Athin plate of constant density covers the region bounded by the ellipse, described by the equation below, in the xy-plane. find the first moment of the plate about the origin. (hint: use the transformation xarcosθ, ybrsinθ.) x^2/a^2+y^2/b^2find the first moment of the plate about the origin is.

Question part points submissions used suppose that 100 lottery tickets are given out in sequence to the first 100 guests to arrive at a party. of these 100 tickets, only 12 are winning tickets. the generalized pigeonhole principle guarantees that there must be a streak of at least l losing tickets in a row. find l.

If you are trying to move an attached term across the equal sign (=), what operation would you use to move it?

M the table below represents a linear function f(x) and the equation represents a function g(x): x f(x)−1 −50 −11 3g(x)g(x) = 2x − 7part a: write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points)part b: which function has a greater y-intercept? justify your answer. (4 points)