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4. Which of the following quadratic equations has no solution? a) 2x² - 4x b) 4x = 2x - 3 2x² - 15x - 8 = 0 c) 16(x + 1)² = 0 d) 3(x + 5)² +7=0

4. Which of the following quadratic equations has no solution? a) 2x² - 4x b) 4x = 2x - 3 2x² - 15x - 8 = 0 c) 16(x + 1)² = 0 d) 3(x + 5)² +7=0

Advanced Engineering Mathematics
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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4. Which of the following quadratic equations has no solution? a) 2x² - 4x = 2x - 3 b) 2x² - 15x - 8 = 0 c) 16(x + 1)² = 0 d) 3(x + 5)² + 7 = 0 5. Identify which parabola does not intersect the x-axis. a) f(x) = x² - 6x + 7 b) f(x) = 9 - +² c) f(x) = (4 + x)² d) f(x) = -2(x − 1)² – 1 - - 42
Transcribed Image Text:4. Which of the following quadratic equations has no solution? a) 2x² - 4x = 2x - 3 b) 2x² - 15x - 8 = 0 c) 16(x + 1)² = 0 d) 3(x + 5)² + 7 = 0 5. Identify which parabola does not intersect the x-axis. a) f(x) = x² - 6x + 7 b) f(x) = 9 - +² c) f(x) = (4 + x)² d) f(x) = -2(x − 1)² – 1 - - 42
1. A T-ball player hits a baseball from a tee that is 1 m tall. The flight of the ball can be modelled by h(t) = -5t² + 10t 1, where h(t) is the height in metres and t is the time in seconds. When does the ball reach its maximum height? a) 0.5 s b) 1.00 s - a) 5s b) 6s c) d) 1.60 s 1.5 s 2. A rock is dropped from the edge of a 180 m cliff. The function h(t) = -5t² - 5t + 180 gives the approximate height of the rock, h(t), in metres t seconds after it was released. How long does it take for the rock to reach a ledge 80 m above the base of the cliff? c) 3 s d) 4 s
Transcribed Image Text:1. A T-ball player hits a baseball from a tee that is 1 m tall. The flight of the ball can be modelled by h(t) = -5t² + 10t 1, where h(t) is the height in metres and t is the time in seconds. When does the ball reach its maximum height? a) 0.5 s b) 1.00 s - a) 5s b) 6s c) d) 1.60 s 1.5 s 2. A rock is dropped from the edge of a 180 m cliff. The function h(t) = -5t² - 5t + 180 gives the approximate height of the rock, h(t), in metres t seconds after it was released. How long does it take for the rock to reach a ledge 80 m above the base of the cliff? c) 3 s d) 4 s
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