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Use chain rule to verify that every function of the form
y = a sin (5t) + b cos (5t)
is a solution to the differential equation
d^2y/dt^2 = -25y.
Then use this fact to find the solution which also satisfies the initial conditions:
y(0) = 3 and y'(0) = 0
(^ means exponent and d^2y is over dt^2)
Probability of drawing the following card. One card is drawn from an ordinary deck of 52 cards. Find the probability of drawing the following card
Timmy enjoys playing old-fashioned video games. He found 3 game systems on eBay and wants to purchase a Nintendo game system, an Atari game system, and a Sega arcade game system.
Two trains are driving towards each other .One at 144 km/h and the other at 72 km/h When they see each other they start to brake at 1 m/ss. There is 950m between them
Jack and Jill ran a 200 meter race. Jill ran the race in 25 seconds and won by 5 meters; that is Jack had run only 195 meters when Jill crossed the finish line.
A can company reports that there were 3 breakdowns on its machine operator assembly line in the last thirty days. What is the probability that there will be more than two breakdowns tomorrow
Suppose G is a finite group with the property that every non-identity element has prime order (D3 and D5 are examples of groups with this property).
Possibility of selecting an executive committee, A city council with nine members must elect a 4 person executive committee consisting of a mayor
Compute the mean and variance for binomial distribution. Calculate the mean and standard deviation (by hand) for the binomial distribution with the probability of a success being 1/4, 1/2, 3/4.
What type of solution do you get for quadratic equations where D
Explain what the index of a subgroup and a coset of a group are. Also, prove that if N is a subgroup of a group G such that [G: N] = 2, and if "a" and "b" are elements of G,
Use linear approximation, the tangent line approximation, to approximate the following: Note: the correct answer are different from the calculator computed values
Suppose that X1=-1, x2=2, x3=4, x4=-3 is a solution of a non-homogeneous linear system Ax = b and that the solution set of the homogeneous system Ax=0 is given by the formulas:
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