Answer:
Check attachment for orderliness of question
Step-by-step explanation:
We want to the equation in an exact form
M(x, y) dx + N(x, y) dy = 0.
xy² dy/dx = y³− x³
Cross multiply
Then,
xy²dy=(y³-x³)dx
xy²dy - (y³-x³)dx = 0
xy²dy + (x³-y³)dx=0
Therefore,
(x³-y³)dx + xy²dy=0
Can only be an exact equation if and only if
dM/dy=dN/dx
From the equation
M=(x³-y³)
Then, dM/dy=-3y²
Also, N=xy²
dN/dx=y²
Since dM/dy ≠ dN/dx
Then it is not an examct equation and we can say
M≠(x³-y³)
And
N≠(xy²)
Answer:
10,100
Step-by-step explanation:
Rounding off to the Nearest hundred is giving a number which ends as 5600 or 6700 etc. To round a number to its nearest hundred you have to first look at the tenths place ( in this case 53) if a number is 50 or above you round it to the next hundred example - 5678 rounded to the nearest hundred is 5700. If a number is below 50 example - 1348, you round it to the same hundred - 1300.
Hope this helps!
Good morning ☕️
Answer:
Step-by-step explanation:
35r-21 < -35r+19
⇌ 35r + 35r < 19 + 21
⇌ 70r < 40
⇌ r < 40/70
⇌ r < 4/7
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:)
Answer:
1/4th
Step-by-step explanation:
This comes from knowing the unit circle in both radians and degrees. However, you could also calculate it from knowing that 360 degrees is 2
radians. What you'll find is that 
radians is 90 degrees, or 1/4th of the circle. This means that an arc measuring radians will be 1/4th of the entire circumference.
I hope this helps!
