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Digiron [165]
4 years ago
5

Find an equation of the tangent line to y = 2 sin x at x = _/6

Mathematics
1 answer:
lys-0071 [83]4 years ago
5 0
Y o = 2 sin ( π/6 ) = 2 * 1/2 = 1
x o = π / 6
y ` = 2 cos x = 2 cos (π/6) = 2 * √3 / 2 = √ 3;
m = √3
An equation of the tangent line is:
y - y o = m ( x - x o )
Answer:
y - 1 = √3 ( x - π/6 )
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Which of the following would be a reasonable estimate for the height of a skyscraper?
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4 years ago
A tiny area on a computer chip measures 2.3 mm by 1.7 mm. About how many times longer is the longer dimension than the shorter d
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8 0
4 years ago
Read 2 more answers
What would be the equation of the cannonball’s path if it was launched with the same velocity, but from the ground instead?
natita [175]

The quadratic equation cannonball’s path if it was launched with the same velocity, but from the ground instead would be given by:

h(t) = -4.9t^2 + 19.8t

<h3>What is the quadratic equation for the height of a projectile?</h3>

Considering the gravity, it is modeled by:

h(t) = -4.9t^2 + v_0t + h_0

In which:

  • v_0 is the initial velocity.
  • h_0 is the initial height.

For this problem, we want:

  • The same initial velocity, hence v_0 = 19.8.
  • Launched from the ground, hence h_0 = 0.

Then, the equation is:

h(t) = -4.9t^2 + 19.8t

More can be learned about quadratic equations at brainly.com/question/24737967

3 0
3 years ago
Please help with both questions thank you.
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Question 1:
Blank 3: ASA congruence (you have two angles and a side)
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Question 2:
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Have an awesome day! :)
5 0
4 years ago
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