## Exam-Style Question on Calculus## A mathematics exam-style question with a worked solution that can be revealed gradually |

Question id: 405. This question is similar to one that appeared on an A-Level paper. The use of a calculator is allowed.

(a) Find \( \frac{dy}{dx} \) when:

$$ y= (7-5x^2)^{ \frac12 } $$(b) Find the following integral:

$$ \int (1 - cos3x) dx$$
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