All categories

4 years ago

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

1 answer:

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 )

You might be interested in

Please help. 35 points.

Jlenok [28]

Answer:

Step-by-step explanation:

7 0

2 years ago

Which of the following would be a reasonable estimate for the height of a skyscraper?

Nikitich [7]

Hello There!

I'm saying it would be A.

Hope This Helps You!
Good Luck :)

- Hannah ❤

7 0

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

SVEN [57.7K]

2.3=1.7x
x is how many times longer the longer side is.
just divide 2.3 by 1.7
it is 1.35294...
round to nearest 10th im assuming, so
it is 1.4 or round however you are told to round.

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.

Gre4nikov [31]

Question 1:
Blank 3: ASA congruence (you have two angles and a side)
Blank 4: CPCTC (corresponding parts of congruent triangles are congruent)

Question 2:
Blank 2: Definition of perpendicular lines
Blank 3: Given
Blank 4: SD = SD (Shared side)
Blank 5: HL Theorem (We have two right triangles)

Have an awesome day! :)

5 0

4 years ago