A particle is moving along the parabola x^2=4(y+6). As the particle passes through the point (8,10), the rate of change of its y
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Answer:
(Missing part of the question is attached)
Estimates are too large.
Step-by-step explanation:
Suppose the only information we know about the function is:
where the graph of its derivative is shown in the attachment
<h3>(a)</h3>If the function is differentiable at point
, the tangent line to the graph of
at 1 is given by the equation:
So we call the linear function:
We know the as it is given in the question, and
from the graph attached. Substitute in the equation of
.
At x=1, is positive but it is decreasing. However. if we draw the tangent lines, we see that the tangent lines are becoming less steeper, so the tangent lines lie above the curve
. Thus, The estimates are too large.
The midpoint formula for a segment is:
apply to points R and P
using the definition of slope find the slope of the segment
apply to points R and P
to lines are parallel when the slopes are the same
two lines are perpendicular when the product of the slopes is equal to -1