3 years ago

What is the equation of this graph

Mathematics

1 answer:

son4ous [18]3 years ago

4 0

Answer:

y=-(2/3) + 1

Step-by-step explanation:

-(2/3) is slope

1 is y intercept

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Ex 2.8<br> 3. find the maximum value of y for the curve y=x^5 -3 for -2≤x≤1

harkovskaia [24]

$y=x^5-3\\ y'=5x^4\\\\ 5x^4=0\\ x=0\\ 0\in [-2,1]\\\\ y''=20x^3\\\\
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The value of the second derivative for $x=0$ is neither positive nor negative, so you can't tell whether this point is a minimum or a maximum. You need to check the values of the first derivative around the point.
But the value of $5x^4$ is always positive for $x\in\mathbb{R}\setminus \{0\}$ . That means at $x=0$ there's neither minimum nor maximum.
The maximum must be then at either of the endpoints of the interval $[-2,1]$ .
The function $y$ is increasing in its entire domain, so the maximum value is at the right endpoint of the interval.

$y_{max}=y(1)=1^5-3=-2$

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4 years ago

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What is the diameter of a tire in inches given the following data: P265/90R22 (25.4mm/ inch) a) 499 inches b) none of the other

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Answer:

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