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1. Show that y=2*e^(5x)+4x is a solution to the differential equation y'-5y=4-20x2. Determine eventual max, min and saddle points in the function f(x)=x^3-6x^2-15x+243. Determine the biggest and smallest value of teh function y=cos(x)+x*sin(x) in the interval 0=x=2*pi. An exact answer is needed.
A certain service station uses a team of 3 mechanics in one repair station to work on each car that needs repair. This team can repair cars at a rate of 9 per day.
a paint mixture contains 7 gallons of base for every gallon of color. In 208 gallons of paint, how many gallons of color are there?
Assume the distribution of food expenditures for the family of four follows the normal distribution, with a mean of $490 and standard deviation of $90.
Probability. A grab bag contains 10 $1 prizes, 7 $5 prizes, and 5 $20 prizes. Three prizes are chosen at random. Find the following probabilities.
Find the volume V of water in the bowl. Consider two cases: one in which the ball is not completely submerged and the other in which it is.
You see a distant flash of lightning, and then you hear a thunderclap 2 s later. The sound of the thunder moves at 343 m/s.
A rectangular park measures 300 ft by 400 ft. A sidewalk runs diagonally from one corner to the opposite corner. Find the length of the sidewalk.
which company is cheaper and by how much per minute?
A random sample of size 25 is taken from a normal population having a mean of 80 and a standard deviation of 5. A second random sample of size 36 is taken from a different normal population having a mean of 75 and a standard deviation of 3.
What is the correct conclusion for this hypothesis test?
The recycling company announce that it will lower the price,starting immediately ,by $0,15 per hundred pounds per day .The scouts can make only one trip to the recycling center.Find the best time for trip.What total income will be recived?
building is 133 feet tall. For a class project, Kari is to make a scale model of the building to place in the front hall display case. The display case is 17 inches tall. Which scale will allow her to make the tallest model that will fit in the di..
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