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Unformatted text preview: horizontal. (a) y = sin 2 x (b) y = tan x2 x (c) y = cot x2 csc x 8 (7) Let f ( x ) = cos x, x ≥ ax + b, x < (a) Determine a and b so that f is diﬀerentiable at 0. (b) Using the values found above, sketch the graph of f . 9 (8) Let f ( x ) = sin x, x ≤ 2 π/ 3 ax + b, x > 2 π/ 3 (a) Determine a and b so that f is diﬀerentiable at 2 π/ 3. (b) Using the values found above, sketch the graph of f . 10 (9) Let f ( x ) = 1 + a cos x, x ≤ π/ 3 b + sin ± x 2 ² , x > π/ 3 (a) Determine a and b so that f is diﬀerentiable at π/ 3. (b) Using the values found above, sketch the graph of f . 11 (10) Let y = A sin ( ωt ) + B cos ( ωt ), where A , B , and ω are constants. Show that y satisﬁes the equation d 2 y dt 2 + ω 2 y = 0...
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This note was uploaded on 12/09/2009 for the course MA 1024/1324 taught by Professor N/a during the Spring '09 term at NYU Poly.
 Spring '09
 N/A
 Calculus

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