Consider the vector field f(x, y, z) = (4yz, y2 4xz, 4xy) (15 pts) a. show that this vector field is conservative b. find the potential function associated with this conservative vector field. c. calculate the circulation of this vector field around the curve given by the intersection of the cone 4=n/4 and the sphere p = 1. you may use the results of part a. or b. and integration theorems if it

What is true about the dilation? it is a reduction with a scale factor between 0 and 1. it is a reduction with a scale factor greater than 1. it is an enlargement with a scale factor between 0 and 1. it is an enlargement with a scale factor greater than 1.

What is the value of x in the equation 2(x-4) = 4(2x + 1)?

Suppose you are going to graph the data in the table. minutes temperature (°c) 0 -2 1 1 2 3 3 4 4 5 5 -4 6 2 7 -3 what data should be represented on each axis, and what should the axis increments be? x-axis: minutes in increments of 1; y-axis: temperature in increments of 5 x-axis: temperature in increments of 5; y-axis: minutes in increments of 1 x-axis: minutes in increments of 1; y-axis: temperature in increments of 1 x-axis: temperature in increments of 1; y-axis: minutes in increments of 5