Study Pure Mathematics worksheet on Differentiation for A-Level. Useful for revision, homework, and exam preparation in Zimbabwe.
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This is the A-Level Pure Mathematics worksheet from 2022. It is a free worksheet for revision. Time allowed: 1 hour.
A' LEVEL
PURE MATHEMATICS
DIFFERENTIATION TEST 7
TIME: 1 hour
45 marks
Answer all questions.
[If a numerical answer cannot be given exactly, and the accuracy required is not specified in the question, then in the case of an angle it should be given correct to the nearest degree, and in other cases it should be given to 2 significant figures.]
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Sharewell B. C
1. Using $y=\sqrt[3]{x}$ find, without using a calculator, an approximate value for;
a) $\sqrt[3]{9}$
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b) $\sqrt[3]{63}$
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2. Given $y=4 x^{2}-x$, determine the approximate change in $y$ if $x$ changes from 1 to 1.02 .
[5]
3. The radius of a sphere decreases from 6.0 cm to 5.96 cm . determine the approximate change in;
a) the surface area, and
b) the volume.
[7]
4. The time of swing $T$ of a pendulum is given by $T=k \sqrt{l}$, where $k$ is a constant. Determine the percentage change in the time of swing if the length of a pendulum $l$ changes from 32.1 cm to 32.0 cm .
[6]
@ 2022 [SHARE] +263784089807
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