Use cylindrical coordinates to evaluate the triple integral \displaystyle \int \! \! \int \! \! \int_{\mathbf{e}} \, \sqrt{x^{2} + y^{2}} \, dv, where e is the solid bounded by the circular paraboloid z = 9 - 4 \left( x^{2} + y^{2} \right) and the xy -plane

Plz need answer now will mark which situations represent linear functions? check all that apply. a)the temperature rises and falls over the course of a day. temperature is a function of time. b)a baseball is hit into the outfield. the height of the ball is a function of time. c)a car goes 55 mph on the highway. distance is a function of time. d)a child grew 2 inches this year and 1 inch last year. height is a function of time. e)a movie director makes 2 movies per year. the number of movies is a function of the years.

17. a researcher measures three variables, x, y, and z for each individual in a sample of n = 20. the pearson correlations for this sample are rxy = 0.6, rxz = 0.4, and ryz = 0.7. a. find the partial correlation between x and y, holding z constant. b. find the partial correlation between x and z, holding y constant. (hint: simply switch the labels for the variables y and z to correspond with the labels in the equation.) gravetter, frederick j. statistics for the behavioral sciences (p. 526). cengage learning. kindle edition.

Find the area of the regular hexagon if a side is 20 cm.