Answer:
-1.96312>-2.2360
Step-by-step explanation:
first find -
which is -2.2360679775
now round it to match the lenth of the other problem
-1.96312...
-2.2360...
now remember that the bigger the negitive number, the smaller it really is,
so
-1.96312>-2.2360
Step-by-step explanation:
csc x / (cot x + tan x)
Write in terms of sine and cosine.
(1 / sin x) / [(cos x / sin x) + (sin x / cos x)]
Multiply top and bottom by sin x.
1 / [cos x + (sin²x / cos x)]
Multiply top and bottom by cos x.
cos x / (cos²x + sin²x)
Use Pythagorean identity.
cos x / 1
cos x
That's an expression, so the only thing you can do is simplify it, but that already looks simplified.
<span>, y+2 = (x^2/2) - 2sin(y)
so we are taking the derivative y in respect to x so we have
dy/dx use chain rule on y
so y' = 2x/2 - 2cos(y)*y'
</span><span>Now rearrange it to solve for y'
y' = 2x/2 - 2cos(y)*y'
0 = x - 2cos(y)y' - y'
- x = 2cos(y)y' - y'
-x = y'(2cos(y) - 1)
-x/(2cos(y) - 1) = y'
</span><span>we know when f(2) = 0 so thus y = 0
so when
f'(2) = -2/(2cos(0)-1)
</span><span>2/2 = 1
</span><span>f'(2) = -2/(2cos(0)-1)
cos(0) = 1
thus
f'(2) = -2/(2(1)-1)
= -2/-1
= 2
f'(2) = 2
</span>
The answer is B. 0.8/0.1 = s
The solution is as follows:
s = honey at hand / honey needed for 1 serving
= 0.8 L / 0.1 L
= 8, she can make 8 servings of the recipe
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