Answer:
I think i wanna say one of the fractions
Step-by-step explanation:
9514 1404 393
Answer:
f'(x) = (-6x² -14x -23)/(x² +5x +2)²
f''(x) = (12x³ +42x² +138x +202)/(x² +5x +2)³
Step-by-step explanation:
The applicable derivative formula is ...
d(u/v) = (v·du -u·dv)/v²
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f'(x) = ((-x² -5x -2)(4x +4) -(2x² +4x -3)(-2x -5))/(-x² -5x -2)²
f'(x) = (-4x³ -24x²-28x -8 +4x³ +18x² +14x -15)/(x² +5x +2)²
f'(x) = (-6x² -14x -23)/(x² +5x +2)²
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Similarly, the second derivative is the derivative of f'(x).
f''(x) = ((x² +5x +2)²(-12x -14) -(-6x² -14x -23)(2(x² +5x +2)(2x +5)))/(x² +5x +2)⁴
f''(x) = ((x² +5x +2)(-12x -14) +2(6x² +14x +23)(2x +5))/(x² +5x +2)³
f''(x) = (12x³ +42x² +138x +202)/(x² +5x +2)³
Answer:
<em>2/3 of the jar was filled with flour</em>
Step-by-step explanation:
The question is incomplete. Here is the complete question.
<em>A jar can hold 3/4 of a pound of flour. Austin empties 1/2 of a pound of flour into the jar. What fraction of the jar is filled? Enter your answer in numerical form.</em>
<em />
Given
<em>Amount a jar can hold a = 3/4 of a pound of flour</em>
<em />
<em>If Austin empties 1/2 of a pound of flour into the jar, then the amount emptied into the jar b = 1/2 pounds</em>
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<em>Fraction of jar filled will be expressed as b/a as shown;</em>
<em>b/a = (1/2)/(3/4)</em>
<em>b/a = 1/2 ÷ 3/4</em>
<em>b/a = 1/2 * 4/3</em>
<em>b/a = 4/6</em>
<em>Simplify to the lowest term</em>
<em>a/b = 2*2/2*3</em>
<em>a/b = 2/3</em>
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<em>Hence 2/3 of the jar was filled with flour</em>
You have to check f(1) in each one to see if it's right and for f(4)
