What are the Errata in Thomas' Calculus 11th Edition?

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The discussion centers around two errata found in the book "Thomas' Calculus Early Transcendentals Media Upgrade 11th edition." The first erratum concerns a figure on page 179, which is criticized for being misrepresented as a photograph when it may be an artist's rendition. The second erratum involves a statement on page 242 regarding the approximation of the square root of 3, where the claim that "the linearization gives 2 as the approximation for √3, which is not even accurate to one decimal place" is debated. Participants argue over the definitions of accuracy in terms of decimal places versus significant digits, with some asserting that the author's statement is misleading. The conversation highlights the nuances in mathematical accuracy and the interpretation of approximations.
  • #31
I can't find that example in the book, what section is it in? In any case yeah a (ghost) minus
sign is factored out in front & put back in in the end, if you tell me the section I can check if
my version also forgot the minus sign.
 
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  • #32
Page 297, section 4.4 Concavity and Curve Sketching, Example 8. I would appreciate confirmation. Even better would be if someone has the 12th edition to see if it is fixed.
 
  • #33
In my book they only go up to example 7 in that section, wonder why? :-p
 
  • #34
Here's another minor erratum. On page 306 in the solution to example 4, the 6th line on the page it refers to Figure 4.37. It should say Figure 4.39.
 
  • #35
I note that on page 327 in the table in the middle of the page, that 'Number of correct digits' is used as a measure of accuracy. This is in an approximation to the value of \sqrt{2}.
 
  • #36
Here is an obvious typo. On page 470 the first line of equations in the section entitled "The Differential Form", it has:

S = \int_{c}^{d}2\pi x\sqrt{(\frac{dx}{dy})^2} dy

it should be:

S = \int_{c}^{d}2\pi x\sqrt{1 + (\frac{dx}{dy})^2} dy
 
  • #37
Here's a good one. On page 860 in the discussion of torque, he writes:

Thomas' Calculus said:
When we turn a bolt by applying a force F to a wrench (Figure 12.32), the torque we produce acts along the axis of the bolt to drive the bolt forward.

The figure shows the torque vector presumably driving the bolt forward as if it were a force and the bolt presumably moving forward because it is threaded in such a way as to make the author's words seem reasonable. However, if the bolt had been threaded the other way, I suppose the torque would drive the bolt backwards, a rather difficult thing to explain.
 

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