Joseph P.

 involving a movie critic reviewing films. Assume that the critic finds that 40 percent of the movies have positive comments about the plot, 50 percent have positive comments about the acting, and... more

The curve below has a horizontal tangent line at the point (3,6)(3,6) and at one other point. Find the coordinates of the second point where the curve has a horizontal tangent... more

What is the limit at infinity and negative infinity of this function:f(t)=e^t - tShow steps so I can understand how it can be done.

Let S1,S2,S3 be sets. Prove that (S1\S2)∪(S2\S3) ⊆ (S1 ∪S2)\(S1 ∩S2 ∩S3).

State the scope of each quantifier in the following expression:“∀y, [R(x, y) ^ ∃x (P(x, y) ^ ~Q(x, y))]and state whether the expression above is a statement. Explain your answer.

A Ferris wheel is 20 meters in diameter and boarded from a platform that is 2 meters above the ground. The six o'clock position on the Ferris wheel is level with the loading platform. The wheel... more

I would like to find the apothem of a regular pentagon. It follows from $$\\cos \\dfrac{2\\pi }{5}=\\dfrac{-1+\\sqrt{5}}{4}.$$ But how can this be proved (geometrically or trigonometrically)?

  OX, OX’, OY or OY’ how is it OY’ and not OY?

during his high school years, Willie loved number games. He continued to use his love for mathematics and numbers in his new professional pool player. He thought it would bring him luck if he would... more