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The cruise-control function on Georgina's car should keep the speed of the car within 3mi/h of the set speed. Write a compound inequality to show the acceptable speed s if the set speed is 55 il/h. graph the solutions.
In the World Series, one National League team and one American League team compete for the title, which is awarded to the first team to win four games. In how many different ways can can the series be completed?
The vertical motion of a mass attached to a spring is described by the initial value problem (1/4)x"+x'+x=0, x(0)=4, x'(0)=2. Determine the maximum vertical displacement of the mass.
suppose a function f is conjugate to a function g by the homeomorphism h. show that g is conjugate to f by the homeomorphism h-inverse. Use the fact that h-inverse is a homeomorphism whenever h is.
A 180-lb person compresses a bathroom scale 0.060 in. If the scale obeys Hooke's law, how much work is done compressing the scale if a 90-lb person stands on it?
Write a goal equation that represents the fluctuations in the production level from May to June, June to July, and July to August.
Janet can shovel her driveway in 30 minutes, Bill can shovel his driveway in 35 minutes. How long would it take if they worked together?
A surveyor fins that a tree on the opposite bank of a river, flowing due east, has a bearing of N 22 degrees 30' E from a certain point and a bearing of N 15 degrees W from a point 400 feet downstream. Find the width of the river.
A swimming pool is 12 meters long ,6 meters wide, 1 meter deep at the shallow end, and 3 meters deepat the deep end. Water is being pumped into thepool at 1/4 cubic meter per minute, and there is 1 meter of waterat the deep end.
The surface is defined by the equation x^2 - 2y^2 + z^2 +yz = 2. Write equations of the tangent plane and normal line to this surface at the point P(2, 1, -1)
How many dozen of each shirt can this company produce in one week assuming that the machines are used to maximum capacity?
A company's costs, in millions of dollars, are given by the equation, C = x2 - 3x - 27, where x is the number of items sold, in thousands. What are the costs when 1,000 items are sold? 1,500 items?
The width of a rectangle is 6 less than twice its length. If the area of the rectangle is 106 cm2, what is the length of the diagonal.
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