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
95+60=155
180 (because there is 180 degrees in every triangle)-155=25
So, the answer is 25
Answer:
Option 5.
Step-by-step explanation:
Ok, start with parentheses and then a 6 x inside it.
Then put a mini 3 on top.
7root all of that- you get option 5.
Here's the derivation.
(f x g)(4) = f(4) x g(4)
So applying the derived equation.
(f x g)(4) = 3(4) - 7 * -2(4) - 6
(f x g)(4) = 5 * -2
(f x g)(4) = -10
Answer:
54
Step-by-step explanation:
4.5x=3(x+27)
4.5x=3x+81
1.5x=81
x=54
