I only have 8 minutes left please help!!! The expression h(x)= -5x2 + 25x + 70 can be used to estimate the height(h), in meters,
of a toy rocket x seconds after it is launched from
a platform. Substitue 0 for h in the equation, and determinehow many seconds it will take for the rocket to hit the ground? Enter the
answer that makes the most real world sense for the scenario described.
a platform. Substitue 0 for h in the equation, and determinehow many seconds it will take for the rocket to hit the ground? Enter the
answer that makes the most real world sense for the scenario described.
1 answer:
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is a classic approximation, true for small x.
The next term in the polynomial expansion will be where k is a positive number. So our estimate 1-x is definitely an underestimate on both sides of x=0.
Since for negative xs the exponential rises exponentially and the line only linearly, the exponential exceeds the line for all negative x. For positive x, the line quickly goes negative while the exponential is always positive.
So, there's no interval for which our approximation is an overestimate.