View the curve (y−x)²+2=xy−3 as a contour of f(x, y). (a) Use ∇f(3,2) to find a vector normal to the curve at (3,2).

(b) Use your answer to part (a) to find an implicit equation for the tangent line to the curve at (3,2).

Which of the following situations represents a linear relationship? a. theresa increases the distance she runs by 0.1 miles every week. b. the volume of a box depends on the length of box. c. the amount of money in a bank account increases by 1 percent each year. d. the population of a town doubles every 5 years.

What values of x satisfy the inequality x^2-9x< 0? how is your answer shown on the graph?

Find the solution of this system of equation -7x+y=-20 9x-3y=36