c. Find the area of the shaded region constructed in part b by using a common geometric area formula. d. Find the area of the shaded region constructed in part b by evaluating the definite integral from part a. (Hint: Areas from parts c and d should match) 2. Let's assume now that the acceleration of the car is not a constant positive value, but one that is constantly increasing as well. After all, you don't want to floor the gas pedal from rest, but gradually want to push it down to the floorboard as the car is moving 11 over time. Therefore, the velocity function to consider now is v(t) = =t², which 8. satisfies both the car starting at rest (0,0) and moving at 88 ft/sec after 8 seconds (8,88). a. Write the definite integral for this journey with Dr. Lawrence's Impala. What type of measurement would be produced when evaluating this definite integral? b. Trace the graph of v(t) on the graph below and shade the area underneath v(t) bounded by the proper interval. Label the axes appropriately. Since a common geometric area formula will not be useful here as there exists a nonlinear side, use left Riemann Sums with four subintervals to find an approximation of the area sketched in part b. 2° d. Use right Riemann Sums with four subintervals to find an approximation of the area sketched in part b. 2- e. Find the exact area of the shaded region constructed in part b by evaluating the definite integral from part a.

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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.