(Standard C2: Conceptions of the derivative) Use the figure below to answer the following problem. A person inflates a balloon, looks at it for a while, and then lets the air out. The rate of change of volume of the balloon is graphed below. 20 (a) When does the person begin to inflate the balloon? Explain. (b) When do they begin to the let the air out of the balloon? Explain. (c) How would the graph change if they had alternated between pinching and releasing the open end of the balloon?
Angles in Circles
Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.
Arcs in Circles
A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.
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