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Ivan
3 years ago
13

X = cos(2t) and y = sin(2t) Find the second derivative

Mathematics
1 answer:
Elodia [21]3 years ago
3 0
Dy/dx = (dy/dt) / (dx/dt)
dy/dt = 2cos(2t)
dx/dt = -2sin(2t)

dy/dx = 2cos(2t)/-2sin(2t) = -cot(2t)

d^y/dx^2 = d(-1/tan(2t))/dx = (tan(2t) * 0 - (-1)*2sec^2(2t))/tan^2(2t) = 2sec^2(2t)/tan^2(2t) = 2csc^2 (2t)
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Macy’s is having a sale in which all jeans at $30. The sales tax is 8%. If John buys n pairs of jeans during this sale, the tota
Amiraneli [1.4K]

This expression is correct. It shows the price John pays for the jeans on the left side of the + symbol (30n), and the amount of tax he has to pay on the right side of the symbol (0.08(30n)).

Hope this helps!

3 0
2 years ago
Calculate the area of triangle ABC with altitude BD, given A (−6, 0), B (0, 0), C (0, 6), and D (−3, 3).
nata0808 [166]

Answer:

  • 18 unit²

Step-by-step explanation:

If BD is altitude then AC is the base.

<u>The length of AC is:</u>

  • AC = \sqrt{6^2+6^2} = 6\sqrt{2}

<u>The length of BD is:</u>

  • BD = \sqrt{3^2 + 3^2} = 3\sqrt{2}

<u>The area is:</u>

  • A = 1/2bh
  • A = 1/2 * 6\sqrt{2} *3\sqrt{2} = 18 unit²
4 0
3 years ago
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The front of a box is a square with an area of 175 square units. What would be the best represents S, the length of the edge of
alexira [117]

Answer:

  13.2

Step-by-step explanation:

√175 ≈ 13.2 . . . units

The area of a square is the square of the edge length. Hence, the edge length is the square root of the area.

3 0
3 years ago
Suppose to travel 162 miles in 3 hours .use the formula d=st to find the average speed
Umnica [9.8K]

Distance = Speed x time = 162 x 3 = 486 miles/hour



Answer: 486 miles/hour

6 0
3 years ago
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The lyric, "Historians research more than just the word of one/To learn all sides of history" most closely means that
Ymorist [56]

Answer:

I would say C

Step-by-step explanation:

I said C because when people look for information they look at different sources instead of just one.

8 0
3 years ago
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