Math+19A+-+Review+2+Answers+-+Fall+11

Math+19A+-+Review+2+Answers+-+Fall+11 - Then 3 728 L (728)...

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Math 19A - Review 2 Answers - Fall 11 1.)(a.) f 0 ( x ) = 3 x +1 3 x 2 +2 x +1 (b.) g 0 ( x ) = - 20 x 3 ( x 4 +3) 6 (c.) h 0 ( x ) = 3 x +10 (3 x 2 +2) 3 / 2 (d.) dy/dx = 3(1+4 x 2 - 11 x 3 ) 2( x 3 +1) 3 3 x - 1 (e.) G 0 ( x ) = x sec 2 ( x ) - 2tan( x ) x 3 (f.) s 0 ( θ ) = - sin(2cos( θ ))sin( θ ) (g.) f 0 ( x ) = 3 x sec 3 ( 1+ x 2 )tan( 1+ x 2 ) 1+ x 2 (h.) θ 0 ( t ) = e 5 t cos( t 3 )[5cos( t 3 ) - 6 t 2 sin( t 3 )] (i.) dy/dx = sec(2 x ) e x sec(2 x ) [1 + 2 x tan(2 x )] (j.) h 0 ( s ) = 2ln(3) s 3 · 3 s 4 +5 s 4 +5 (k.) dy/dx = 2 x [1 - ln( x )] 2 (l.) x 0 ( z ) = cosh( z 3 )+9 z 3 sinh( z 3 ) 3 3 z 2 (m.) φ 0 ( t ) = 2 te t 2 1+ e 2 t 2 (n.) g 0 ( θ ) = sec( θ ) (o.) F 0 ( x ) = 1 - x 2 x 4 +3 x 2 +1 (p.) h 0 ( x ) = x x [ln( x ) + 1] (q.) g 0 ( x ) = x cos( x ) [ cos( x ) x - sin( x )ln( x )] (r.) f 0 ( x ) = [ln( x )] x [ln(ln( x )) + 1 ln( x ) ] 2.) f 000 ( x ) = 3 x +9 (2 x +1) 7 / 2 3.)(a.) dy/dx = 2 x + y 2 y - x (b.) dy/dx = 1 - y 2 cos( xy 2 ) 2 xy cos( xy 2 ) (c.) dy/dx = 4 x 3 y - 2 xy 3 5 y 4 +3 x 2 y 2 - x 4 (d.) dy/dx = sin( y 2 ) - 2 xy cos( x 2 ) sin( x 2 ) - 2 xy cos( y 2 ) 4.) total distance traveled: 258 feet speeding up when 5 < t < 6 and when 7 < t 10 slowing down when 0 t < 5 and when 6 < t < 7
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5.) Use L ( x ) = 1 243 ( x - 729) + 9.
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Unformatted text preview: Then 3 728 L (728) = 2186 243 . 6.) 1 . 5 ft/s 7.)(a.)-1 sq.ft/s (b.) 8 ft/s (c.) 69 / 13 ft/s 8.) 0 . 3 in./min 9.) 1 . 125 cm/s 10.) 1 . 2 ft/s 11.) The set of points is: { ( 7 12 + n, 2+ 3 4 ) : n Z } { ( 11 12 + n, 2- 3 4 ) : n Z } 12.) (ln(2) ,-2) 13.) (1 ,-1) 14.) (-1 ,-1) and (1 , 1) 15.) 2 x-3 y = 15 and y = 3 16.) (-5 3 4 ,-5 4 ) , (-5 3 4 , 5 4 ) , ( 5 3 4 ,-5 4 ) , ( 5 3 4 , 5 4 ) 17.) k = 10 e...
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Math+19A+-+Review+2+Answers+-+Fall+11 - Then 3 728 L (728)...

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