Find the gradient of the functions below a)f(x, y) = In Vx? + y?

b        For which values of x does the graph have a positive gradient? c        For which values of x does the graph have a negative gradient?

Let f(x) be the height of a maple tree in inches and the number of years since 2000. A linear model for the data is f(x) = 9.44x + 84.182. 220 210- 200 190 180 170 160 150- 140- 130- 120 110 100 -90- ge 70- -60 -50+ 3 Ő 9 12 A) To the nearest inch, estimate the height of the maple tree in 2013. inches B) Use the equation to find the year in which the tree will be 250 inches tall.

Estimate the value of the function, whose graph is shown in red, at x = 2.2 if the tangent line to the graph at (2,3) has the slope m = 0.5. m = 0.5 (2, 3) 2- 4