Math 140 Section 6382 - Quiz #1 - Due January 20, 2019 - page 1 of 1 Directions: Show all work to receive any credit. You can rely on the internet to...

I need help to answer my assigment. the graph that need in question number 4 is in the next picture number 16. Thank you

• Attachment 1
• Attachment 2

Math 140 Section 6382 -— Quiz #1 - Due January 20, 2019 - page 1 of 1 Directions: Show all work to receive any credit. You can rely on the internet to check your answers, but I must seethat you have provided complete solutions to these problems using only the methods learned in this course. Handwrite or up; your answers on separate sheets. DQ NQT attempt to squeeze your answers onto this sheet. Itwill be much easier for you to write the solutions out by hand, and I recommend that. However, for handwrittenwork, please use a reliable scanner [Scannable works great on a smartphone]. Your scans should be clear and Ishould be able to read them. If I cannot read them, I will return them to you. 1. Find an equation of the line, in y = mx + in form, that contains the points (—1,3) and(4. —1)- {20 pts) Find an equation of the circle whose endpoints of a diameter are (—1,3) and (4, —1).{20 pts)Consider the functions defined as follows. —x x<—3f(x)= 3x+1 —3$x<22—x x22 SCI) = 1-296]. -4$x$4 (Note: g(x) uses the greatest integer function. For —4 s x s 4, 9(1) is the greatest integer less than or equai to —2x.] Determine each of the following values or say it doesn’t exist: {4 pts each}3] f(-3J bl f (2) Cl 90-98)dl 9(-5) 6:) (f ° 9)(1-0001) 1‘} (.9 ° f )(3-1) Refer to the graph of the function f in Exercise 16 on page 41 in Section 0.4 of thetextbook. a] Write down a formula for flat). Assume its domain is [0, on). {10 pts)b] Sketch the graph ofy = |f(x)|. {6 pts}c} Sketch the graph ofy = f(|x|). {5 pts} You are standing at a fixed point on the ground. A drone is flying at constant height of 40 meters above the ground and is traveling at a constant speed of 8 meters per second. The drone is exactly overhead at time t = 0. Let 9 be the angle between your body and line of sight to the drone. {5 pts each} a] What is the siope of your line of sight at time t > 0? Answer in terms of t. b} What is the horizontal distance that the drone has traveled at time t > 0?Answer in terms of t. c] What equation do 9 and t satisfy? Your answer should involve a trig function, 9, and t.Refer to the diagram on page 16 in section 0.2 if you need.