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2 years ago

Calculus:Derivatives

1 answer:

8 0

(x − 8)(y − 4) = 50, so y = 4 + 50 x−8 . Then A(x) = x 4 + 50 x − 8
x > 8. A 0 (x) = 4 − 400 (x − 8)2 , so A 0 (x) = 0 gives x = 18.
A 00(x) = 800 (x − 8)3 > 0
so the function is concave up, so x = 18 is the absolute minimum. When x = 18, y = 9.

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Answer:

Area A = 72.25 $\pi$ sq. units

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Step-by-step explanation:

The diameter, d of the circle is given to be 17mm.

Since, 2r = d, where r is the radius r = $\frac{17}{2}$ mm.

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Therefore, A = $\pi \times (\frac{17}{2}) ^2$ = 72.25 sq.mm.

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If m∠F = 90° and m∠G = 70°, then ∠F and ∠G are not supplementary.

miss Akunina [59]

a) Proof by contradiction is different from traditional proof as it accepts a single example showing that a statement is false, instead of having the need to derive a general relationship for all input values.

b) The statement is true by contradiction as the sum of the measures is of 160º, and not 180º.

<h3>What are supplementary angles?</h3>

Two angles are called supplementary angles if the sum of their measures has a value of 180º.

The measures of the angles in this problem are given as follows:

m∠F = 90°.

m∠G = 70°.

Then the sum of the measures of this angles is given as follows:

90 + 70 = 160º.

Which is a different sum of 160º, confirming the statement that the angles are not supplementary by contradiction.

A similar problem, involving proof by contradiction and supplementary angles, is presented at brainly.com/question/28889480

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