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NASA launches a rocket at t = 0 seconds. Its height, in meters above sea-level, as a function of time is given by h(t) = -4.9t^2 + 97t + 332.
Assuming that the rocket will splash down into the ocean, at what time does splashdown occur?
A stone is dropped from a high cliff and falls with velocity v = 32t feet per second. How many feet does the stone travel during the first 3 seconds?
A spring with a 2 kg mass attached to it has spring constant 8 N/m and no damping. There is an external force given by F(t) = 24 sin 2t N, where t is time. The mass is initially stretched 2 m beyond the equilibrium position and released with an in..
The probability that an individual is left-handed is 0.1. In a class of 30 students, what is the probability of finding at least five left-handers?
In Example 3 of Section 2.5, the text shows how to write a system of linear equations using matrix notation. You can similarly write a linear programming problem in matrix notation.
Evaluate the integral: Where E is the tetrahedron enclosed by the coordinate planes x=0, y=0, z=0 and the plane 2x + y + z = 4.
a man has $34,000 to invest. he invests some at 5% and some at 4%. his total annual interest income is %1,545. find the amount he invests at each rate.
Given that the second light is yellow, find the probability that the first light was red.
A golf bag contains 6 white balls and 8 yellow balls. What is the probability of each event?
An electronic store receives a shipment of 30 graphing calculators, including 6 that are defective. Four of these calculators are selected to be sent to a local high school. How many selections can be made? How many of this selections will contain..
Explain the concept of inverse variation. Provide two examples. What is the vertical asymptote for the function y = ( x^2 - 4) / ( x - 2 )?
What is the probability that a randomly selected ball bearing has a diameter greater than 8.1 millimeters?
Find the height of the flag pole from the word problem and determine the total number of student-tickets sold from given word problem
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