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A planet follows an elliptical path described by 16x^(2)+4y^(2)=64. A comet follows the parabolic path y=x^(2)-4. Where might the comet intersect the orbiting planet?
The height and radius of a right circular can are measured as 60 m and 45 m, respectively, with possible errors of 0.1 m. Use differentials to estimate the maximum possible error in the total surface area.
translate the phrase to an algebraic expression Justin had $41 before spending n dollars on jeans. How much money remains?
A support wire is attached to the top of a 150m radio tower. The wire is 190m long. Find the measure to the nearest degree of the angle the wire makes with the ground.
Use the disk method to calculate the volume of the solid shape than will come about as a result of rotating the area bounded by the graphs of y=x^3, y=1, and x=2 about the x-axis.
Ross has just been notified that the combined principal and interest on an amount that he borrowed 21 months ago at 6.4% compounded quarterly is now $3576.07. How much of this amount is principal and how much is interest?
Sunshine Stereo sells cd players. The cd players life is normally distributed with a mean of 2.3 years and a standard deviation of 0.4 years. What is the probability that a cd player will break down during the guarantee period of 2 years?
Ramona is counting the posts between mile markers on the highway. In 1 mile, she counts 33 posts if the posts are evenly spaced, how many feet apart are they?
If the probability of an event is .857, what is the probability that the event will not occur?
A boat traveled 210 miles downstream and back. The trip downstream took 10 hours. The trip backtook 70 hours. What is the speed of the boat in still water? What is the speed of the current?
The Hoover Dam stores water for California, Nevada, and Arizona. Find the total hydrostatic force on the face of the dam when the dam is full. A diagram is given below.
A trip plan involves the selection of a location, ski area, and a time.How many possible plans are there?
In one room of the science fair were six projects, and each project was entered by a pair of students. During the fair, some of the students visited other projects in the room and shook hands with some of the other project entrants.
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