Answer:
g
Step-by-step explanation:
The maximum value occurs at gradient 0 (the stationary point).
In f this has a value (y) of 6.
In the equation example we have to differentiate:
dg(x)/dx = -x + 4
Gradient is 0 so 4 - x = 0 so x = 4
Plug g(4)=our maximum=-(1/2)4^2 + 4(4) + 3 = -8 + 16 + 3 = 11
11 > 6 so g has greater maximum.
If you can't read it, I'll do my best to translate:
Z) 10^2 + 5^2 = 125
√125 = 11.18 = Z
Y) tan-1(5/10) = 26.57°
90 + 26.57 = 116.57
180 - 116.57 = 63.43°
5 ÷ sin(63.43) = 8.88 = Y
X) 11.18^2 + 8.88^2 = 203.8468
√203.8468 = 14.28
14.28 - 10 = 4.28 = x
All numbers are rounded to 2 decimal places, if you need any explanations for why I did something then just let me know :)
I hope this helps!
Answer:
wooooooooooooooooooooooooooo
Answer: The first number is 4
Explanation: Since the sum of the two numbers is ten, x + y = 10
Also, since the difference of the two numbers is two, then x - y = 2
Since x - y = 2, another way to write that is x = y + 2 and since x is exactly the same as y + 2, we can plug in "y + 2" in place of x in the first equation (x + y = 10) to get (y + 2) + y = 10. Then we solve this equation by combining like-terms.
2y + 2 = 10
2y = 8
y = 4
Since x = y + 2, x = 4 + 2 or x = 6
I hope this helped you!