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Natasha2012 [34]
3 years ago
12

Express cos^2 x in terms of cos2x. Hence, express f(x) = 6cos^2 x - 4sin 2x in the form R cos (2x + Y degrees) + p where R, y an

d p are constants. Find the maxium and minimum values of f(x) and sketch its graph in the domain -180 <= x <= 360
Mathematics
1 answer:
Lady bird [3.3K]3 years ago
8 0
2cos^2 x = 1 + cos 2x
cos^2 x = 1/2(1 + cos 2x)
f(x) = 6cos^2 x - 4 sin 2x = 6(1/2(1 + cos 2x) - 4 sin 2x = 3 + 3cos 2x - 4sin 2x
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Put thes fallowing numbers in order from largest to smallest -3, -3.5, 6, -6, 0, 1
Verdich [7]
6, 1, 0, -3, -3.5, -6
5 0
3 years ago
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Please answer fast, I need great answers!!!!! This is mathematics.
Fantom [35]
20, 25, 30, 30, 31, 40, 41, 49
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7 0
3 years ago
Earl invested 6,000 in a money market account that pays 5% interest quarterly. How much money will he have in his account after
Sedbober [7]

Answer:

The amount becomes $6964.53 after 3 years .

Step-by-step explanation:

Formula

Amount = P (1+\frac{r}{4})^{4t}

Where P is the principle , r is the rate of interest in the decimal form and t is the time in the years .

As given

Earl invested 6,000 in a money market account that pays 5% interest quarterly for 3 years .

P = $6000

5% is written in the decimal form.

= \frac{5}{100}

= 0.05

r = 0.05

t = 3 years

Putting all the values in the formula

Amount = 6000(1+\frac{0.05}{4})^{4\times 3}

Amount = 6000(1+0.0125)^{12}

Amount = 6000\times 1.16075452

Amount =\$ 6964.53\ (Approx)

Therefore the amount becomes $6964.53 after 3 years .


3 0
3 years ago
What is the median and mean amount of sugar? pictures attached
mario62 [17]

Answer:

Step-by-step explanation:

mean is found by adding the numbers and dividing the sum by the number while the median is the middle value of the list ordered in an ascending order

4 0
2 years ago
I don't understand can someone explain
Tomtit [17]
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3 years ago
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