Let $f(x)$ be a twice differentiable function over $[a, b]$ with arc length $l$. show that there exists a value $c \in [a, b]$ such that the angle $\theta$ between the tangent line and the horizontal line at $x = c$ satisfies $|\cos\theta| = \frac{b-a}{l}.$

walter needs to make at least 5 more cookies but no more than 40. 5 ≥ x ≥ 40;

step-by-step explanation:

walter has to make a minimum of 20 cookies. he already has 15 cookies made, so he must make 5 more to meet the minimum.

the maximum amount of cookies he can make is 55. he already has 15, so he has to make no more than 40 more cookies to meet the maximum.

yes because there is exactly one y value for every x value

for function there can't be more than one value for every x value

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step-by-step explanation: