Q1: Find the distance between the given Points: (2V3, 4) & (-V3, 1). • (a, b) & (0, 0). Q2: Test the symmetries of the graphs about which axis. y =! x²y = 1 • x2 + 4y2 = 1 • y Q3: Find the intercepts of the equations. • x = 1- y2 4x2 + 4y2 = 1 • y = (x + 4) Q4: Find the equation of the line with the given slope (m), y-intercepts (b) & P(x, y). • m=1, b=2.5 • m=-0.5, b=-1 • P (a,0), m=-1 Q5: A pressure (p) experienced by a diver under water is related to the diver's depth (d) by an equation of the form p = hd +1 (h a constant). When (d = 0) meters, the pressure is (1) atmosphere. The pressure at (100) meters is about (10.94) atmosphere. Find the pressure at (50) meters. Q6: Find the domain and range of each function. • y = 2vx • y = V-x • y = 1+ Vx Q7: Check weather the functions are even, odd or neither. (explain why) • y = x-1 y = x+1 • y = x + x3
Q1: Find the distance between the given Points: (2V3, 4) & (-V3, 1). • (a, b) & (0, 0). Q2: Test the symmetries of the graphs about which axis. y =! x²y = 1 • x2 + 4y2 = 1 • y Q3: Find the intercepts of the equations. • x = 1- y2 4x2 + 4y2 = 1 • y = (x + 4) Q4: Find the equation of the line with the given slope (m), y-intercepts (b) & P(x, y). • m=1, b=2.5 • m=-0.5, b=-1 • P (a,0), m=-1 Q5: A pressure (p) experienced by a diver under water is related to the diver's depth (d) by an equation of the form p = hd +1 (h a constant). When (d = 0) meters, the pressure is (1) atmosphere. The pressure at (100) meters is about (10.94) atmosphere. Find the pressure at (50) meters. Q6: Find the domain and range of each function. • y = 2vx • y = V-x • y = 1+ Vx Q7: Check weather the functions are even, odd or neither. (explain why) • y = x-1 y = x+1 • y = x + x3
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Transcribed Image Text:Q1: Find the distance between the given Points:
(2V3,4) & (-v3, 1).
• (a, b) & (0, 0).
Q2: Test the symmetries of the graphs about which axis.
y =
x²y = 1
• x2 + 4y2 = 1
1
• y
Q3: Find the intercepts of the equations.
• x = 1- y?
4x2 + 4y2 = 1
• y = (x + 4)
Q4: Find the equation of the line with the given slope (m), y-intercepts (b) & P(x, y).
• m=1, b=2.5
• m=-0.5, b=-1
• P (a,0), m=-1
Q5: A pressure (p) experienced by a diver under water is related to the diver's depth (d)
by an equation of the form p = hd +1 (h a constant). When (d = 0) meters, the
pressure is (1) atmosphere. The pressure at (100) meters is about (10.94)
atmosphere. Find the pressure at (50) meters.
Q6: Find the domain and range of each function.
• y = 2Vx
• y = v-x
y = 1+ Va
Q7: Check weather the functions are even, odd or neither. (explain why)
• y =-1
• y =
x+1
• y = x + x3
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