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find the center of the mass of a thin plate of constant density covering the region bounded by the x-axis and the curve y=3cosx, x is greater than or equal to -pie/8 and less than or equal to pie/8
The mass of Uranus is about 8.7 x 10^22 metric tons. The mass of the sun is about 1.998 x 10^27 metric tons. About how many times the mass of Uranus is the mass of the sub? Give you answer in scientific notation.
Two friends Dave and Pete often play squash and tennis together. Over the years, they have found that Dave wins 3 out of every 5 rounds of squash and 1 out of every 4 tennis matches
what is the cost of the bond, the annual interest and yield.
Find the velocity of the top of the ladder at time t=2.
Use the mathematical and graphical analyses to determine the equation of the above function if the parabola cross the line y=2x at two points with the x-coordinates 0 and 10. and determine the domain and range of the variables
A motorboat travels 664 km in 8 hours going upstream and 452 km in 4 hours going downstream. What is the rate of the boat in still water and what is the rate of the current?
Describe what cyclic groups are and show that they are abelian. Describe their structure and the structure of their subgroups and factor groups up to isomorphism.
The distance between the building and the pole is 199 ft, and the pole casts a shadow that is 4.5 ft long. How tall is the building?
A father and his son can clean the house together in 4 hours. When the son works alone, it takes him an hour longer to clean than it takes his dad alone. Find how long it takes the son to clean alone.
If voters can choose to leave any item blank, how many different ballots are possible?
A sample of 13 brands of caffeinated coffee had a mean caffeine level of 119.6 mg and a standard deviation of 52.5. The population is normally distributed. Compute a 90% interval for the mean caffeine level.
later flying against the wind, the plane travels 690 miles in 3 hours. find the speed of the plane in still air and the speed of the wind?
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