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Ernst_Test_3_Fall_2006

# Ernst_Test_3_Fall_2006 - TEST#3 MATH 101 JUNE 8 2007 NAME...

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TEST #3 MATH 101 JUNE 8, 2007 NAME 13 f?t C} r::>;, chef :=JU 11 e... 8'-1-1.. ZOd 'f/- o \j 'R ::::. 1. (6 pts) Ohm's law for electrical circuits like the one in the figure below states that V = JR, where V is the voltage, 1 is the current in amperes, and R is the resistance in ohms. Suppose that the resistance R is held constant. Find the rate of change of voltage with respect to the current. (dV/dl) 6\.\ -7 V cl1: - R A\J 1- - -:- J--r- I. 2. (9 pts) A spherical balloon is being inflated at a rate of 2 in3 / sec. At what rate is the diameter of the balloon changing when the diameter is 8 in? (Volume of a sphere is; V = 4 7r r3 ) 3 , ,Ir -- -z. J, Z == L-t'1lr -z. d.r "":.. -- 1 " cl \;;;. c.\ t:: 41\',- c~, -z - - CJ t: -: L/ rrr (/.{) 2- 6- Qr-::.J. \::::.- L. \f~ i I'tr (~)3 \J~ ~ ~:s d. \J 7( ( ~ z.\ ~c\ <1 t ::: -z; 30-) (f\; ~ l\,"",X dd - d.t: ~ = 7( (~')~ c\c\ ~ _~ '''j M /:" G:, l\1\. - .sa -'\f see. 6.. t 1

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3. (8 pts) A particle moves in a horizontal line according to the position function, s(t)=t2 -6t+12 (em). a. When is the particle at rest? (Find the velocity.) s'f-£':::!2+-(;' -1:::=3 C)=2-L-c' &:'-=26 b. State the intervals where the particle moves to the right.
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Ernst_Test_3_Fall_2006 - TEST#3 MATH 101 JUNE 8 2007 NAME...

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