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A colony of bacteria increases according to the law of uninhibited growth (exponentially). How long will it take for the size of the colony to triple?
Find the Taylor's formula for estimation of cosine function
What speed is the lamp's spot moving as it passes the point where it is perpendicular to shore? How fast is the spot moving along the shore when the spot is 1 km from the point at which it is perpendicular?
Write the complex number in rectangular form. 7(cos120degrees + i sin120degrees) =
Is the surface integral of a closed surface (for example the surface is the cylinder x^2+y^2=9 between the planes z=0 and z=2, together with the top and the bottom) supposed to be 0?
A conical water tank with vertex down has a radius of 10 feet at the top and is 29 feet high. If water flows into the tank at a rate of 20 {rm ft}^3{rm /min}, how fast is the depth of the water increasing when the water is 13 feet deep?
A local hamburger shop sold a combined total of hamburgers and cheeseburgers on Wednesday. There were fewer cheeseburgers sold than hamburgers. How many hamburgers were sold on Wednesday?
Confidence interval for the mean test score.
Think of a mathematical function that represents something from your own life. For example, Assume the number of beers you drink depends on the number of football games you watch.
Calculate the mean for the grouped data.
Find (and describe) all the regular tessellations of the plane. Note that septagons, nonagons, and 11-gons are not provided. How do you know each one you find really fills in all the gaps around a vertex point? How do you know when you're done?
The solution to Linear transformations, A linear transformation L: V -- W is said to be one-to-one if L(v1) = L(v2) implies that v1=v2. Show that L is one-to-one if and only if ker(L) = {0v}.
Apply normal distribution methods to approximate this binomial distribution.
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