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Furkat [3]
3 years ago
13

Find the nth derivative of (sin x)^3

Mathematics
1 answer:
luda_lava [24]3 years ago
5 0
You'll need to try to find the pattern that applies here.  Find the 1st, 2nd, 3rd, 4th and 5th derivatives.  Is a pattern evident?

n=1:  first derivative of (sin x)^3 is 3(sin x)^2*cos x (which is a product)

n=2:  second deriv. of (sin x)^3 is 3(sin x)^2*(-sin x) + (cos x)*(6sin x cos x)

Please find the 3rd, 4th and 5th derivatives.  Then try to recognize a pattern in the derivatives governed by the counter "n".
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Can someone please help me with this square root problem?
vovikov84 [41]

Answer:

Rational, Rational, Rational, Irrational, Irrational

Step-by-step explanation:

The first question:

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This number is rational

Second:

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This number is rational. It wouldn't be rational if the digits won't repeat.

Third:

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This number is rational

Fourth:

  • 17π

This is irrational. The digits of pi do not repeat, making it irrational.

Fifth:

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Irrational. The square root of a non-perfect square is irrational.

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-Chetan K

5 0
2 years ago
The width of a slot of a duralumin forging is (in inches) normally distributed with μ= 0.9000 and σ = 0.0030. The specification
Lubov Fominskaja [6]

Answer:

a) 9.56%

b) 0.0019

Step-by-step explanation:

a) Find the z-scores.

z = (x − μ) / σ

z₁ = (-0.0050) / 0.0030

z₁ = -1.67

z₂ = (0.0050) / 0.0030

z₂ = 1.67

Find the probability using a chart or calculator.

P(Z < -1.67 or Z > 1.67) = 2 P(Z < -1.67)

P(Z < -1.67 or Z > 1.67) = 2 (0.0478)

P(Z < -1.67 or Z > 1.67) = 0.0956

b) Use a chart or calculator to find the z-score.

P(Z < -z or Z > z) = 0.01

P(Z < -z) = 0.005

z = 2.576

Find the standard deviation.

z = (x − μ) / σ

2.576 = (0.0050) / σ

σ = 0.0019

4 0
3 years ago
Help me help help help help help
Blababa [14]

Answer:

d) 500 scoops

Step-by-step explanation:

looking at the trend of scoops sold per year, 500 seems to be the correct answer. let me know if this is wrong.

8 0
2 years ago
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gregori [183]
Since we have to solve the given formula for h(height) so, the correct option is (a)
4 0
3 years ago
I need help with this please the answers I can choose from are
STatiana [176]

Sum of interior angles of a △ = 180°

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⇒ X° + 100 = 180°

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⇒ X° = 80° (D).

5 0
3 years ago
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