annual interest, respectively. At the end of the year, the total interest from these investments was $940
A manufacturer has a monthly fixed cost of $70,000.00 and a production cost of $17 for each unit produced. The product sells for $25 per unit. Find the break-even point.
You have a rectangular piece of cardboard that you want to fold into a box. It occurs to you that you can cut out an equal square from each corner of the rectangle, make a crease along each side and fold them up.
Eighty percent of all California drivers wear seat belts if three drivers are pulled over what is the probability that all would be wearing their seat belts?
Describe a real world situation that could be modeled by a function that is increasing, then constant, then decreasing. What would be the difficulties associated with modeling this situation?
Find the value of "a" that makes the following function differentiable at x = 2.
A package of frozen strawberries has been taken from the freezer which is at -25 degrees Fahrenheit. Give a formula that gives the temperature of the berriees in terms of time. When will the berries reach 32 degrees?
In this Show You Know Assignment, you will explore the derivatives of the sine and cosine functions but when the angle is measured in degrees. Will the derivative rules stay the same? If so, why? Will the derivative rules change, if so how and why..
A circular swimming pool has a diameter of 20 m, the sides are 3 m high, and the depth of the water is 2.5 m. How much work (in Joules) is required to pump all of the water over the side? (The acceleration due to gravity is 9.8 m/s^2 and the densi..
How many components are necessary to explain 90% of the variance"? Visual- ize the data by a scatter plot of the data projected on the rst two principal components.
The service tax charged by Restaurant ABC is 9%. A family paid RM81 for the service tax. Calculate the total amount payable by the family - Find the domain and range of the functions, explain briefly and sketch the graph.
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