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the region in the first quadrant enclosed between the graph of y = ax -x2 and the x-axis generates the same volume whether it is revolved about the x-axis or the y-axis. use analytic methods to find the value of a.
Find a cubic function y=ax^3+bx^2+cx+d whose graph has horizontal tangents at the points (-2,6) and (2,0).
A large boat needs at least 4 meters of water to secure it at the end of the pier. Determine what time period after noon the boat can safely be secured.
Find the slope of the line that passes through the points (3, -5) and (-4, -6). Find the equation in slope-intercept form, of the line that passes through the points (3, 6) and (-7, -3); write equation in slope-intercept form.
most people work full time 43.4 hours normally distributed. 12% work 48 hours per week what is the standard deviation of number of hours worked per week.
How to solve a problem with Property Tax in a position in Pennsylvania earning 50,000 per year. You found a duplex that you can purchase with an assessed value of $75,000.
A 30cm pendulum traverses an arc of 15 cm. To the nearest degree, how many degrees of rotation did the pendulum swing?
Wing has different books to arrange on a shelf: 4 blue, 3 green, and 2 red. In how many ways can the books be arranged on a shelf? If books of the same color are to be grouped together, how many arrangements are possible?
An automobile manufacturer finds that 80,000 cars can be sold if each is priced at $12,000. However, the number sold increases by 25 for every $2 decrease in the price. The manufacturer has fixed costs of $45,000,000; in addition, it costs $5,500 ..
Explain, in your own words, the product rule of exponents. Why does it work? Give examples. Please use a problem from page 412 #'s 27 - 38 or page 413 #'s 51 - 56, 101 as your example for this question. Please try to avoid using a problem someone ..
Show that x^2+1 is irreducible as an element of Q[x] but reducible as an element of Z5[x]
The dimensions of a triangular lot are 160 feet by 80 feet by 120 feet. If the price of such land is $3 per square foot, how much does the land cost?
find the general solution of the given differential equation:
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