Answer:
Step-by-step explanation:
If the new height is 338m and the helicopter decended 127m to get to that new height then the original height is simply the sum of them both.
H = 338m + 127m
H = 465m
F(x)=5x
normal domain: all real numbers
practical domain: <span>all positive integers
</span>becasue we can substituent with any positive integer in the place of x
It can’t be determined because there is too many numbers
Answer:
ZERO
Step-by-step explanation
Write the given function as
F(x) = ax + b
i.e Y = ax + b
now differentiate Y with respect to X
dY/dX = d (ax + b)/ dx
dY/dX = a
now again differentiate this function with respect to x
so, d^2Y/dX^2 = d^2 (a)/dX^2
= 0 (ZERO)
note: differentiation of constant function is zero
d<em>y</em>/d<em>x</em> = 4 + √(<em>y</em> - 4<em>x</em> + 6)
Make a substitution of <em>v(x)</em> = <em>y(x)</em> - 4<em>x</em> + 6, so that d<em>v</em>/d<em>x</em> = d<em>y</em>/d<em>x</em> - 4. Then the DE becomes
d<em>v</em>/d<em>x</em> + 4 = 4 + √<em>v</em>
d<em>v</em>/d<em>x</em> = √<em>v</em>
which is separable as
d<em>v</em>/√<em>v</em> = d<em>x</em>
Integrating both sides gives
2√<em>v</em> = <em>x</em> + <em>C</em>
Get the solution back in terms of <em>y</em> :
2√(<em>y</em> - 4<em>x</em> + 6) = <em>x</em> + <em>C</em>
You can go on to solve for <em>y</em> explicitly if you want.
√(<em>y</em> - 4<em>x</em> + 6) = <em>x</em>/2 + <em>C</em>
<em>y</em> - 4<em>x</em> + 6 = (<em>x</em>/2 + <em>C </em>)²
<em>y</em> = 4<em>x</em> - 6 + (<em>x</em>/2 + <em>C </em>)²
