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Question: 1. Find the equation of the tangent line to f(x) = x2 + x at x = 3. Sketch the function and this tangent line.
2. Estimate the instantaneous rate of change of the function f(x) = x ln x at x = 1 and at x = 2. What do these values suggest about the concavity of the graph between 1 and 2?
If it takes the doctor 80 minutes to prepare a tooth for a crown, and 30 minutes to seat the crown and the fee for the crown is $550, what does the doctor produce per hour?
Choose one of the following artists for an examination of their stylistic development into abstraction:
A rancher wants to use 200 feet of fencing to enclosed a rectangular are of 1600 square feet. What dimensions should the rectangle be?
rodrigo paid for his bottle of juice with 1.25 in coins. if he used all 11 coins in his pocket what is a possible
FINANCIAL PLANNING Matt's parents have agreed to contribute $250/month toward the rent for his apartment in his junior year in college.
Suppose one mass is held fixed at the point (1,0) on the x-axis (units in meters). How much work is required to move a second mass along the x-axis from the point (-1,0) to the origin?
The vice president of business services at Prescott College (PC) is worried about the future of her on campus bookstore. The 25 year old college has operated its own bookstore for its entire history, but now finds that it may have to contract out..
A plane is 200 miles west of city? A, and is flying west at 400 miles per hour. How long will it take for the plane to be 1620 miles west of city? A?
[Applied Combinatorics]Give an example of a non-planar graph with 7 vertices and prove it is indeed non-planar.
Similarly, one additional unit will be occupied for each 6 dollar decrease in rent. What rent should the manager charge to maximize revenue.
An airplane flying at an altitude of 6 miles passes directly over a radar antenna. When the airplane is 10 miles away (s = 10), the radar detects that the distance s is changing at a rate of 250 miles per hour. What is the speed of the airplane?
The temperatures felt by the body as a result of the wind-chill factor for an outside temperature of 20 °f (as determined by the National Weather Service).
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