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Compute the general solutions of the following ordinary differential equation:
y" +7y = sin(x)
using method of undetermined coefficients.
The surface area of a pyramid is 189cm squared. The area of the sq base is 49cm squared. What is the area of one triangular face of the lateral surface?
How do you find the surface area of a rectangular prism if the top is 5 the side is x+6 and the bottom is 2x-1?
What is the difference between prime numbers and composite numbers? How are prime numbers and composite numbers related? Prime numbers are often used in cryptography.
A farmer wants to set aside a rectangular plot of land to contain 580 square meters. If the width is 19 less than the length, find the dimensions of the plot.
An election with 4 candidates (A, B, C, and D) and 132 voters is to be decided using the plurality method. After 120 ballots have been recorded, A has 26 votes, B has 18 votes, C has 42 votes, and D has 34 votes. What is the smallest number of the..
A plane is heading due south with an air speed of 288 mph. A wind from a direction of 58° is blowing at 20 mph. Find the bearing of the plane.
Find the distance of the ship from the lighthouse.
Show that if 7 integers are selected from the first 10 positive integers there must be at least 2 pairs of these integers with the sum 11
Find the value of the integral of g(z) around the circle |z - i| = 2 in the positive section when g(z) = 1/(z^2+4)
Draw a tree diagram that illustrates the following. Three-fifths of kindergarten children are bussed to school, while two-fifths of the first to fifth graders are bussed.
an empty water tank is being filled by a pump. after 2 mins the tank contains 125 gallons. if the volume of water in the tank varies directly as the time the water is pumped, find k and rewrite an equation to show the relationship.
at which time 10 of the patients still have gonorrhea. Calculate the 95% confidence interval for p, which is the probability of being cured.
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