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A steady wind blows a kite due west. The kite's heightabove ground from horizontal position $x=0$ to$x=80$ ft is given by $y=150-\frac{1}{40}(x-50)^{2}$ . Find thedistance traveled by the kite.

$L=10\left[\frac{3 \sqrt{13}}{4}+\frac{5 \sqrt{29}}{4}-\ln \left|\frac{\sqrt{13}-3}{\sqrt{29}+5}\right|\right] \approx 122.76$

Calculus 2 / BC

Chapter 7

APPLICATIONS OF INTEGRATION

Section 4

Arc Length

Applications of Integration

Missouri State University

Campbell University

Harvey Mudd College

Idaho State University

Lectures

04:33

Grady is flying a kite on …

01:14

A kite $ 100 ft $ above th…

01:38

A kite 100 $\mathrm{ft}$ a…

02:26

Use a calculator to find t…

02:23

Kendra is flying a kite. T…

01:53

A surveyor stands 80 feet …

03:05

For the following exercise…

04:26

Airplane in a wind An airp…

01:39

Elevation of a Kite A man …

01:47

Elevation of a Kite $A$ ma…

07:05

A boy is flying two kites …

00:40

A plane rises from take-of…

01:07

Tyler is flying a kite on …

02:17

Flying Kites $A$ boy is fl…

05:21

mmh A kite is hovering ove…

03:21

A plane flying due east at…

02:52

Finding Height Two observe…

03:52

A plane is located $x=40$ …

10:18

Flying a Kite Inge flies a…

So we have to complete the lens thrown by Kai. Okay. And the phone? Sure or a part was that I tree before Lowe was given s by disfunction. That is F off exit goes to 1 15 minus X minus Q b. Who will swear way 40? Okay, s will be flown zero. Really? That means we have to find enough let on the part of a fuller by the kite from excellent 0 to 80. So for their first, let's differentiate this girl. So unless off extremely beginning as a physician off This created a a zero and the physician on the Syrian minus two by 40 x minus soupy. Okay. Did you fight? So beginning when we come in peace urgently needed me minus one by Burundi in two x minus two piece today. Is that the flex? Can you In the land terror with Right. Okay, So any indication 0 18 We'll get Oh, no. What a blessed US dinner doing first question introduced this little sweat on that city x minus b. Well, it's where be right away when people aspire to go the youngers. Okay, so we everyone beginning this fall, chairman can be a little Be interested by the topic. So for that you have to do substitutions. Let oh, you that he was 21 bite would be into X minus 30. Okay, so this is you. So do you become You will become essentially the sensation of extra. If you want to do, you will become be X Do you have the right to be Okay? So let's put these user every base and Children Generally word says Well, so if you put the exclusive zero Lord NVIDIA zero my masterpiece I told my team I would be so the lower limit for a chance to my despite and for a limited protect city for a piece of 80 it is my distributed with parties. If I feel like the movie, huh? And you do write down essentially this will be Yeah you just want ds you So down in the gutter become one but you sweat and you will be close to B s a ds make peace a week and I get todo indie ate this so every be century. So the integration off this we can write it down this indication off. Okay, so that's a mystery. We're going to you. So it should be a Q 40 because the exhibit or did you so that one day we were being manipulated by this? Okay, so we can write it down here, so that will be 20. An indication off this quantity will be indication of this is essentially but hey, might do is one here. Okay, so that will be won. By who? Okay, you rude off one. Bless you. Square. Okay. Plus, it's whereby Ways once, if they're to become unbearable and you bless you don't What? This useless Forget. So before the Lord delivered at zero, because minus five by two and a little desk Now let's is defined for the service in the fight And for the old are you 0% you see, half is also there. Half is also that for me. Take half You get half home. One debate you do you go and we can put these use people decide disorder. You think to my fortunate TV getting okay, you go. It's become nine by four. So that tartine by full yes and see you? Yes, Buddha turning my full. And in my for So that is the problem. It's the airport wait for the Lord limits. So for normally, every word minus pi Americans of this truth commission Chili. Oh, this is my list of the C B minus. If you would consider to be minus five by two. Good going, we're going to get my four. Okay? Yes, I know, you know. Yeah. So that will be minus five. Do less. We'll go or be my full. That doesn't use the apple. Anything for this simplified this entire expression. Okay, so you prop 30 do, Then after the long everything is that would be 1 22 point. Yeah. Okay, so there is no Mr Seven by that. Using this from Chef from Exit you.

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