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)
£1 = 99.72 rupees -> £450 = 44874 rupees.
As the post office only has 500 rupee papers, once we calculate out the result, we have to round down to the nearest whole number.
The amount of rupee papers we can change out is : 44874 : 500 = 89.748 (papers)
We round down to 89 papers.
The answer is 95° 36' 36"
Answer:
25x + 5y + z cents
Step-by-step explanation:
1 quarter is worth 25 cents.
1 nickel is worth 5 cents.
1 penny is worth 1 cent.
Therefore, x quarters, y nickels and x pennies will be worth:
(x * 25) + (y * 5) + (z * 1)
= 25x + 5y + z cents
Answer:
sin = opposite / hypotenuse
cos = adjacent/hypotenuse
sin U = 4/5
cos U = 3/5
sin T = 3/5
cos T= 4/5
