2. Tangent lines to parabolas Consider the parabola y=x². Write an equation of the line tangent to the parabola at the point (2,4). O What is the y-intercept of this line? Write the equation of the line tangent to the parabola at the arbitrary point (t, t²). O What is the y-intercept of this line. Given any point on the parabola and a ruler, describe what these observations tell us about how to construct an exact tangent line (not just an estimate). Consider the general parabola y = x²/(4a). When x = t, write an equation of the line tangent to the parabola, and find its y-intercept. Does the rule from above seem to still hold? K
2. Tangent lines to parabolas Consider the parabola y=x². Write an equation of the line tangent to the parabola at the point (2,4). O What is the y-intercept of this line? Write the equation of the line tangent to the parabola at the arbitrary point (t, t²). O What is the y-intercept of this line. Given any point on the parabola and a ruler, describe what these observations tell us about how to construct an exact tangent line (not just an estimate). Consider the general parabola y = x²/(4a). When x = t, write an equation of the line tangent to the parabola, and find its y-intercept. Does the rule from above seem to still hold? K
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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Pls solve this question correctly in 5 min i will give u like for sure Only need the last part under all of the bullet points
Transcribed Image Text:2. Tangent
Consider the parabola y = x².
Write an equation of the line tangent to the
parabola at the point (2,4).
O What is the y-intercept of this line?
Write the equation of the line tangent to the
parabola at the arbitrary point (t, t²).
What is the y-intercept of this line.
Given any point on the parabola and a ruler,
describe what these observations tell us about
how to construct an exact tangent line (not just
an estimate).
lines to parabolas
Consider the general parabola y = x²/(4a). When x =
t, write an equation of the line tangent to the
parabola, and find its y-intercept. Does the rule
from above seem to still hold?
V
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