2) a. The graph ofthe function f(x) = ax?+ bx + c has the y- intercept of 3, and its tangent at the point (2, 1) is parallel to the line 3x-y+2 = 0. Determine the values of a, b, and c.

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter81: Introduction To Computer Numerical Control (cnc)
Section: Chapter Questions
Problem 24A
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Question
2)
a. The graph ofthe function f(x) = ax²+ bx + c has the y-
intercept of 3, and its tangent at the point (2, 1) is parallel
to the line 3x- y+ 2 = 0. Determine the values of a, b,
and c.
b. The positionfunction of an object is given by
s(t) = t - 15t+ 63t, where t> 0 is time, in seconds, and s
is distance, in meters. When is the object momentarily at
rest?
Transcribed Image Text:2) a. The graph ofthe function f(x) = ax²+ bx + c has the y- intercept of 3, and its tangent at the point (2, 1) is parallel to the line 3x- y+ 2 = 0. Determine the values of a, b, and c. b. The positionfunction of an object is given by s(t) = t - 15t+ 63t, where t> 0 is time, in seconds, and s is distance, in meters. When is the object momentarily at rest?
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