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Valentin [98]
1 year ago
15

Which numbers I have to put in the boxes

Mathematics
1 answer:
djyliett [7]1 year ago
5 0
Where’s the problem
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The maximum value of 12 sin 0-9 sin²0 is: -​
jeka57 [31]

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 \theta 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

f(\theta) = 12sin(\theta) - 9 sin^2(\theta)

Taking the first derivative of this with respect to \theta and setting it equal to 0 lets us solve for the maximum (or minimum) value

The first derivative of f(\theta) w.r.t \theta is

                        12\cos\left(\theta\right)-18\cos\left(\theta\right)\sin\left(\theta\right)

And setting this = 0 gives

12\cos\left(\theta\right)-18\cos\left(\theta\right)\sin\left(\theta\right) = 0

Eliminating cos(\theta) on both sides and solving for sin(\theta) gives us

sin(\theta) = \frac{12}{18} = \frac{2}{3}

Plugging this value of sin(\theta) into the original equation gives us

12(\frac{2}{3}) - 9(\frac{4}{9} ) = 8 - 4 = 4

This is the maximum value that the function can acquire. The attached graph shows this as correct

3 0
1 year ago
Help with 29, 30, 31, 32 & 33 please!! I will mark you as brainliest!!
Crazy boy [7]

Answer:

29. D

30. A

31. C

32. B

33. A

Step-by-step explanation:

6 0
3 years ago
What is the value of 2 cubed
Phoenix [80]
2 cubed. Cubed also means multiply so enjoying by itself times. So, 2 * 2 = 4 * 2 = 8. 2 cubed = 8
8 0
3 years ago
How would you divide 0.294/3?
Arte-miy333 [17]
0.294:3= \frac{\big{294}}{\big{1000}} \cdot  \frac{\big{1}}{\big{3}} = \frac{\big{2\cdot3\cdot49}}{\big{2\cdot500}} \cdot  \frac{\big{1}}{\big{3}} = \frac{\big{49}}{\big{500}} \\\\\\0.294:3=(0.098\cdot3):3=0.098
7 0
3 years ago
Read 2 more answers
Javier has 4 juice boxes and 3 are grape flavored write two fractions that describe the juice boxes that is grape
Sunny_sXe [5.5K]

Answer:

G = 3/4   x=1/4

Step-by-step explanation:

so if he has four boxes of juices and three of the are grape that  means he has one box that is another

grape = 3/4

another 1/4

3 0
3 years ago
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