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natita [175]
4 years ago
11

At what point on the curve y=x+2cos x is the tangent horizontal in the interval [-2pi, 2pi]

Mathematics
1 answer:
k0ka [10]4 years ago
8 0
\bf y=x+2cos(x)\qquad \qquad [-2\pi ,2\pi ]\\\\
-----------------------------\\\\
\cfrac{dy}{dx}=1-2sin(x)\implies 0=1-2sin(x)\implies sin(x)=\cfrac{1}{2}
\\\\\\
\measuredangle x=sin^{-1}\left( \frac{1}{2} \right)\implies \measuredangle x=
\begin{cases}
\frac{\pi }{6}\\\\
\frac{5\pi }{6}
\end{cases}

only in the 1st and 2nd quadrants, where sine is positive
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Scale factor word problem<br> Someone please help me!
natima [27]

1. Niles is making a map of his neighborhood. He uses a scale in which 1 cm = 5 km. The distance between his house and the school is 8.5 km.

How many centimeters will there be between his house and school on the map?

1 cm = 5km

8.5 ÷ 5 = 1.7

There will be 1.7 centimeters between his house and school.

3 0
3 years ago
) Mr. Rivera is making a healthy dessert for his nephew who has diabetes. He wants
Rus_ich [418]

Answer:

see below

Step-by-step explanation:

Apple crisp has

8 servings and contains 80 grams of sugar.

80 grams / 8 servings = 10 grams per serving

Greek frozen yogurt has

12 servings  and contains 60 grams of sugar.

60 grams / 12 serving = 5 grams per serving

He should make Greek frozen yogurt

8 0
4 years ago
Read 2 more answers
(PLEASE HELP) The table below - does it represent an exponential function?
Aliun [14]
Short answer: I don't know, but that doesn't mean I can't give you something that you can decide for yourself.
y = 4*2^(2n - 2) is the pattern.
Go for broke. Try n = 4. You should get 256. Let's try it.
y = 4 * 2^(2*4 - 2)
y = 4 * 2^(8 - 2)
y = 4 * 2^6
y = 4 * 64
y = 256 yup it works.

The other end is just as important. Suppose n = 1
Then y = 4 * 2^(2*1 - 2) = 4 * 2^0 = 4*1 = 4 Both work.

If this formula is correct, we can abbreviate it to make your task easier.
y = 4 * 2^(2n - 2)
y = 2^2 * 2^(2n - 2)
y = 2^(2n - 2 + 2)
y = 2^(2n) Now try the two end points again.

n = 4
y = 2^(2*4)
y  =  2^8
y = 256

n = 1
y = 2^(2*1)
y = 2^2
y = 4 which again checks.

so y = 2^(2n) I think is an exponential function.
Sorry my explanation is so long.

6 0
4 years ago
Suppose Point J has a coordinate of -2 and JK equals 4 what are the possible coordinates of Point k
grandymaker [24]
A possible coordinate could be 4.....
5 0
3 years ago
Each bucket holds 325 gallons of water. If it takes 6 buckets to fill a tank, how much water does the tank hold?
Gemiola [76]

Answer:

1950

Step-by-step explanation:

if we do 325 gallons of water times 6 buckets of water we get 1,950 gallons of water  in a fraction  325/1950

hope this helps

8 0
2 years ago
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