Compute the differential for both sides:
4<em>y</em> - 3<em>xy</em> + 8<em>x</em> = 0
→ 4 d<em>y</em> - 3 (<em>y</em> d<em>x</em> + <em>x</em> d<em>y</em>) + 8 d<em>x</em> = 0
Solve for d<em>y</em> :
4 d<em>y</em> - 3<em>y</em> d<em>x</em> - 3<em>x</em> d<em>y</em> + 8 d<em>x</em> = 0
(4 - 3<em>x</em>) d<em>y</em> + (8 - 3<em>y</em>) d<em>x</em> = 0
When <em>x</em> = 0, we have
4<em>y</em> - 3•0<em>y</em> + 8•0 = 0 → 4<em>y</em> = 0 → <em>y</em> = 0
and with d<em>x</em> = 0.05, we get
(4 - 3•0) d<em>y</em> + (8 - 3•0) • 0.05 = 0
→ 4 d<em>y</em> + 0.4 = 0
→ 4 d<em>y</em> = -0.4
→ d<em>y</em> = -0.1
Answer:
D. x=100 and y=85
Step-by-step explanation:
In a polygon inscribed in a circle the sum of opposite sides is equal to 180 degrees
Answer:
infinity
Step-by-step explanation:
Given the function
Limit b⇒0 (Sin b)/b³
First substitute the value of b into the function to have
Limit b⇒0 (Sin b)/b³
= sin 0/0³
= 0/0 (Ind)
Apply lhospital rule
Limit b⇒0 (d./db(Sin b))/(d/db(b³))
=>Limit b⇒0 (cos b)/3b²
Substitute the value of b
Cos 0/3(0)²
= 1/0
= infinity
Hence the answer is infinity
Round to 3.14. Hope this helps
Answer:
15, 840.
Step-by-step explanation:
-HCM(GCM)
105's factor are 1, 3, 5, 7, <em>15</em>, 21, 35, 105.
125's factor are 1, 2, 3, 4, 5, 6, 8, 10, 12, <em>15</em>, 20, 24, 30, 40, 60, 120.
so, the answer is 15!