6. For what value(s) of a does the function f(x) = ax + 6x +9 have two zeros? 7. For what value(s) of d does the function f(x) - dx² - 6x +d have no zeros? 8. For what value(s) of g does the function 3x² - 2x + g = 0 have two distinct solutions? one so solution?
6. For what value(s) of a does the function f(x) = ax + 6x +9 have two zeros? 7. For what value(s) of d does the function f(x) - dx² - 6x +d have no zeros? 8. For what value(s) of g does the function 3x² - 2x + g = 0 have two distinct solutions? one so solution?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
How to figure out questions 6-8
Transcribed Image Text:passes through (2, 24).
2. The path of a model rocket is modelled by the quadratic function h(t) = -5(1-4)² +75, where the height, h(r
is in metres and the time, t, is in seconds. When will the rocket reach a height of 35 metres?
3. Complete the square on y=x²-16x - 10.
4. Complete the square on y = 4x² + 24x13.
5. Use the quadratic formula to determine the roots of -6x + 14x-22 = 0. Round your answer to two decimal
places. If there is no real solution, say so.
6.
For what value(s) of a does the function f(x) = ax² + 6x +9 have two zeros?
7.
For what value(s) of d does the function f(x) dx² - 6x +d have no zeros?
8.
For what value(s) of g does the function 3x² - 2x + g = 0 have two distinct solutions? one solution? no
solution?
Problem
9. Complete the table.
Function
a)
b)
c)
f(x) = (x + 2)² - 1
y = -5(x-1)² +4
f(x) = -(x+6)²
BOFOOVE
Vertex
Axis of
Symmetry
Opens
Up/Down
Range
Y>
10. Ethan throws a toy soldier with a parachute into the air from a balcony. The path of the soldier can be
modelled by h(t) = -5t² +7t+18, where the height, h(t), is in metres and the time, t, is in seconds.
a) When will the soldier hit the ground?
b) How long will the soldier be above 15 m?
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