(b) Find numbers a, b, and c such that the graph of the function f(x) = a.x² + bx + c have x intercepts at (0,0) and (5,0), and a tangent with slope 1 when æ = 2. (c) Suppose yz = In(x + z). Use implicit differentiation to find dz dz and Also find dx dy ду d100 dr l00 (x100 – 4x99 + 3x50 + 6). -

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
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(b) Find numbers a, b, and c such that the graph of the function f(x) = a.x² + bx + c have x
intercepts at (0,0) and (5,0), and a tangent with slope 1 when æ = 2.
(c) Suppose yz = In(x + z). Use implicit differentiation to find
dz
dz
and
Also find
dx
dy
ду
d100
dr l00 (x100 – 4x99 + 3x50 + 6).
-
Transcribed Image Text:(b) Find numbers a, b, and c such that the graph of the function f(x) = a.x² + bx + c have x intercepts at (0,0) and (5,0), and a tangent with slope 1 when æ = 2. (c) Suppose yz = In(x + z). Use implicit differentiation to find dz dz and Also find dx dy ду d100 dr l00 (x100 – 4x99 + 3x50 + 6). -
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