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A developer wants to enclose a rectangular grassy lot that borders a city street for parking. If the developer has 324 feet of fencing and does not fence the side along the street, what is the max area that can be enclosed?
Find the slope of the tangent line to the graph of y= ln[x*e^x] at the point where x=3.
Given a line L and a point A in the plane, construct the line perpendicular to L that passes through A.
Find the mean values for this variable.
In Calculus: Explain the difference between a function and a relation in your own words. Consider the equation x2 + y2 = 5 and explain why you believe it's a function or not? Give at least two reasons to support your answer.
find two other pairs of polar coordinates of the given polar coordinate, one with r > 0 and one with r
Select and discuss two examples of real life objects that incorporate the parabolic shape. Explain why the parabolic shape was used for the objects.
Show that if G is a 2-connected graph containing a vertex that is adjacent to at least three vertices of degree 2, then G is not hamiltonian.
Discuss how an axiomatic set theory can be developed to avoid Russell's paradox. Use the internet as a source for writing a one or two page essay on the topic.
Suppose that you are dealt a hand of 9 cards from a standard deck of 52 playing cards. What is the probability that you are dealt exactly 3 kings? What is the probability that you are dealt 9 cards of the same suit?
The probability that Simon completes his homework is 7/8 and the probability that Hannah completes her homework is 3/4. By drawing a tree diagram, find the probability that
a drop of oil measuring .28 cubic cm is spilled onto a lake. the oil spreads into a circular shap with a diameter of 22cm. Approxamate the thickness of the film.
Prove that the projection onto the plane Y O Z of the intersection curve of an elliptical paraboloid x = y^2 + z^2 with a plane x - 2y + 4z = 0 is a circle of radius R = 3 centered at M (0, 1, -2).
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