To estimate instanenous velocity you need to know the derivative or the slope at the given point. Is there more information on this question.
Answer:
The author's point of view is reflected in this phrase; "..., in the near future, the United States using the pretext of an allegedly growing threat to the Western Hemisphere, will embark on a long process of increasing the pressure on governments of the Latin American countries to work out additional threats against Cuba."
Explanation:
The author's perspective is seen in his use of words like "pretext," and "allegedly". The author is thus saying that the United States is not straightforward, or completely honest in the claims of a threat to the Western Hemisphere. This phrase also shows that the author believes that the United States was being unnecessarily hard on the Cuban nation by threatening them.
We can sense that the author of the text favors Cuba as against the United States. In order to determine the author's perspective, careful attention ought to be given to certain key words in the text.
Answer:
m<MON = 100°
Explanation:
Given:
Area of shaded sector LOM = 2π cm²
NL = 6 cm
Required:
m<MON
Solution:
m<MON = 180° - m<LOM (angles in a straight line)
We don't know m<LOM. Therefore, let's find m<LOM.
Area of a sector = θ/360 × πr²
Area of sector LOM = 2π cm²
r = 3 cm
θ = m<LOM = ?
Plug in the values
2π = m<LOM/360 × π × 3²
2π = m<LOM/360 × 9π
2π = m<LOM × 9π/360
2π = m<LOM × π/40
Multiply both sides by 40
2π × 40 = m<LOM × π
80π = m<LOM × π
Divide both sides by π
80π/π = m<LOM
80 = m<LOM
m<LOM = 80°
✔️m<MON = 180° - m<LOM (angles in a straight line)
Substitute
m<MON = 180° - 80°
m<MON = 100°
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Explanation:
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The first thing you have to realize is that
tangent is the
slope of a curve on a given point. You can solve for the slope by finding the derivative of the given function. So:
Next use
product rule (I recommend watching videos if you're confused):
![= [sin(x)] + [x*cos(x)]](https://tex.z-dn.net/?f=%3D%20%5Bsin%28x%29%5D%20%2B%20%5Bx%2Acos%28x%29%5D)
Next substitute you x-value (π/2) into your derivative:
![= [sin( \frac{ \pi}{2} )] +[ \frac{\pi}{2}*cos( \frac{\pi}{2})]](https://tex.z-dn.net/?f=%3D%20%5Bsin%28%20%20%5Cfrac%7B%20%5Cpi%7D%7B2%7D%20%29%5D%20%2B%5B%20%5Cfrac%7B%5Cpi%7D%7B2%7D%2Acos%28%20%5Cfrac%7B%5Cpi%7D%7B2%7D%29%5D%20%20)
So our slope at π/2 is 1. Next we use our slope-form and substitute our given value and solve for y-intercept (algebra-stuff)
So we get our equation:
So our answer is E
Feel free to ask any questions.
Hopes this helps!
