MAC_1147_Fall_11_PreCalculus_Final_Exam_Review

MAC_1147_Fall_11_PreCalculus_Final_Exam_Review - MAC 1147...

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Unformatted text preview: MAC 1147 Fall 11 Ref: 637049 Mr. Guillen PreCalculus Final Exam Review PreCalculus Final Exam will be on 10/28/11 and covers the following sections: 9.4, 9.6, 10.1, 10.2, 10.3, 10.4, 11.1, 11.2, 11.3, 11.7. Perform the matrix operation. 1) Given A =- 7 6- 4- 5 and B = 7 4- 4 10 , find A - B. 1) 2) Given A =- 3 2 0 2 , find 3A. 2) 3) Given A = 3 3 2 6 and B = 0 4- 1 6 , find 2A + B. 3) 4) Given C = 1- 3 2 and D =- 1 3- 2 , find C - 4D. 4) 5) Given A =- 1 2 and B = 1 , find 3A + 4B. 5) 6) Given A = 1 3 5 6 and B =- 2 2- 3- 1 , find AB. 6) 7) Given A = 8- 8 6 4 and I = 1 0 1 , find AI. 7) 8) Given A = 1 9 3 7 and B =- 2 2- 5- 1 , find BA. 8) 9) Given A = 5- 7 9 9 and I = 1 0 0 1 , find IA. 9) Find the product, if possible. 10) 1 3- 3 2 0 3 3 0- 3 1 0 3 10) 11) - 5 2 2 3- 3 11) 12) 3- 5 1 8- 2 2 7 9 4- 2 4- 5 12) 13) 2 2- 3 1- 1- 5- 4- 4 8 13) Evaluate the determinant. 14)- 7 6- 6 - 7 14) 15)- 8 - 7 b a 15) 16) 2 - 2 7 6 9- 4 16) 17) 5 - 8 7 2 5- 4 17) Solve using Cramer's rule. 18) 5x + 2y =- 7 2x + y =- 2 18) 19) x - 7y =- 53- 2x - 8y =- 48 19) 20) 4x + 3y = 37- 2x + 2y = 6 20) 21) 6x + 4y - z = 51 x - 8y - 2z =- 18 6x + y + z = 55 21) 22)- 5x - 2y - 6z =- 51- 4x + 4y - 2z = 4- 8x - 9y - 3z =- 109 22) 23) 2x - 7z =- 30- 4x + 7y - 4z =- 20 7x - 8y = 10 23) Find the focus and directrix of the parabola. 24)- 1 40 x 2 = y 24) 25) x 2 + 12y = 25) 26) y 2 = 28x 26) Find the vertex, the focus, and the directrix of the parabola. 27) (y - 7) 2 =- 12(x + 3) 27) 28) (x + 3) 2 = 8(y - 1) 28) Draw the graph of the equation. 29) (x + 1) 2 =- 6(y - 1) x-10-5 5 10 y 10 5-5-10 x-10-5 5 10 y 10 5-5-10 29) 30) (y - 3) 2 = 4(x - 2) x-10 10 y 10-10 x-10 10 y 10-10 30) 31) (x + 1) 2 = 2(y - 4) x-10 10 y 10-10 x-10 10 y 10-10 31) Find the vertices and the foci of the given ellipse. 32) x 2 100 + y 2 64 = 1 32) 33) x 2 64 + y 2 9 = 1 33) Find the center of the ellipse. 34) (x + 5) 2 16 + (y + 6) 2 25 = 1 34) 35) 16(x + 4) 2 + 9(y + 6) 2 = 144 35) Find the foci of the ellipse. 36) (x - 1) 2 16 + (y + 1) 2 9 = 1 36) Graph the ellipse. 37) x 2 16 + y 2 9 = 1 x y x y 37) 38) x 2 4 + y 2 49 = 1 x y x y 38) Find the foci of the ellipse. 39) (x + 2) 2 64 + (y + 4) 2 100 = 1 39) Draw the graph of the equation. 40) (x - 1) 2 = 4(y - 2) x-10 10 y 10-10 x-10 10 y 10-10 40) 41) (y - 2) 2 = 2(x - 2) x-10 10 y 10-10 x-10 10 y 10-10 41) Find the vertices of the hyperbola. 42) (y - 1) 2 25- (x + 3) 2 4 = 1 42) 43) (x - 5) 2 16- (y - 3) 2 4 = 1 43) Find the center of the hyperbola. 44) (x + 6) 2 9- (y + 3) 2 16 = 1 44) 45) (y + 4) 2 9- (x + 3) 2 36 = 1 45) Find the foci of the given hyperbola....
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This note was uploaded on 12/04/2011 for the course MAC 1147 taught by Professor Staff during the Fall '08 term at Miami Dade College, Miami.

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MAC_1147_Fall_11_PreCalculus_Final_Exam_Review - MAC 1147...

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