Eps in the correct order to help Kendra.
1 answer:
<h3>Answer:</h3>
- 3,200 + 560 + 16 √ [ True ]
- (400 × 8) + (70 × 8) + (2 × 8) √ [ True ]
- (400 × 8) × (70 × 8) × (2 × 8) X [ False ]
- 3,776 √ [ True ]
- 3,200 × 560 × 16 √ [True ]
- (400 + 70 + 2) × 8 √ [ True ]
- (400 × 70 × 2) × 8 X [ False ]
- 28,672,000 X [ False ]
3,200 + 560 + 16 √
(400 × 8) + (70 × 8) + (2 × 8) √
(400 × 8) × (70 × 8) × (2 × 8) X
3,776 √
3,200 × 560 × 16 √
(400 + 70 + 2) × 8 √
(400 × 70 × 2) × 8 X
28,672,000 X
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The critical points of <em>h(x,y)</em> occur wherever its partial derivatives and
vanish simultaneously. We have
Substitute <em>y</em> in the second equation and solve for <em>x</em>, then for <em>y</em> :
This is to say there are two critical points,
To classify these critical points, we carry out the second partial derivative test. <em>h(x,y)</em> has Hessian
whose determinant is . Now,
• if the Hessian determinant is negative at a given critical point, then you have a saddle point
• if both the determinant and are positive at the point, then it's a local minimum
• if the determinant is positive and is negative, then it's a local maximum
• otherwise the test fails
We have
while
So, we end up with