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Problem 1 Problem 2 Problem 3 Problem 4 Problem 5 Problem 6 Problem 7 Problem 8 Problem 9 Problem 10 Problem 11 Problem 12 Problem 13 Problem 14 Problem 15 Problem 16 Problem 17 Problem 18 Problem 19 Problem 20 Problem 21 Problem 22 Problem 23 Problem 24 Problem 25 Problem 26 Problem 27 Problem 28 Problem 29 Problem 30 Problem 31 Problem 32 Problem 33 Problem 34 Problem 35 Problem 36 Problem 37 Problem 38 Problem 39 Problem 40 Problem 41 Problem 42 Problem 43 Problem 44 Problem 45 Problem 46 Problem 47 Problem 48 Problem 49 Problem 50 Problem 51 Problem 52 Problem 53 Problem 54 Problem 55 Problem 56 Problem 57 Problem 58 Problem 59 Problem 60 Problem 61 Problem 62 Problem 63 Problem 64 Problem 65 Problem 66

Problem 17 Easy Difficulty

Use the guidelines of this section to sketch the curve.
$$y=x \sqrt{5-x}$$

Answer

There is no inflection point

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Calculus 1 / AB

Essential Calculus Early Transcendentals

Chapter 4

APPLICATIONS OF DIFFERENTIATION

Section 4

Curve Sketching

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Derivatives

Differentiation

Applications of the Derivative

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Problem 15
Problem 16
Problem 17
Problem 18
Problem 19
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Problem 21
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Problem 24
Problem 25
Problem 26
Problem 27
Problem 28
Problem 29
Problem 30
Problem 31
Problem 32
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Problem 34
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Problem 47
Problem 48
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Problem 50
Problem 51
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Video Transcript

for the time problem. Who want to use the guidelines of this section to sketch the curb Fx equals attempt the square root sex. So with this we have the domain being from negative infinity to five. As we can see here. But without looking at the graph, we see that the intercepts. I wait and plug in zero and get zero. We can also plug in five and get zero. So those are gonna be the intercepts. We also want to use um F crime, we know that X can't be greater than five. So we're gonna look at it from attacks and see that The function is going to be increasing until it reaches 3.333. So we see that Um x equaling 3.3 repeating is going to be a local maximum. So we end up getting that. And then we can also look at the second derivative to see that the function is always contact down. So with all this information, we end up getting our final graph right here with the maximum as expected at X equals 3.3 repeating

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James Stewart

Essential Calculus Early Transcendentals

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