University:
Santa Ana College
Course:
MATH 150 | Calculus for Biological, Management and Social Sciences
Academic year:

2023
Views:

50

Pages:

2
Author:

Maikutlotpcm

Final Exam Review Math 150 1) Evaluate MR(x) for p(x)   x  3 in dollars at the production level x = 25 10 2) Determine the equation of the tangent line to f (x)  (3x  2)4 at ( 1 , 1 )  3) Find f (x) if f (x)  5x 3e x  4) Use implicit differentiation to find dy/dx: 3x 2  5x  8y 3  0  5) Determine E(p) given d( p) 1250  p2 and price p = 5  6) Determine any inflection points, as ordered pairs: f (x)  x 3  9x 2  24x 18  7) Determine  (5 x  2x 3 / 2 )dx 8) Find the area under f (x)    1 on [ 1 , 4 ] x 9) Find the area bounded by: y  x  2 and y  x 2  4  10) Given the supply function s(x)  0.05x 2 15 and the demand function d(x)  2542  0.02x 2 find the equilibrium point.    11) Given the supply function s(x) = 0.45x + 30 and the demand function d(x) = - 0.25x + 240 find the consumer’s surplus 12) Find f x (1,2) given f (x, y)  (7x  2y)4 13) Find f xy (x, y) given f (x, y)  5x 3 y  xe y  2 14)  Evaluate:  4x 1 15) Evaluate: y 2 dx 3 2   (6x 0 0  3 2 2x y  9e y)dxdy (keep answer exact!) Answers: 1) MR(25) = –2 2) y = 12x –11 3) 5x3ex 15x2ex = 5x 2 e x (3  x) 6x  5 6x  5 or  2 24y 24y 2 2 2p 5) E( p)  1250  p 2 4) 6) Inflection point: (3,0) 3/ 2 7) 10x 3 5/2  4x 5 8) Area = 2 9) 125/6 10) (190 , 1820 ) 11) $11,250 12) 756 2 y 13) 15x  e 14) 15y 2 15) 369  81e 4 4 c E(5)=2/49 =0.041

Math 150 Final Exam Review

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