t4(1) - p = 6? (d) If the current price is p = 6, will...

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Methods of Calculus, MAC3233 Test 4 March 16, 1993 Instructions: Do not write your answers on this paper, use separate answer sheets. This is a closed-book test. No calculators are allowed to be used. (1) (20 points) The function f ( x ) = ln x x has a relative extreme point for x > 0. Find the x -coordinate of the point and determine whether it is a maximum or minimum. (2) (15 points) The demand function is q = 400(116 - p 2 ). (a) Find E ( p ), the elasticity of demand. (b) Find E ( p ), the elasticity of demand. (c) Find E (6). Is demand elastic, or inelastic at
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Unformatted text preview: p = 6? (d) If the current price is p = 6, will revenue increase or decrease if p is raised slightly? (3) (10 points each) Solve: (a) Z e 2 x dx (b) Z 5 x dx (c) Z 3 2 (2 + x ) dx (4) (15 points) The marginal cost function is MC ( x ) = x 2-2 x + 3. Find the total cost of producing 3 additional units if 1 unit is currently being produced. (5) (20 points) Find the area of the region bounded by the curves y = x 2 + 2 x-1 and y = 4-2 x . 1...
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