Check off the methods of differentiation required, and complete the derivative.
1 answer:
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The product is a bit less than the estimate. In fact, 7.69 is less than 8, and if you start with an equality, i.e.
you can multiply both sides by a positive number, and the inequality will still hold:
Answer:
bottom side (a) = 3.36 ft
lateral side (b) = 4.68 ft
Step-by-step explanation:
We have to maximize the area of the window, subject to a constraint in the perimeter of the window.
If we defined a as the bottom side, and b as the lateral side, we have the area defined as:
The restriction is that the perimeter have to be 12 ft at most:
We can express b in function of a as:
Then, the area become:
To maximize the area, we derive and equal to zero:
Then, b is:
<h2>Answer:</h2>
Figure B
<h2>Step-by-step explanation:</h2>The Pythagorean Theorem is , where c is the longest side of the triangle (the hypotenuse).
To find the side length of each square, you have to square root the area of each square. This means that Figure A has side lengths of 3, 6 and 8 units. Figure B has side lengths of 5, 12 and 13 units.
In Figure A, if the triangle is right-angled, the equation must be correct. 9 + 36 = 45. 45 is not equal to 64, so the triangle is not right-angled.
In Figure B, if the triangle is right-angled, the equation must be correct. 25 + 144 = 169. 169 is 13 squared, so the triangle is right-angled.
Alternatively, as you are already given the square values for each side length, there is no need to square root and square again. You can just test if the two smaller areas equal the larger area, but the explanation above uses a more detailed example of the Pythagorean Theorem.