The temperature at a point (x, y) is T(x, y), measured in degrees Celsius. A bug crawls so that its position after t seconds is
given by x = 5 + t , y = 4 + 1 4 t, where x and y are measured in centimeters. The temperature function satisfies Tx(3, 5) = 1 and Ty(3, 5) = 1. How fast is the temperature rising on the bug's path after 4 seconds? (Round your answer to two decimal places.)
1 answer:
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Answer:
XY is a tangent
Step-by-step explanation:
Given
Required
Is XY a tangent?
XY is a tangent if:
Because XY should make a right angle at point X with the circle
Where
So, we have:
This gives:
<em>Yes, XY is a tangent</em>