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If a = i + 7j + k and b = i + 13j + k , find a unit vector with positive first coordinate orthogonal to both a and b in terms of i, j, and k.
Assuming that the total cost per day, C(x), is linearly related to the total output per day, x, write an equation for the cost function.
Give the general steps for graphing a linear function. Give an example of a linear function and graph it.
Suppose that you purchased (randomly select) 3 laptops from a production run of 10 laptops. Of the 10 laptops, 9 are destined to last at least two years without needing a single repair
We have defined space X to be contractible in two ways: Show that these two definitions are equivalent.
Your company plans to transport 20 horses to a racetrack in Denver. It takes 12 hours to drive from Phoenix to Denver. You have to stop and feed the horses every 2 hours.
Find f'(x) using the appropriate rule and simplify to one expression with positive exponents. Find all values of x, using algebra, where f'(x)=0 (Write your answer with positive exponents)
What are complex numbers? What does imaginary parts of equal magnitude and opposite signs mean? What is the quadratic formula? What is it used for? Provide a useful example.
Description of Probability : Random Selection, Suppose there are two vendors and each provides 50% of the items. The lifetime (in days) of an item from the first vendor is Exp
Does length of the police contact influence perception of the contact?
Probability : Bayes' Theorem, In a survey, it is found that 10 boys out of hundred are in favor of selecting their life partners themselves without any interference by their parents. Where as only 20 girls out of 500 hold this view.
Create an Euler diagram to determine whether the syllogism is valid or invalid: Some nurses are patient.
Perform the operation and make the result in standard form
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