02Midterm8B-Sample

# 02Midterm8B-Sample - University of California Riverside...

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University of California, Riverside Department of Mathematics Midterm 1 Mathematics 8B - First Year of Calculus Sample 2 Instructions: This exam has a total of 60 points. You have 50 minutes. You must show all your work to receive full credit. You may use any result done in class. The points attached to each problem are indicated beside the problem. You are not allowed books, notes, or calculators. Answers should be written as p 2 as opposed to 1 : 4142135 ::: . The following formulae may be useful: for any A; B , we have sin( A + B ) = sin( A ) cos( B ) + cos( A ) sin( B ) ; cos( A + B ) = cos( A ) cos( B ) ° sin( A ) sin( B ) ; tan( A + B ) = tan( A ) + tan( B ) 1 ° tan( A ) tan( B ) ; tan ° A 2 ± = sin( A ) 1 + cos( A ) = 1 ° cos( A ) sin( A ) ; sin ° A 2 ± = ± r 1 ° cos( A ) 2 ; cos ° A 2 ± = ± r 1 + cos( A ) 2 ; sin(2 A ) = 2 sin( A ) cos( A ) ; cos(2 A ) = cos 2 ( A ) ° sin 2 ( A ) ; cos(2 A ) = 2 cos 2 ( A ) ° 1 ; cos(2 A ) = 1 ° 2 sin 2 ( A ) ; tan(2 A ) = 2 tan ( A ) 1 ° tan 2 ( A ) 1. Given the functions f ( x ) = 2 x 3 x ° x 2 and g ( x ) = p 3 x ° 1 , (a) (6 points) Find the domains of

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