Answer:
LCM of 21,24 and 26 is 2184
Step-by-step explanation:
We need to find LCM of 21,24 and 26
For finding LCM divide the given numbers by a prime number if two of the numbers are divisible by that prime number
2 | 21,24,26
2 | 21,12,13
2 | 21,6,13
3 | 21,3,13
7 | 7,1,13
13 | 1,1,13
| 1,1,1
So, LCM of 21,24 and 26 is: 2 x 2 x 2 x 3 x 7 x 13 = 2184
Factors of 35:
1 and 35
5 and 7
Bad break for you, you're going to have to find some other way to factor your quadratic equation. Try the quadratic formula.
Answer:
a. y= e raise to power y
c. y = e^ky
Step-by-step explanation:
The first derivative is obtained by making the exponent the coefficient and decreasing the exponent by 1 . In simple form the first derivative of
x³ would be 2x³-² or 2x².
But when we take the first derivative of y= e raise to power y
we get y= e raise to power y. This is because the derivative of e raise to power is equal to e raise to power y.
On simplification
y= e^y
Applying ln to both sides
lny= ln (e^y)
lny= 1
Now we can apply chain rule to solve ln of y
lny = 1
1/y y~= 1
y`= y
therefore
derivative of e^y = e^y
The chain rule states that when we have a function having one variable and one exponent then we first take the derivative w.r.t to the exponent and then with respect to the function.
Similarly when we take the first derivative of y= e raise to power ky
we get y=k multiplied with e raise to power ky. This is because the derivative of e raise to a constant and power is equal to constant multiplied with e raise to power y.
On simplification
y= k e^ky
Applying ln to both sides
lny=k ln (e^y)
lny=ln k
Now we can apply chain rule to solve ln of y ( ln of constant would give a constant)
lny = ln k
1/y y~= k
y`=k y
therefore
derivative of e^ky = ke^ky
Answer:
Step-by-step explanation:
Start by rewriting the equation to standard form 
.
.
Factor out the 5, then isolate 
:
.
Therefore, the solutions to this quadratic are:
