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1. (a) Give an example of a function, f(x), that has an inflection point at (1, 4).
(b) Give an example of a function, g(x), that has a local maximum at ( -3, 3) and a local minimum at (3, -3).
(c) Plot f(x) and g(x) on the same graph being sure to label the inflection point(s) and local extrema.
joey asked 30 randomly selected students if they drank milk, juice, or bottled water with their lunch. He found that 9 drank milk, 16 drank juice, and 5 drank bottled water. If the
Carl worked three more than twice as many hours as Cindy did. What is the maximum amount of hours Cindy worked if together they worked 48 hours at most? Let x = the amount of h
all perimeter and area
Volumes for Solid of Revolution Before deriving the formula for it we must probably first describe just what a solid of revolution is. To find a solid of revolution we start o
Area with Polar Coordinates In this part we are going to look at areas enclosed via polar curves. Note also that we said "enclosed by" in place of "under" as we usually have
Determine all possible solutions to the subsequent IVP. y' = y ? y(0) = 0 Solution : First, see that this differential equation does NOT satisfy the conditions of the th
Illustration: Find the solution to the subsequent IVP. ty' + 2y = t 2 - t + 1, y(1) = ½ Solution : Initially divide via the t to find the differential equation in
Test Of Hypothesis On Proportions It follows a similar method to the one for means except that the standard error utilized in this case: Sp = √(pq/n) Z score is computed
The exponential functions are useful for describing compound interest and growth. The exponential function is defined as: y = m. a x where '
a) Determine the distance traveled among t = 0 and t =∏/2 by a particle P(x, y) whose position at time t is given by Also check your result geometrically. (5) b) D
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