Problem I: solve (find values of variables that satisfy the following sets of equations A. XI= 5x1 + 2x2 Xi + x2 = 1 B. X= 2x+ 3x X= 4x+2x3 %3D C X=(1+ a)x+ (1+ B)x2 XI + x = 1

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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Problem I: solve (find values of variables that satisfy the following sets of equations
A. xI= 5x1 + 2x2
Xi + x2 = 1
B. XI= 2x2+ 3x3
X2= 4x2+2x3
XI+X2+ X3 = /
C. XI=(1+ a)xi+ (1+ B)x
XI + X2 = 1
Problem II:
A. Differentiate the following functions with respect to x
• (x.y)= (2x+x+1) + 5x'y+xy+x'y+x+y
• f(x.y) =2x*(y?+1)²+y (x+1)+y'x
f(x.y)=(x+1) y+xy+xy+y?
B. Differentiate the above functions with respect to y
Problem III:
Consider a sample data shown in the table
Value
Frequency
3
3
12
5
A. Draw a bar graph to show the sample data
B. Represent the sample data assuming the following intervals, [0,2), [2,8), [8,12]
C. Draw bar graph using intervals in part B
D. Draw histogram using intervals in part C
E. Draw cumulative histogram.
Transcribed Image Text:Problem I: solve (find values of variables that satisfy the following sets of equations A. xI= 5x1 + 2x2 Xi + x2 = 1 B. XI= 2x2+ 3x3 X2= 4x2+2x3 XI+X2+ X3 = / C. XI=(1+ a)xi+ (1+ B)x XI + X2 = 1 Problem II: A. Differentiate the following functions with respect to x • (x.y)= (2x+x+1) + 5x'y+xy+x'y+x+y • f(x.y) =2x*(y?+1)²+y (x+1)+y'x f(x.y)=(x+1) y+xy+xy+y? B. Differentiate the above functions with respect to y Problem III: Consider a sample data shown in the table Value Frequency 3 3 12 5 A. Draw a bar graph to show the sample data B. Represent the sample data assuming the following intervals, [0,2), [2,8), [8,12] C. Draw bar graph using intervals in part B D. Draw histogram using intervals in part C E. Draw cumulative histogram.
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