Another courier charges D(w) = C(w) + 20(w -…

Another courier charges D(w) = C(w) + 20(w - [w]) rupees.

Question 82

HardOriginal question

A courier charges $C(w) = 40 + 20[w]$ rupees for a parcel of weight $w$ kg, where $0 < w < 5$ and $[w]$ is the greatest integer not more than $w$ .

Another courier charges $D(w) = C(w) + 20(w - [w])$ rupees. At how many points of $(0, 5)$ is $D$ not continuous?

0

Correct answerYour answer

1

Correct answerYour answer

4

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8

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Show the answer and explanation

CorrectNot quiteAnswer A

Correct answer: A

Worth noting

4 assumes the jumps of $C$ survive; $20(w - [w])$ drops by 20 exactly where $C$ rises by 20, so they cancel.

Ten questions from Continuity & Differentiability, at your own pace.

Ten questions from Continuity & Differentiability, at your own pace.