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3. Given the expression, H(m) = 28-3m² + bm, determine the following a. The value(s) of b when the discriminant of H(m) is 400. b. If applicable, calculate the value(s) of its root(s). c. The value of the vertical intercept.

3. Given the expression, H(m) = 28-3m² + bm, determine the following a. The value(s) of b when the discriminant of H(m) is 400. b. If applicable, calculate the value(s) of its root(s). c. The value of the vertical intercept.

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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3. Given the expression, H(m) = 28 - 3m² + bm, determine the following a. The value(s) of b when the discriminant of H(m) is 400. b. If applicable, calculate the value(s) of its root(s). c. The value of the vertical intercept. d. The value for its line of symmetry. e. For your answers from part a to d above, sketch the graph of the function H(m). 4. Find the inverse of the function, s(t) = √3-t²-6
Transcribed Image Text:3. Given the expression, H(m) = 28 - 3m² + bm, determine the following a. The value(s) of b when the discriminant of H(m) is 400. b. If applicable, calculate the value(s) of its root(s). c. The value of the vertical intercept. d. The value for its line of symmetry. e. For your answers from part a to d above, sketch the graph of the function H(m). 4. Find the inverse of the function, s(t) = √3-t²-6
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