1. Find the slope of the line tangent to the parabola: y = 4x - x ^ 2

At point (1,3):
a) Using the definition of the limit first and then using derivation rules
(derived from polynomials).
b) Find the equation of the tangent line at the point (1,3).
c) find the approximate value of “y” when x = 1.1; assuming you don't know
the parable, you only know the results of part a).

Ann and betty together have $60 ann has $9 more than twice betty’s amount how much money dose each have

Michelle and julie work at a catering company. they need to bake 264 cookies for a birthday party that starts in a little over an hour and a half. each tube of cookie dough claims to make 36 cookies, but michelle eats about 1/5 of every tube and julie makes cookies that are 1.5 times as large as the recommended cookie size. it takes about 8 minutes to bake a container of cookies, but since julie's cookies are larger, they take 12 minutes to bake. a. how many tubes should each girl plan to bake? how long does each girl use the oven? b. explain your solution process what did you make? c. what assumptions did you make?

Rectangle bcde is similar to rectangle vwxy. what is the length of side vy? a) 1 7 b) 2 7 c) 3 7 d) 4 7