1. Math 4R Test6+7A Name:
For each question: Show all work. Justify each answer in the space provided. Circle final answers.
(1) The horizontal range R and the maximum height H, in feet, of a
cannon ball are approximately:
vo2 sin(2θ)
θ vo2 sin2(θ)
θ
R= H=
32.2 64.4
ft
where vo is the initial velocity in and θ is the angle of elevation.
s
(1a) Find R if the cannon ball is fired at an angle of 45° and an initial
ft
velocity of 100 s .
(1b) Find H if the cannon ball is fired at an angle of 45° and an initial
ft
velocity of 100 s .
a:TEST6+7A.4Rt

2. Math 4R Test6+7A Name:
For each question: Show all work. Justify each answer in the space provided. Circle final answers.
(2) The following data represent the average monthly temperatures
for Phoenix, Arizona.
Month Temperature in ° F
Jan 51
Feb 55
Mar 63
Apr 67
May 77
Jun 86
Jul 90
Aug 90
Sep 84
Oct 71
Nov 59
Dec 52
(2a) Find LinReg.
(2b) Find QuadReg.
(2c) Find PwrReg.
(2d) Find SinReg.
(2e) Which regression is best and why?
a:TEST6+7A.4Rt

3. Math 4R Test6+7A Name:
For each question: Show all work. Justify each answer in the space provided. Circle final answers.
(3) Prove the following identity:
cos2(θ)
θ
1– = sin(θ)
θ
1 + sin(θ)
θ
a:TEST6+7A.4Rt

4. Math 4R Test6+7A Name:
For each question: Show all work. Justify each answer in the space provided. Circle final answers.
(4) Solve for x:
2cos2(θ) + cos(θ) = 0
θ θ
a:TEST6+7A.4Rt