A box of cereal weighs 600 grams. How much is this weight in pounds. Explain or show your reasoning.
1 answer:
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The values of x and y are 70/22 and 30/22 respectively by using the first-order condition of differential calculus.
<h3>What is the first-order condition in differential calculus?</h3>A first-order differential equation is represented by the equation with 2 variables x & y, including its function f(x,y) specified on a xy-plane.
Given that:
Let us first differentiate the above equation with respect to x, we have:
(multiply by -1)
44x - 22y = 110 ------ (equation 1)
Now, differentiating with respect to y, we have:
22x - 22y = 40 ----- (equation 2)
Now, we have a system of equations:
44x - 22y = 110
- ---- ( subtracting equation 2 from 1; elimination method)
<u> 22x - 22y = 40 </u>
<u>22x + 0 = 70 </u>
<u />
x = 70/22
Replacing the value of x into equation (1), we have:
44x - 22y = 110
44(70/22) - 22y = 110
140 - 22y = 110
140 - 110 = 22y
30 = 22y
y = 30/22
Learn more about the first-order conditions in differential calculus here;
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The sine function has a minimum value of -1, so f(x) = 4sin( ) -1 will have a minimum value of -5.
g(x) obviously has a minimum value of -3.
h(x) has a squared term that cannot be negative, so its minimum value is +4.
f(x) has the smallest minimum value.
g(x) obviously has a minimum value of -3.
h(x) has a squared term that cannot be negative, so its minimum value is +4.
f(x) has the smallest minimum value.