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Find the mass and center of mass of a wire in the shape of a helix x=t,y=cos(t), z=sin(t), 0<t<2pi if the density at any point is equal to the square of the distance from the origin.
The lengths of individual fish in a pond have an approximate Normal distribution with a mean of 18.6 cm and a standard deviation of 6.0 cm. A sample of 36 fish is taken. What is the standard deviation of the sampling distribution of the sample mea..
Please explain how to create a function whose graph has the indicated characteristics for each of a and b
Solve this linear problem graphically and determine optimal quanitities of A, B, and value of Z.
If the temperature range on a certain day was between 25 C and 35 C, what was the temperature range in degrees Fahrenheit? Use the formula Round the answer to the nearest integer.
Explain how complex numbers combine under the following operations
U.C.L.A. states that at least 40% of the students live on campus. From a sample of 250 students, 90 live on campus. Does this sample provide evidence that fewer than 40% live on campus? Conduct the test with a=0.01.
The surface area of this pyramid is 189 The area of the square base is 49. What is the area of one triangular face of the lateral surface? Show the steps of your solution and explain your work.
A bowl is shaped like a hemisphere with a diameter of 60 cm. Water is poured into the bowl to depth of 12 cm. Find the volume of the water in the bowl.
Best Rentals charges a daily fee plus mileage fee for renting its cars. Barney was charged $105 for three days and 300 miles, while Mary was charged $193 for 5 days and 600 miles. What does Best Rental charge per day and per mile?
A machinist can produce 114 parts in 6 minutes .At this rate , how many parts can the machinist produce in 15 minutes.
a) Find the number of permutations of the letters in the word DIPLOMA. b) How many ways are there of arranging the letters of DIPLOMA so that the letters O and I are together?
Evaluate the equation of the standard rectangular hyperbola and equation of the tangent and normal at a point to rectangular Hyperbola
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