The number to represent this would be +16.43, since it is credited to his account instead of deducted.
The general solution of the given higher-order differential equation. y''' − 9y'' 15y' 25y = 0 is Y= c1e^-x +c2e^5x + c3xe^5x
m^3 -9m^2+15m+25=0
Possible rational roots = 1,-1,5,-5,25
Now on putting these possible rational roots which have been found by the discriminant and hit and trial method,
we will check these roots.
m=-1 comes out to be a root of the equation.
m^2-10m+25=0
(m-5)(m+5)=0
(m-5)^2=0
m=5
So the general equation comes out to be
Y= c1e^-x +c2e^5x + c3xe^5x
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-4(x-6) ≤ - 2x+6
-4x-24≤ -2x+6
+2x +2x
-2x-24≤+6
+24 +24
-2x ≤ 30
Divide both sides by -2
and you get....
x ≥ -15
You switch the inequality sign because you're dividing by a negative.
I hope all is well, and you pass! Good luck, rockstar! (:
39. 8 -0.7 are multiplied together so the answer is
(-0.7)^8
= 0.05765 to nearest 100 thousandth. ( using a calculator).
40. 10^4 + 0^12 = 10,000 + 0
= 10,000
The number is 2 because it multiply by 2 and 3
