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A radar gun was used to record the speed of a runner during the first 5 seconds of a race (see the table). Use Simpson's Rule to estimate the distance the runner covered during those 5 seconds.
table:t (s) v (m/s) t (s) v (m/s)0 0 3.0 10.520.5 4.68 3.5 10.681.0 7.35 4.0 10.731.5 8.85 4.5 10.842.0 9.78 5.0 10.842.5 10.27
For each of the following vector spaces, give its dimension and a basis. The set of all symmetric 4 x 4 matrices,
Solve the system with any method - Find which of the given two pairs are solutions for the following system
In one residence, cell phones, lap top computers and digital tvs are very popular among students. In fact, all of the students own atleast one of these items, although onlu 15 own all 3.
A man in rowboat at point P, 150km from the shore, wishes to reach a point B, 600 km down shore, in the shortest amount of time. Where should he land if he can row at 4km/hr and walk at 7km/hr?
The correlation between weekly sales and shelf space.
Let f: [a,b] ----> R and suppose f is integrable with respect to alpha. Prove that for any c in the real numbers, cf is integrable with respect to alpha and the integral from a to b of cf d(alpha) = c times integral from a to b of f d(alpha).
Distinguish between static and dynamic geometry problems. Use dynamic geometry software to create geometric objects. Use dynamic geometry software to reflect, rotate, and translate objects.
Calculate the given quantities if a = , b= , and c= . Determine whether a and b are parallel, perpendicular or neither.
Write a plane equation for plane passing through P (1,2,3) and perpendicular to n = . Write a plane equation for plane passing through P(1, 2, 3), Q(-1,0,1) and R(0,0,1).
Probabilities of deck of cards. A card is drawn from a well-shuffled deck of 52 cards. What is the probability of obtaining a diamond or a card smaller than 5?
What is the total defect rate? I came up with 6%. A randomly selected product was defective. What is the probability that it came from Plant A?
Explain in your own words how the principle of square roots is used to solve quadratic equations. What form must a quadratic equation be in to use the principle of square roots for solving? Demonstrate the process with your own example.
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