If x^3+2x^2y-4y=7, then when x=1, dy/dx=

Set $r$ is a set of rectangles such that (1) only the grid points shown here are used as vertices, (2) all sides are vertical or horizontal and (3) no two rectangles in the set are congruent. if $r$ contains the maximum possible number of rectangles given these conditions, what fraction of the rectangles in set $r$ are squares? express your answer as a common fraction.

33 ! use the following data to determine the type of function (linear, quadratic, exponential) that best fits the data set. (1, 2) (5, 7) (9, 8) (3, 4) (4, 5) (2, 3)

Pamela has a 30-year, 5.75% mortgage on her $250,000 home. she has been paying on it for 5 years, and has recently hit some financial trouble. if her lender agreed to lower the interest rate on her $231,905.47 balance to 5.5%, what will her new payment be for the remainder of the loan?