Day 253: NDA Maths

5 questions (8 parts). Try each one first, then open its answer.

Question 1
Differential Equations. Asked once: NDA 1 2024
71 $y_1(x)$
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Question 2
Differentiation. Asked once: NDA 1 2026
76 $\sqrt[4]{y}=x+\sqrt{x^2+4}$
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Question 3
Functions. Asked once: NDA 2 2026
89 $f(x) = x^n + k$
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Question 4 (case study, 3 parts)
Height & Distance. Asked once: NDA 2 2022
Consider the following for the next three (03) items that follow: ABC is a triangular plot with AB = 16 m, BC = 10 m and CA = 10 m. A lamp post is situated at the middle point of the side AB. The lamp post subtends an angle 45° at the vertex B.
40 $What is the height of the lamp post?$
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41 $\frac{AB}{\sin C}$
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42 $\cos A + \cos B + \cos C$
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Question 5 (case study, 2 parts)
Indefinite Integration. Asked once: NDA 2 2025
For the following two (02) items: Let $u=\int e^x\cos x\,dx$ and $v=\int e^x\sin x\,dx$ .
85 $u+v$
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86 $\dfrac{du}{dx}=-v$
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Question 1