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1. Let p(x) =x'+2x-10x + 22x-15 Given that 1+v2i is a zero. Then find the Basic Mathematies for Social Seiences (Math 1011) Individual Assigament other zero of p(x). 2. Let (x-2) (T the polynomial +bx+c Then

1. Let p(x) =x'+2x-10x + 22x-15 Given that 1+v2i is a zero. Then find the Basic Mathematies for Social Seiences (Math 1011) Individual Assigament other zero of p(x). 2. Let (x-2) (T the polynomial +bx+c Then

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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College of Natural and Computational Science 1. Let p(x) =x'+2x-10x+22x-15 Given that I+V2i is a zero. Then find the 2. Let (x-2), (x – 3) and (x + 4) are factors of the polynomial x + ax+ bx+c 1hen Basic Mathematics for Social Sciences (Math 1011) AL FO Wolaita Sodo University Department of Mathematics Individual Assigament other zero of p(x). find the values of a, b and c. 3. Draw the graph of the following rational function a) f(x) = b) f(x) = x2-x-2 -5x+6x %3D x2-x-6 x+x-2 4. Find the inverse of f(x)=e-) 5. Find the domain and range of the following functions. a) f(x)=1+8x-2x' b) f(x) = Vx² - 6x+8 c) S(x) = x-5x +6 [3x-5. x<1 -1, x21 b) S(1) 7. Solve log,(2 log3(1+ log2(1+3 log ))) == 6. Given f(x) = Find a) f(-3) c) f(6) 3f(x)+1 f(x)+3 x-1 8. If f is a real function defined by f(x)= Show that f(2x) = x+1 9. Let f(x)= 2". Show that f(x+ 3) = 8f (x). 10. Sketch the graph of the given function and identify the domain, range, intercepts and asymptotes. a) f(x)= log, (x-3) b) f(x)=-3+ log, x 11. Sketch the graph of a) f(x)=1+cosx b) f(x)= sin(x+ 5) c) f(x)= tan 2.x (3 2 12. Find the inverse of matrix A =1 -1 0 12 1 13. Solve the folowing systems of linear equations (if possible) by using i) Gaussian elimination method ii) Matrix inversion method i) Cramer's rule 3x, + 2x2 + 4x3 = 1 a) 2x, - 2x2 + x, = 0 X1 + X2 + x3 = 9 X-2x3+3x,-9 b) 2x, + 4x + -3x, 1 c)-x, +3x, -4 2x-5x2+5x =17 X + 2x, + 3x3 = 1 3x, +6x2-5x, =0
Transcribed Image Text:College of Natural and Computational Science 1. Let p(x) =x'+2x-10x+22x-15 Given that I+V2i is a zero. Then find the 2. Let (x-2), (x – 3) and (x + 4) are factors of the polynomial x + ax+ bx+c 1hen Basic Mathematics for Social Sciences (Math 1011) AL FO Wolaita Sodo University Department of Mathematics Individual Assigament other zero of p(x). find the values of a, b and c. 3. Draw the graph of the following rational function a) f(x) = b) f(x) = x2-x-2 -5x+6x %3D x2-x-6 x+x-2 4. Find the inverse of f(x)=e-) 5. Find the domain and range of the following functions. a) f(x)=1+8x-2x' b) f(x) = Vx² - 6x+8 c) S(x) = x-5x +6 [3x-5. x<1 -1, x21 b) S(1) 7. Solve log,(2 log3(1+ log2(1+3 log ))) == 6. Given f(x) = Find a) f(-3) c) f(6) 3f(x)+1 f(x)+3 x-1 8. If f is a real function defined by f(x)= Show that f(2x) = x+1 9. Let f(x)= 2". Show that f(x+ 3) = 8f (x). 10. Sketch the graph of the given function and identify the domain, range, intercepts and asymptotes. a) f(x)= log, (x-3) b) f(x)=-3+ log, x 11. Sketch the graph of a) f(x)=1+cosx b) f(x)= sin(x+ 5) c) f(x)= tan 2.x (3 2 12. Find the inverse of matrix A =1 -1 0 12 1 13. Solve the folowing systems of linear equations (if possible) by using i) Gaussian elimination method ii) Matrix inversion method i) Cramer's rule 3x, + 2x2 + 4x3 = 1 a) 2x, - 2x2 + x, = 0 X1 + X2 + x3 = 9 X-2x3+3x,-9 b) 2x, + 4x + -3x, 1 c)-x, +3x, -4 2x-5x2+5x =17 X + 2x, + 3x3 = 1 3x, +6x2-5x, =0
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