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Qusetion: Use completing the square to solve the given problems.
A surveillance camera is 34 ft on a direct line from an ATM. The camera is 14 ft more to the right of the ATM than it is above the ATM. How far above the ATM is the camera?
If the colored glass transmits only half as much light per square foot as the clear glass does, what are the dimensions of the window that transmits the most light? (The perimeter is still 100 feet.)
Determine the position vector of any point on the line Y A, and hence find the position vector of the point X. Deduce that the shuttlecock cannot land in the shaded area of the court.
Find the values, given the following functions:
A particle has acceleration a(t) = 1 - e^(-t) m/s^2 (meters per second squared) at t seconds. Suppose that the initial velocity of the particle is v0 = 2 m/s and its initial position is x0 = 0 m. Find how far the particle has travelled after 2 s.
What is the maximum height of the arch?
If the test is positive, what is the probability that the person actually has hepatitis? (Round your answer to five decimal places.)
What is your opinion on the following statement: "Might makes right. Poor countries are the prey and we are the sharks. They obviously couldn't develop because they are culturally dysfunctional. Therefore, we are justified in using their cheap labor ..
Give functions f(x) and g(x) with the following properties; (i) lim f(x)=0 (ii) lim g(x)=0 (iii) lim (f(x) / g(x)) = 5
suppose you are going a weekend trip to a city that is d miles away. Develop a model that determines your round-trip gasoline costs. What assumptions or approximations are necessary to treat this model as a deterministic model?
Consider the k-out-of-n system (info on the system: A system consists of n independent components. Each component functions with probability p
Find the points on the boundary where f attains its absolute max and min. What is the absolute max and min of f?
If BPI's founder were to conduct a press conference, what points should he emphasize to the media and convey to the public? Besides a press conference, what other tools might BPI or other firms use to improve the public's opinion of their products?
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