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Assignment - Differential Equation: Series Solutions and Systems of Equation
Q1. Solve the system
Q2. Solve the system
Q3. Find the matrix exponential for
Q4. Solve xy'' - xy' + y = 0.
A helicopter used in fighting a forest fire travels at 105 mi/h from the fire to a pond and 70 with water from the pond to the fire.
An open box is to be made from a six inch by six inch square piece of material by cutting equal squares from the corners and turning up the sides. Find the volume of the largest box that can be made
Describe in words the general shape of the graph if A and B have the same sign. What effect does the sign of A have on the graph?
For which values of k are the following vectors u and v orthogonal? Let u,v be orthogonal unit vectors. Prove that d(u,v) = 2^(1/2)
Connie walks from her home to the bicycle repair shop at 6km/h and then bikes home at 20km/h. If the total traveling time is 39 minutes, how far is it from her home to the repair shop?
The written case study paper shall be no longer than 3 pages in length. The case studies shall be based on a real-world ethical situation you.
What conclusions can you reach concerning the benefit programs?
Let m'(A) = inf sum of |M_i| where i is from 1 to infinity, such that A is a subset of M_i. M_i's are disjoint.
Complex numbers. Solve the following, writing the final answer in a+bi form. For part e), there should be no i -term in the denominator, as in, 3/(8-97i) is wrong - note the red i. An i-term in the numerator, like (14-12i)/17 is good.
Suppose the ages of students in Statistics 101 follow a skewed-right distribution with a mean of 23 years and a standard deviation of 3 years. If we randomly sampled 100 students, which of the following statements about the sampling distribution o..
]an artifact is discovered at a certain site. if it has 73% of the carbon 14 it originally contained, what is the approximate age of the artifact? (carbon 14 decays at the rate of .0125% annually)
INVESTMENTS-ASSET ALLOCATION Ashley has earmarked at most $250,000 for investment in three mutual funds: a money market fund, an international equity fund.
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