True or False To find the circumference of a circle you multiply the diameter by pi
1 answer:
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velocity is the slope (which can be calculated after finding the derivative) → given function f(x), velocity = f'(x).
acceleration is the slope of the velocity (which can be calculated after finding the derivative of the velocity) → given function f(x), acceleration is f''(x)
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1a) A → B
f(x) =
f'(x) =
1b) B → C
f(x) =
f'(x) = = -5
1c) C → D
f(x) = 20
f'(x) = 0
Hope this helps!
Differentiate both sides of the equation of the circle with respect to , treating
as a function of
:
This gives the slope of any line tangent to the circle at the point .
Rewriting the given line in slope-intercept form tells us its slope is
In order for this line to be tangent to the circle, it must intersect the circle at the point such that
In the equation of the circle, we have
If , then
, so we omit this case.
If , then
, as expected. Therefore
is a tangent line to the circle
at the point (1, -2).