An airplane is preparing to land at an airport. It is 51,300 feet above the ground and is descending at the rate of 3,000 feet p
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Answer:
Step-by-step explanation:
We are asked to find the tangent line approximation for near
.
We will use linear approximation formula for a tangent line of a function
at
to solve our given problem.
Let us find value of function at as:
Now, we will find derivative of given function as:
Let us find derivative at
Upon substituting our given values in linear approximation formula, we will get:
Therefore, our required tangent line for approximation would be .