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A body starts to move from the origin into the first quadrant along the curve y = ln(sec x) . If its speed is always 3, find x and y as functions of t . Hint: find two equations involving dx/dt and dy/dt and solve for dx/dt
A rectangular field whose length is 10 meters longer than its width is to be enclosed with exactly 100 meters of fencing material. What are the dimensions of the field?
an airpleane is flying at a height of 2 miles above the ground. the distance along the ground form the airplane to the
Create a system of linear equations from my own life. Keep in mind that a system of linear equations will consist of two equations using the same variables and the variables will represent the same thing for both equations
The Decision Sciences department head at a university will be scheduling faculty to teach courses during the coming fall semester.
If the minute hand and the hour hand on the clock both start at 12:00 when will the two hands first coincide? How many times will they coincide in 12 hours
Racing cars driven by Chris and Kelly are side by side at the start of a race. The table shows the velocities of each car (in mph) during the first 10 seconds of the race. Use the Midpoint Rule to estimate how much farther Kelly travels than Chris..
In some chemical reactions, the rate at which the amount of a substance changes with time is proportional to the amount present. For the change of -glucono lactone into gluconic acid, for example, when is measured in hours.
Find the following antiderivatives for each integral
what does the shadow price reflect in a maximization problem? explain. how do the graphical and computer-based methods
Statistics: Populations, Samples, Parameters and Assessing the Mean. The average time before hittin a jackpot at the local casino was estimated by using the average time that it took the first 100 players. Based on this information identify.
If a ball is thrown directly upward with a velocity of 28 ft/s, its height (in feet) after t seconds is given by y = 28t - 16t2. What is the maximum height attained by the ball? (Round your answer to the nearest whole number.)
AT what time during the morning si the worker performing least efficiently
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