From the function f(x) = x^2 + 3, calculate: (2 points) a) The change in y when x varies from 4 to 4.5

b) The increment of the function when x = 2 and Δx = 0.01.

2.- Calculate the approximate value of the increment of the function () = 2^3 + 5, consider what’s indicated in the following points:

a) x changes from 3 to 3.02.

b) When x = 2 and Δx = 0.001

3.- Calculate the approximate decrease in the area of a circular burn when the radius decreases from 2 to 1.98 cm.

The square pyramid has a volume of 441 cubic inches. what is the value of x? 1/7x is the height x is the base

What is the mean of the data set 125, 141, 213, 155, 281

For every corresponding pair of cross sections, the area of the cross section of a sphere with radius r is equal to the area of the cross section of a cylinder with radius and height 2r minus the volume of two cones, each with a radius and height of r. a cross section of the sphere is and a cross section of the cylinder minus the cones, taken parallel to the base of cylinder, is the volume of the cylinder with radius r and height 2r is and the volume of each cone with radius r and height r is 1/3 pie r^3. so the volume of the cylinder minus the two cones is therefore, the volume of the cylinder is 4/3pie r^3 by cavalieri's principle. (fill in options are: r/2- r- 2r- an annulus- a circle -1/3pier^3- 2/3pier^3- 4/3pier^3- 5/3pier^3- 2pier^3- 4pier^3)