Counter clockwise means it goes backwards so -90°
After the 90° counter clockwise rotation the coordinates are (4,-3)
After the 90° counter clockwise rotation the coordinates are (4,-3)
Find the length of the hypotenuse of a right triangle whose legs are 3 and square root of 2.
1 answer:
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Answer:
The value of f(3) is -2.
Step-by-step explanation:
This is a recursive function. So
Now, we find f(2) in function of f(1). So
Now, with f(2), we can find the value of f(3).
The value of f(3) is -2.
(d) The particle moves in the positive direction when its velocity has a positive sign. You know the particle is at rest when and
, and because the velocity function is continuous, you need only check the sign of
for values on the intervals (0, 3) and (3, 6).
We have, for instance and
, which means the particle is moving the positive direction for
, or the interval (3, 6).
(e) The total distance traveled is obtained by integrating the absolute value of the velocity function over the given interval:
which follows from the definition of absolute value. In particular, if is negative, then
.
The total distance traveled is then 4 ft.
(g) Acceleration is the rate of change of velocity, so is the derivative of
:
Compute the acceleration at seconds:
(In case you need to know, for part (i), the particle is speeding up when the acceleration is positive. So this is done the same way as part (d).)