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The altitude of a triangle is increasing at a rate of while the area of the triangle is increasing at a rate of At what rate is the base of the triangle changing when the altitude is 10 cm and the area is
Determine the divergence of the volume integral of Q/r^2 r(vector)over the sphere of radius 5 by solving the surface integral.
What are some examples of radical expressions which are simplified? Please provide two examples showing the steps so I can understand.
A bag contains two red marbles, four green ones, one lavender one, three yellows, and five orange marbles. How many sets of five marbles include either the lavender one or exactly one yellow one but not both colors?
dance team knows 18 routines of which 8 are tap, 7 are ballet, and 3 are modern. The program can consist of any four routines. In how many ways can the manager choose which routines to present if there are no restrictions?
determine the steady state response of this system.
Beth, Bill, and Eddie together work 6 hours. Then, Bill and Eddie do it in 9. Beth, Bill, and Eddie work 3 hours together. Beth and Bill spent 6 hours more. How long would it take Beth to do the house by herself? Eddie to do the house by herself? ..
Letting x denote the length of one side of the base, find a function in the variable x giving the cost (in dollars) of constructing the box.
an actor invests some money at 9%, and $27000 more than three times the amount at 10%. The total annual interest earned from the investment is $35850. How much did he invest at each amount?
State whether each of the following fractions is a terminating or repeating decimal. If the decimal terminates, state the number of decimal places and show how you decided.
Find an equation of the line tangent to the curve at the point corresponding to the value of the parameter.
Imagine yourself at a fair playing one of the midway games. Pick a game and calculate the expected value and post your results along with how you calculated them.
A piece of wire is 20 cm long. It is to be cut into two pieces (not necessarily of the same length). One piece is ti be bent into a square and the other into a circle. How should this be done so that the resulting sum of the areas of the two objec..
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