Let x and y be the two positive numbers. - Their product is 192: x * y = 192 equation 1
- the sum of the first plus twice the second is a minimum: x + 2y
<span>From the first equation, y = 192 / x.
Substitute that into the second equation:
</span>
x + 2y = x + 2(<span>192/x ) = x + 384/x
</span>f(x) is minimum when f'(x) = 0 and f"(x) > 0
f(x)= <span>x + 384/x
</span>
f(x) = 1-384/x^2
<span>1-384 / x^2 = 0
x^2-384 = 0
x^ 2= 354
x = radical 354 = 18.8 here i'm confused why the number is decimal
???/
</span>
140x 0.3= 42
140- 42= 98
So A. $98 is correct.
At the bottom of the motion: The potential energy of the spring is at a maximum since the spring is stretched at its maximum extension. The potential energy due to gravity is at a minimum, since the mass is lifted the least amount above ground.
Answer:
14.4
Step-by-step explanation:
Hope this helps you :)
