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Question: 1. (a) Show that if a is a positive constant, then x = 0 is the only critical point of f(x) = x + a√x.
(b) Use derivatives to show that f is increasing and its graph is concave down for all x > 0.
2. Find and classify the critical points of f(x) = x3(1-x)4 as local maxima and minima.
What does it mean to say that a random variable has a geometric distribution with parameter p?
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We know that 1 = 1. It turns out that 2+3+4 = 1+8 and that 5+6+7+ 8+9 = 8+27 and that 10+11+12+13+14+15+16 = 27+64. Does this generalize?
how you can use the distributive property to check the binomial factors
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Sampling Distribution and Sample Mean : Probability, The shelf life of a digital storage device is normally distributed with mean 10 years and standard deviation 2 years. Suppose you are a quality assurance manager and wish to verify this statisti..
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The roads represented by this graph are all unpaved. The lengths of the roads between pairs of towns are represented by edge weights.
The height (in centimeters) of a candle is a linear function of the amount of time (in hours) it has been burning. When graphed, the function gives a line with a slope of -0.4. See the figure below. Suppose that the height of the candle after 18 ho..
John took all his money from his savings account. He spent $110 on a radio and 4/11 of what was left on presents for his friends. John then put 2/5 of his remaining money into a checking account and donated the $420 that was left to charity. How m..
budget rental cars charges 35 a day plus 0.40 per mile. enterprise charges 20 a day plus 0.55 per mile. wirte and solve
An object is moving around the unit circle with parametric equationsx(t)=cos(t), y(t)=sin(t), so it's location at timetisP(t)=(cos(t),sin(t)). Assume0
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