At summer camp, the duration of a basketball game is 3/4 of an hour. The camp counsellors have set aside 6 hours for basketball
games. They need to determine how many games can be played. James and Raquel both attempted to solve the problem and their work is shown below.
Problem: 6 dived by 3/4
Question 1
POSSIBLE POINTS: 5
Select the camp counselor that correctly solved the problem.
James
Raquel
Question 2
POSSIBLE POINTS: 5
Identify and describe the error in the incorrect counsellor's work. :
Problem: 6 dived by 3/4
Question 1
POSSIBLE POINTS: 5
Select the camp counselor that correctly solved the problem.
James
Raquel
Question 2
POSSIBLE POINTS: 5
Identify and describe the error in the incorrect counsellor's work. :
2 answers:
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Answer:
4
Step-by-step explanation:
The question is not clear. You have indicated the original function as 12sin(0) - 9sin²(0)
If so, the solution is trivial. At 0, sin(0) is 0 so the solution is 0
However, I will assume you meant the angle to be rather than 0 which makes sense and proceed accordingly
We can find the maximum or minimum of any function by finding the first derivate and setting it equal to 0
The original function is
Taking the first derivative of this with respect to and setting it equal to 0 lets us solve for the maximum (or minimum) value
The first derivative of w.r.t
is
And setting this = 0 gives
Eliminating on both sides and solving for
gives us
Plugging this value of into the original equation gives us
This is the maximum value that the function can acquire. The attached graph shows this as correct
