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1) (a) Show that the equation of the tangent line to the parabola
y2 = 4px at the point (x0, y0) can be written as
y0y = 2p(x + x0)
(b) What is the x-intercept of this tangent line? Use this fact to draw the tangent line.
Assuming that the data are normally distributed with a mean of 45 and a standard deviation of 3.25, what is the z-score for a value of 40?
The ages of workers in the Illuminex plant are approximately normally distributed with a mean of 42 years and a standard deviation of 10 years. A worker is stopped at random and asked to fill out a questionnaire. What is the probability that this ..
the length of a rectangular garden is 4m more than 3 times its width. If the perimeter of the garden is 56m, what are the dimensions of the garden?
he linear equation y= 0.15x+0.79 represents an estimate of the average cost of gas for year x starting in 1997. The year 1997 would be represented by x=1, for example, because it is the first year in the study. Similarly, 2005 would be year 9, or ..
State the placement of the horizontal asymptote and y-intercept after the transformation -
The number of bacteria N in a culture is given by the model N=250e^kt, where t is the time in hours, with t=0, corresponding to the time when N=250.
Box A contains the numbers 1, 2, 3, and 4. Box B contains the numbers 5, 6, 7, and 8. A number is first drawn from Box A and then another number from Box B. Using how many outcomes are in the event of getting both numbers even?
Please DO NOT USE Euler's function. You can only use Fermat's Little theorem if needed.
A gun has a muzzle speed of 100 meters per second. What angle of elevation should be used to hit an object 190 meters away? Neglect air resistance and use as the acceleration of gravity.
That is, the next 10 feet will cost $125, the next 10 feet will cost $150, etc. How much will it cost to build a 90-foot tower?
sketching the graph of cosecant function and identifying its asymptotes.graph y csc 0.5x pi2 and y cos 0.5x pi2 on
Formulate the above as linear programming problem. Solve (a) by graphical method. Solve using simplex method.
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