Implicit differentiation
take the deritivive with respect to x
first
y+2=(1/2)(x^2)-2sin(y)
take deritivitive
dy/dx+0=1/2(2x)-2(cosy)dy/dx
dy/dx=x-2cosy(dy/dx)
add 2cosy(dy/dx) to both sides
dy/dx+2cosy(dy/dx) =x
undistribute dy/dx
dy/dx(1+2cos(y))=x
divide both sides by 1+2cos(y)

at (2,0)
x=2
y=0




the slope is 2/3
Answer:
8
Step-by-step explanation:
see attached for questions 3's answer
It would be 2.1 hours or about 2 hours.
It says the train travels about 2118 miles per 8 miles. So, divide 2118 by 8, which gives you 264.75 (when you see the word PER it usually indicates to divide). That gives you part A.
Then, you divide 560, (which is t<span>he distance between Columbus, Ohio, and New York) by 264.75 to see how many hours it took, which gives you 2.1152030217...., which simplifies to 2.1. Which gives you the answer for B.
So,
A is 560 and
B is 2.1 or 2
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Answer:
-3
Step-by-step explanation:
Answer:
4 1/3
Step-by-step explanation: