Mbeckworth32 Mbeckworth32
  • 13-11-2021
  • Mathematics
contestada

Find
y
'
and then find the slope of the tangent line at
(
2
,
225
)
. Round the slope and y-intercept to 3 decimal place.

Find y and then find the slope of the tangent line at 2 225 Round the slope and yintercept to 3 decimal place class=

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lunathemoonchild13
lunathemoonchild13 lunathemoonchild13
  • 15-11-2021
Since we are given the point, all we need to find is the slope to discover the tangent line.
To find the slope, you plug in 2 for y’ as it is the x-value of the point.

y’ = 2((2)^2+2(2)+7)(2(2)+2) = 180

Plug in the point and the slope in the point-slope formula

y - y1 = m(x - x1)

y - 225 = 180(x - 2)

Solve for y

y = 180x - 360 + 225

y = 180x - 135
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