The correct answer is -1/3.
L(x) = f'(a)(x - a)
f(x) = x^(-1), f'(x) = -x^(-2)
Let a = 1, f'(a) = -(1)^(-2) = -1
L(0.9) = f'(1)(0.9 - 1) = -1(-0.1) = 0.1
Therefore, linear approximation of f(x) = x^(-1) for x = 0.9 is 0.1
Answer:
An angle is in standard position, if its vertex is located at the origin and one ray is on the positive x-axis.
Step-by-step explanation:
Answer:
Distance between the observer and the red car is
Step-by-step explanation:
Diameter of field = 500 m
Radius of field =
Let R be the radius and the speed at which the car completes race be w
So,
Car finished 5 laps in minutes = 30
Car finished 1 lap in minutes =
So,
Refer the attached figure
Angle between car and observer = wt
So, Distance between the observer and the red car is give as A sin wt
So, Distance between the observer and the red car=