Mateo is constructing an equilateral triangle inscribed in a circle with center p. he draws the diameter of the circle through center p using a straight edge. next he opens his compass to a width equivalent to the radius of the circle. what is his next step?
a. place the point of the compass on the center of the circle and mark off arcs to the left and right.
b. place the point of the compass in one of the locations where the diameter intersects the circumference and mark off arcs on either side.
c. place the point of the compass on the edge of the circle and mark off arcs all the way around.
d. place the point of the compass on the edge of the circle and mark off two arcs.

The equation shown below represents function f. f(x)= -2x+5 the graph shown below represents function g. which of the following statements is true? a. over the interval [2, 4], the average rate of change of f is the same as the average rate of change of g. the y-intercept of function f is less than the y-intercept of function g. b. over the interval [2, 4], the average rate of change of f is greater than the average rate of change of g. the y-intercept of function f is greater than the y-intercept of function g. c. over the interval [2, 4], the average rate of change of f is the same as the average rate of change of g. the y-intercept of function f is greater than the y-intercept of function g. d. over the interval [2, 4], the average rate of change of f is less than the average rate of change of g. the y-intercept of function f is the same as the y-intercept of function g.

Find the volume v of the solid obtained by rotating the region bounded by the given curves about the specified line. y = x â’ 1 , y = 0, x = 5; about the x-axis v = sketch the region. sketch the solid, and a typical disk or washer.

Let f of x equals the integral from 1 to 3 times x of the natural logarithm of t squared. use your calculator to find f″(1).