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Pavel [41]
2 years ago
6

The cubic curve y = x'3 + ax'2 + bx + c passes through the point (1,3) and has tangent line y = x - 2 at the point (0,-2). What

are the values of a, b, and c?​
Mathematics
1 answer:
xz_007 [3.2K]2 years ago
6 0

Answer:

answer to your question is: a = 3, b = 1, c = -2

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Using V = (pi)(r)^2(h) :
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nlexa [21]

Answer:

  • -108.26
  • -108.13
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Step-by-step explanation:

A graphing calculator or spreadsheet is useful for making the repeated function evaluations required.

The average velocity on the interval [a,b] will be ...

  v avg = (y(b) - y(a))/(b-a)

Here, all the intervals start at a=3, so the average velocity for the given values of t will be ...

  v avg = (y(3+t) -y(3))/((3+t) -3) = (y(3+t) -y(3))/t

This can be computed for each of the t-values given. The results are shown in the attached table.

__

We note that the fractional part of the velocity gets smaller in proportion to t getting smaller. We expect it to go to 0 when t goes to 0.

The estimated instantaneous velocity is -108 ft/s.

_____

We can simplify the average velocity equation to ...

  v avg = ((48(3+t) -26(t+3)^2) -(48(t+3) -26(3)^2)) / t

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<em>   v avg = -108 -26t</em>

Then the average velocity at t=0 is -108.

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