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Find the osculating plane of the circular helix r(t) = costi + sintj + tk at the point (0, 1, pi/2)
The surface area of the right squre pyramid is given by S=b square rt. b^2 + 4h^2. If the pyramid has height of 10 feet and surface area of 100 square feet, what is the length of a side b of its base?
A man at point A on the shore of a circular lake of radius 1 mi wants to reach the opposite point C as soon as possible. He can walk 6mi/h and row his boat 3mi/h. At what angle theta to the diameter should he row?
The curve y = x^3 + x^2 - x has two horizontal tangents. Find the distance between these two tangents and draw a picture. Please show how to solve the following problem to the answer of 32/27.
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?
A regression analysis
How do you interpret the solution of a system of equations by the corresponding graph? Please provide example. What is the situation when two linear inequalities have no solution?
Name at least one situation in real life where you measure slope? What is the range of the slopes you encounter for this measurement?
Find the continuous-compounding nominal interest rate per annum (r) that is equivalent to a discrete-compounding interest (i) of:
What is the probability of randomly selecting a student who is female or prefers Digital Art?
Formulate a linear programming model for the problem.
What is the standard error of the sample mean, x? Enter your answer to 2 decimal places.
Find a general solution to the differential equation.
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