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Verify that y1(t) =(1/(t^3)) and y2(t) = (ln(t))/(t^3) are solutions to (t^2)y''+7ty'+9y = 0, t>0. Do y1, y2 for a fundamental set of solutions? Give a reason for your answer and show all steps and calculations.
Suppose the radius of convergence of ∑k≥0 ckzk is R. What is the radius of convergence of each of the following? (a) ∑ k≥0 ckz2k.
jeff jones earns 1200 per week. he is married and claims four withholding allowances. the fica rate is as follows
Let C be a circle with center P and X a point in the exterior of C. Construct the two tangent lines to the circle that pass through X.
A grain silo has a cylindrical shape. Its diameter is16FT , and its height is 47FT . What is the volume of grain that can be stored in the silo?
Show that ~ is an equivalence on M and if a* deontes the equivalence class of a, let M* = {a*| a belongs to M} denote the set of all equivalence classes. Show that a*b* = (ab)* is a well-defined operation on M* deontes.
a password consists of three digits 0 through 9 followed by three letter from an alphabet having 26 letters. if
Determine the unit cost of each product using activity-based costing and the marketing manager indicated that the price of the DIY alternator could not be raised, as it is already somewhat higher than a major competitor's equivalent product.
your are planning to close off a corner of the first quadrant with a line segment 20 units long running from (a,0) to (b,0). Show that the area of the triangle enclosed by the segment is largest when a=b.
If the solid can rest in equilibrium with any point of the curved surface of a hemisphere in contact with the horizontal plane, find the height of the cone in terms of r.
An employee who produces x units per hour earns an hourly wage of y = 0.35x + 11 (in dollars). Find the hourly wage for an employee who produces 2 units per hour.
roadrunners charges $20 per day plus $0.50 per mile to rent the same truck how many miles must be driven in a day to make the rental cost for basic rental a better deal than that for roadrunners
A union strike vote is scheduled for tomorrow, and it looks close. You expect 100 people to vote, and the probability that a typical individual will vote to strike is estimated to be 0.4. Suppose that the voters make their decisions independent from ..
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