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Quiz 3 - Math 1A, section 106
1. Prove that
limx→2(x2 + x - 6/x - 2) = 5
using the ε, δ definition of a limit.
Write an equation that illustrates this situation. Use the same variables you used in Part a. c. Use elimination to determine how many houses are available in each floor plan. Explain how you arrived at your answer.
Formulate the above as linear programming problem. Solve (a) by graphical method. Solve using simplex method.
f(x)=xlnx find f'(e), in other words, find the derivative of f at x=e
Which of the properties below follow without further restriction on f by applying the Intermediate Value Theorem?A) f^2 (c) is 1/4 for some C in (-2,2)
a spherical balloon is to be felated so that the radius decreases at a rate of 3ft^3/min. How fast is the diameter of the balloon decreasing when the radius is 1ft?
Aki's Bicycle Designs has determined that when x hundred bicycles are built, the average cost per bicycle is given by C(x)= 0.1x^2-1.4x+5.509, where C(x) is in hundreds of dollars. How many bicycles should the shop build to minimize the average co..
In order to achieve maximum aerobic exercise, one should maintain one's heart rate at a certain level. a 40 year old woman with a resting heart rate of 85 beats per minute should keep her heart rate between 142
a ski lift that runs to the top of a hill has a rise of 1/9. The horizonal distance from the bottom of the lift to the center of the mountain is 7000 feet. How hight is the hill?
He takes twice as long at full speed to get back to the dock going against the current. How fast will his fishing boat go?
Allison is saving money to buy a video game system. In the first week, her savings were $8 less than 2/5 the price of the system. In the second week, she saved 50 cents more than 1/2 the price of the system.
A circular spa has a diameter of 12 feet. The spa is decorated with 4-inch porcelain tiles around the rim. How many tiles suround the spa?
Find three positive numbers x, y, and z whose sum is 470 such that xaybzc is a maximum.
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