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let f be the function defined by f(x) = 12x^(2/3) - 4x. a) find the intervals on which f is increasing. b) Find the x and y coordinates of all relative maximum points.
Use the normal curve approximation to the binomial distribution.
An economy has three sectors: A, B, C. Sector A sells 20% of its output to B and 30% to C and retains the rest. Sector B sells 30% of its output to A and 40% to C and retains the rest. Sector C sells 50% of its output to A and 30% to B and retains..
Prove that the set of natural numbers will be a ring by using ring definition - set of natural numbers
A fast food outlet has an average of 8 cars at the drivethrough during "lunch rush" 11am-1pm. On average, 2 cars per min. arrive at the resaurant parking lot, and consider the drivethrough
How much should he invest in each to maximize his return? Assume the investment returns are as expected.
Find the price function p(x) , where x is the number of the television sets sold per week.
A laboratory designed a radio telescope with a diameter of 320 ft and maximum depth of 48 feet. The graph depicts a cross section of this telescope. Find the equation of this parabola.
On an airplane that is two-thirds full, 20% of the passengers are boys, one-fourth of the passengers are women, one-eighth of the passengers are girls, and there are 68 men. How many seats are on the plane?
Let G be a group and H be a non-empty subset of G. We define H^2 as the set of elements of G which can be written in the form h_1 h_2, with h_1 ,h_2∈H.
Where t is the number of years after January 1, 1998 and C(t) is the number of conncections in millions.
To find the interval of definition look for points where the intergral curve has a vertical tangent.
Find the range of angles that trace out the full graph and determine and graph the equations of the tangent lines at each relative maximum of r
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