1 - 2 4 Find the derivatives of the given functions(a y =...

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Take-Home Quiz 1 Course: Math141 Name: NO Work, No points. Square or Circle your final Answer. 1. Find a formula for the inverse of the given functions. (a) f ( x ) = x 2 + 4 x + 9 , x ≤ - 2 (b) g ( x ) = 6 x - 4 3 x + 4 (c) h ( x ) = - 2 x + 4 + 1 1
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2. Find ( f 1 ) ( a ). (a) f ( x ) = 3 x 3 + 5 x + 2 , a = 2 (b) f ( x ) = 10 x 3 + 15 sin parenleftBig π 2 x parenrightBig - 2 cos parenleftBig π 2 x parenrightBig , a = 25 3. Find the limit. (a) lim x 5 - ln (25 - x 2 ) = (b) lim x →∞ bracketleftbig ln (3 x 2 + 5 x - 1) - ln (3 x 2 + 10 x + 20) bracketrightbig = (c) lim
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Unformatted text preview: 2 4. Find the derivatives of the given functions. (a) y = ln r 2 x + 5 2 x-5 (b) f ( x ) = (ln (cos x )) 4 (c) g ( x ) = (2 x + 1) 8 ( x-2) 5 sin 2 x √ 5 x-1 3 5. Evaluate the integral. (a) i sec 2 x 4 + tan x dx = (b) i e 2 e 1 x (ln x ) 2 dx = (c) i x cos [ln ( x 2 + 1)] x 2 + 1 dx = 4...
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