Day 11: NDA Maths

5 questions (6 parts). Try each one first, then open its answer.

Question 1
Statistics. This type asked 4 times: NDA 1 2018, NDA 1 2021, NDA 2 2022, NDA 2 2026. This one: NDA 2 2026
110 $If the mean of 50 observations is 40 and the standard deviation is 8, then what is the coefficient of variation?$
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Question 2 (case study, 2 parts)
Definite Integration. This type asked 4 times: NDA 1 2017, NDA 1 2021, NDA 1 2024, NDA 1 2026. This one: NDA 1 2026
For the next two (02) items that follow: Let $f(x)=\sin x$ and $g(x)-f(x)=f(4-x)$ .
93 $\int_0^4\dfrac{f(x)}{g(x)}dx$
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94 $\int_0^4\dfrac{f(4-x)}{g(4-x)}dx$
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Question 3
Functions. This type asked 4 times: NDA 1 2022, NDA 2 2023, NDA 1 2024, NDA 1 2026. This one: NDA 1 2026
80 $2f(x)+f(1-x)=x$
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Question 4
Height & Distance. This type asked 4 times: NDA 1 2017, NDA 1 2018, NDA 2 2018, NDA 1 2026. This one: NDA 1 2026
39 $A plane is observed to be approaching the airport. It is at a distance of 10 km from the point of observation and makes an angle of elevation of 67.5°. What is the height of the plane above the ground?$
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Question 5
Limits & Continuity. This type asked 4 times: NDA 1 2020, NDA 1 2022, NDA 1 2023, NDA 1 2026. This one: NDA 1 2026
72 $\lim_{x\to1}\dfrac{x^{(n^2-1)}-1}{x^{(n+1)}-1}$
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Question 1