The motion of the piston can be approximated by the function h(t) = 0.05cos13t, where t is time in seconds, and h(t) is the displacement of the piston head from rest position, in metres, at time t. (a) Determine an equation for the velocity of the piston head as a function of time.

[1]

(b) Find the maximum and minimum velocities, and the times at which they occur

using k ∈ Z. [4] (Hint: critical numbers come from the derivative of the function you are trying to find max/mins for)

Match the following terms with their definitions. 1. bisector of a segment ray ba and ray bc are opposite rays if a, b, and c are collinear and b (the endpoint of both rays) is between a and c. 2. opposite rays a ray, , is the set of points beginning at point a and going infinitely in the direction of point b. 3. collinear points a line or segment that intersects the segment at its midpoint. 4. betweenness of points a set of two or more points all on the same line. 5. ray the distance between the endpoints of a segment. 6. space point b is between a and c if a, b, and c are collinear and the equation ab + bc = ac is true, where ab, bc, and ac are the distances between points a and b, b and c, and a and c, respectively. 7. midpoint of a segment a set of two or more points all on the same plane. 8. coplanar points the point on a segment that divides the segment into two equal segments. 9. length of a segment the set of all possible points. 10. line segment the set of two different endpoints and all points between them.

30 pts, will mark brainliestwhat is the period of the sinusoidal function? (picture 1)what is the minimum of the sinusoidal function? (picture2)what is the maximum of the sinusoidal function? (picture 3)

Find the number of real number solutions for the equation. x2 + 5x + 7 = 0 0 cannot be determined 1 2