By Patrick Jones

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**Extra info for 1,001 Calculus Practice Problems for Dummies**

**Example text**

Rad 114. rad 115. rad 116. rad Finding Angles in the Coordinate Plane 117–119 Choose the angle that most closely resembles the angle in the given diagram. 117. Using the diagram, find the angle measure that most closely resembles the angle . (A) (B) (C) (D) (E) 118. Using the diagram, find the angle measure that most closely resembles the angle . (A) (B) (C) (D) (E) 119. Using the diagram, find the angle measure that most closely resembles the angle . (A) (B) (C) (D) (E) Finding Common Trigonometric Values 120–124 Find , , and for the given angle measure.

Estimate to the tenths place. 431. Estimate tan 46° to the thousandths place. Understanding Related Rates 432–445 Solve the related-rates problem. Give an exact answer unless otherwise stated. 432. If V is the volume of a sphere of radius r and the sphere expands as time passes, find in terms of . 433. A pebble is thrown into a pond, and the ripples spread in a circular pattern. If the radius of the circle increases at a constant rate of 1 meter per second, how fast is the area of the circle increasing when the radius is 4 meters?

Use Newton's method to find the root of x3 – x2 – 2 in the interval [1, 2] correct to five decimal places. 518. Use Newton's method to find the positive root of correct to five decimal places. Chapter 9 Areas and Riemann Sums This chapter provides some of the groundwork and motivation for antiderivatives. Finding the area underneath a curve has real-world applications; however, for many curves, finding the area is difficult if not impossible to do using simple geometry. Here, you approximate the area under a curve by using rectangles and then turn to Riemann sums.