Answer:
(a)
(b)
Step-by-step explanation:
We have been a function . We are asked to find the instantaneous rate of change of the function and the slope of the tangent line at point .
(a) First of all, we will find the derivative of our given function using product rule.
Now, we will substitute in our derivative function to find slope of tangent line as:
Therefore, the slope of the tangent line is -65 at point .
(b) We know that instantaneous rate of change of the function at a point is equal to the derivative of the function at that point.
We already figured it out that derivative of our given function at is , therefore, the instantaneous rate of change of the function is also at point .
Answer:
$232.75
Step-by-step explanation:
If you do 175 divided by 100, you get 1.75. Then you take 45 (45%) and subtract it by 12 (12%) you 33 (33%). Now you take 1.75 and times it by 33 and you get 57.75. Take the 175 and add 57.75 and you get 232.75 ($232.75)
I hope this helps with the problem. See ya.
Answer:
(5, 2), (5, 1), (2, 1), (2, 2)
Step-by-step explanation:
When rotated 90° CCW about the origin, a point is transformed by the rule ...
(x, y) ⇒ (-y, x)
Your points get transformed to ...
(2, -5) ⇒ (5, 2)
(1, -5) ⇒ (5, 1)
(1, -2) ⇒ (2, 1)
(2, -2) ⇒ (2, 2)
0 represents nothing so if you have 5 apples you ate 5 of them you have nothing left.