Day 148: NDA Maths

5 questions (9 parts). Try each one first, then open its answer.

Question 1
Complex Numbers. Asked once: NDA 1 2019 (same type asked 2 times)
4 $A = \{x \in \mathbb{Z} : x^3 - 1 = 0\}$
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Question 2
Complex Numbers. Asked once: NDA 2 2021 (same type asked 2 times)
15 $2a+2\sqrt{a^{2}+b^{2}}$
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Question 3
Differential Equations. Asked once: NDA 2 2021 (same type asked 2 times)
88 $y=A-\frac{B}{x}$
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Question 4 (case study, 3 parts)
Differentiation. Asked once: NDA 1 2023 (same type asked 2 times)
Consider the following for the next three (03) items that follow: Let $f(x)=|\ln x|,\, x\neq1$ .
86 $f(x)$
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87 $f(x)$
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88 $f\circ f(x)$
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Question 5 (case study, 3 parts)
Functions. Asked once: NDA 2 2022 (same type asked 2 times)
Consider the following for the next three (03) items that follow: Let $f(x)$ be a function satisfying $f(x+y) = f(x)f(y)$ for all $x, y \in N$ such that $f(1) = 2$ :
31 $\sum_{x=2}^{n} f(x) = 2044$
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32 $\sum_{x=1}^{5} f(2x-1)$
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33 $\sum_{x=1}^{6} 2^x f(x)$
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Question 1