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Tolerance The radius $r$ of a circle is measured with an error of at most 2$\% .$ What is the maximum corresponding percentage error in computing the circlesa. circumference?b. area?

A. 2$\%$B. 4$\%$

Calculus 1 / AB

Chapter 3

Differentiation

Section 9

Linearization and Differentials

Derivatives

Campbell University

Harvey Mudd College

Idaho State University

Lectures

03:09

In mathematics, precalculu…

31:55

In mathematics, a function…

01:49

The radius $r$ of a circle…

01:54

01:00

The radius of a circular d…

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06:07

Tolerance The edge $x$ of …

02:04

Tolerance The height and r…

03:30

10:50

The circumference of a sph…

04:38

02:13

The edge $x$ of a cube is …

I look the question in hand, The polar Oh, but it's We have a circle with radius R. Um, so that we make and they're in the mission of our That would be by our plus the are, in which case, we would have Okay, certain with slightly great conference around the area flu. What were given use the percentage error over the mission. The error in miserable with French. Oh, you're Are you hear a point? Oh, too. The questions for a for B. What is the maximum corresponding percentage error in computing? The circumference of the conference is to but, um, the air. Yeah, by we're So what happens with the sea of things on the A over a If this is the case for equal to their pointed to within. So the air is within a point. Let's assume that we're making a there for so we can work with the absent. That would be they think you in the room in regards to at a certain are here. Here. Uh, time the, uh, the river off to part costal with the virus. Two parts. Uh, D c Ever see over cancel for the percentage error. All the differential. The percentage of the air off measurable off the conference is the same as percent. Oh, the radio said the sea by sea with Is there a point to riches? So, during the Christians, what is the mixing? Of course. Polling, percentage error and computing circles Go, Prince Mexico. Cool, uh, foot around the area. The hey, by the way, you and by the time to find two so no d a people to find the on the a r a. You are divided by quit. Cancel, cancel. Cancel With one of the stand here to the, uh, over they are for this you no clue. What's the story with time? 4%. 4% to answer the question. What is the Mexico corresponding percentage Error in computing area Maximum for here? I hope so.

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