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in Continuity and Differentiability by (28.9k points)
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(i) The function

\(f(x) = \begin{cases} 5 & x ≤ 2\\\ ax + b,2< & x < 10\\ 21 & x≥ 10 \end{cases} \)is 

continuous. Find a and b

(ii) Find \(\frac{dy}{dx}\) (a) if y = sin (xsinx)

(iii) If y = ae" +be' ;show that \(\frac{d^2y}{dx^2}\) - (m + n) \(\frac{dy}{dx}\) + mny = 0

1 Answer

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by (28.2k points)
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Best answer

(i) since f(x) is continuous.

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