### 1. Multiple-Choice, Not Randomized, One Answer.

- Green
- Green means “go!”.
- Red
- Red is universally used for prohibited activities or serious warnings.
- White
- White might be hard to see.

What color is a stop sign?

When this

`<exercises>`

division is hosted on Runestone Academy, it will be enabled for group work. See group selection and submission features at the end of the division. (2023-07-03: experimental.)- Green
- Green means “go!”.
- Red
- Red is universally used for prohibited activities or serious warnings.
- White
- White might be hard to see.

What color is a stop sign?

- Red
- Red is a definitely one of the colors.
- Yellow
- Yes, yellow is correct.
- Black
- Remember the acronym…ROY G BIV. “B” stands for blue.
- Green
- Yes, green is one of the colors.

Which colors might be found in a rainbow? (Note that the radio buttons now allow multiple buttons to be selected.)

Hint.

Do you know the acronym…ROY G BIV for the colors of a rainbow, and their order?

- Green
- Green means “go!”.
- Red
- Red is universally used for prohibited activities or serious warnings.
- White
- White might be hard to see.

What color is a stop sign? [Static versions retain the order as authored.]

- Red
- Red is a definitely one of the colors.
- Yellow
- Yes, yellow is correct.
- Black
- Remember the acronym…ROY G BIV. “B” stands for blue.
- Green
- Yes, green is one of the colors.

Which colors might be found in a rainbow? (Note that the radio buttons now allow multiple buttons to be selected.) [Static versions retain the order as authored.]

Hint.

Do you know the acronym…ROY G BIV for the colors of a rainbow, and their order?

- \(\sin^2(x)+832\)
- Remember that when we write \(+C\) on an antiderivative that this is the way we communicate that there are
*many*possible derivatives, but they all “differ by a constant”. - \(\sin^2(x)\)
- The derivative given in the statement of the problem looks exactly like an application of the chain rule to \(\sin^2(x)\text{.}\)
- \(-\cos^2(x)\)
- Take a derivative on \(-\cos^2(x)\) to see that this answer is correct. Extra credit: does this answer “differ by a constant” when subtracted from either of the other two correct answers?
- \(-2\cos(x)\sin(x)\)
- The antiderivative of a product is not the product of the antiderivatives. Use the product rule to take a derivative and see that this answer is not correct.

Which of the following is an antiderivative of \(2\sin(x)\cos(x)\text{?}\)

Hint.

You can take a derivative on any one of the choices to see if it is correct or not, rather than using techniques of integration to find *a single* correct answer.