Please Answer All questions:

Part 1

Topic 14 Assignment 2: Problem Set Overview In this assignment you will be completing problems based on angles, radians and arc length. The purpose of this assignment is to convert angle measures from radians to degrees and from degrees to radians. As you work, show your thinking in the box below. Problem Sets Questions Solve the questions below. Show your work. 1. Convert: 85 degrees to radians 21 to degrees 2. Find the radian measure of a central angle that intercepts an arc of length I in a circle of radius r.3. Use the arc length formula to find the missing information in the table below: r ? 2 in 25 rad 1.5 ft ? "rad 5ft 18 degrees 4. A circle has a radius of 7 units and has a sector formed by a central angle of 40 degrees. Find the arc length and area of the sector. Round to the nearest tenth.5. On a new vehicle, a windshield wiper is 50 cm long and is affixed to a swing arm that is 74 cm long from pivot point to wiper-blade tip. If the swing arm turns through 110 degrees, what area of the windshield is swept by the wiper blade?3.4: Problem Set Overview In this assignment you will be completing problems based on using exponential and logarithmic functions to model situations. The purpose of this assignment is to use logarithmic and exponential functions to model situations. As you work, show your thinking in the box below. Problem Sets Questions Solve the questions below. Show your work. The following situation will be used for Questions 1-3. Suppose a culture of 1000 bacteria is put into a petri dish and the culture triples every hour. Predict when the number of bacteria will reach 250,000. 1. Use the given information to write the exponential equation used to model this situation. Identify the variables used. 2. Use log properties to solve the equation you developed in question 1.3. Use a graphing calculator to check your work. Describe how the graph of the exponential equation can help you solve the equation and/or check your answer. What are you looking for on the graph? Is your answer correct? The following will be used for questions 4 and 5. A virus is spreading in a local school. The virus is spreading logistically so that it follow the below model: P(t) = 1200/(1 + 39e . tis the number of days since the start of the virus. P(t) represents the number of people infected on day t. 4. How many people are infected by the end of Day 0? 5. How long does it take for 1000 people to become infected?4.: Problem Set Overview In this assignment you will be completing problems based on the unit circle. The purpose of this assignment is to evaluate trigonometric functions using the unit circle. As you work, have the unit circle resource sheet in front of you and show your thinking in the box below. Problem Sets Questions Solve the questions below. Show your work. Use these directions for questions 1-3. For each given point P located on the unit circle, state the quadrant and find sine, c053 and tan 8. 1. 13('71, g) 2. P(0, 1) 3- 13(32 i) 2 ' 2 4. Find the exact value of cos 600 decrees . 231T 5. Find the exact value COST