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Determine the form of a particular solution for the differential equation. ( Do not evaluate coefficients).
y''+3y'-7y= t^(4)e^(t)
Calculate the change in the odds of CHD in males for each additional time they exercise on average each week.
A popular flashlight that uses two D-size batteries was selected, and several of the same models were purchased to test the "continuous-use life" of D batteries. As fresh batteries were installed, each flashlight was turned on and the time noted.
Evaluate the iterated integral. Evaluate the double integral
Claire sells packets of sunflower seeds for $0.95 each and packets of morning glory seeds for $1.43 each. She decides to offer a 16-packet spring-garden combination, combining both types of seeds at $1.10 per packet.
Assume S is a subset of the complex number set. Please make the explanations clear and give examples.
A number (a) is called a fixed point of a function (f) if f(a)=a. Prove that, if f'(x) does NOT equal 1 for all real numbers (x), then f has at most one fixed point.
Joint frequency table which summarizes voting trends in the most recent Presidential election, Suppose a deck of 10 cards each with a different digit from 0-9 are shuffled and a card from the top of the deck is drawn.
Make a ninety percent confidence interval for the proportion.
Let f be a surjection. Then f is an isomorphism iff the order of the element f(a) is equal to the order of the element a , for all a belong to G.
Suppose that two of her friends (of the 14 of either gender) do not like each other. If one of the two is invited, the other will not come to the party. How many ways are there to invite 8 people to the party. Explain.
The Telektronic Company purchases large shipments of fluorescent bulbs and uses this acceptance sampling plan: Randomly select and test 24 bulbs, then accept the whole batch if there is only one or none that doesn't work
If {Phi_0, Phi_1, ..., Phi_n,...} are orthogonal polynomials in which are normalised to be monic (i.e. have leading coefficient equal to 1) show that ||Phi_k||
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