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1. What is the equation of the line through (1, 2) and (3, -1)?
2. What is the vertex of f(x) = x2 - 6x + 3?
3. Using points, straight lines, and possibly the curve of a parabola, construct a piecewise function whose graph looks like a smiling face.
Determine graphically the x-value when y=6 in the given equation. y=3x Choose the plot in which the graph of the given equation intersects the line y=6. The x-value when y=6 is x=?
Write a formula for the derivative, and sketch its graph. (If an answer does not exist, enter DNE.) Is the derivative function continuous at x = 0?
if the feasible region of a linear programming problem is unbounded can we always conclude that the problem is
Assume that f(z) is analytic at the origin and f(0) = first derivative of f at 0 = 0. Prove that f(z) can be written in the form f(z) = [z^2]g(z), where g(z) is analytic at z = 0.
What is the value of y in the parallelogram below? If necessary, round your answer to two decimal places
Find the number of ways to get following card combinations
An amount of $48,000 is borrowed for 14 years at 6.25 interest, compounded annually. If the loan is paid in full at the end of that period, how much must be paid back?
The probability of a couple getting a boy child is 0.55 and getting a girl is 0.65 . If the couple plans to get three children find the probability that all of them are boys.
A random sample of 1001 University of California faculty members taken in December 1995 was asked, "Do you favor or oppose using race, religion, sex, color, ethnicity or national origin as a criterion for admission to the University of California?..
Mocha Crunch Bakery paid its shareholders a dividend of $1.12 per share in the last quarter and $4.25 per share in the last year. The market price per share of Mocha Crunch Bakery is currently $36.59. Calculate the stock's current dividend yield
a man is walking along a straight road. he notices the top of a tower subtending an angle a 60 deg with the ground
How many different 6-letter code words can be formed from the first 8 letters of the alphabet if adjacent letters must be different?
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