Answer:
Option (2). Increasing x > 0; decreasing x < 0
Step-by-step explanation:
Equation of the parabola having vertex (0, 3) will be,
y = (x - 0)² + 3
y = x² + 3
To check the function is increasing or decreasing in the given intervals we will find the derivative of the function,
y' = 2x
For x < 0 Or x = -1
y' = 2(-1)
= -2 < 0
Therefore, function is decreasing in x < 0
For x > 0 Or x = 1
y' = 2(1) + 3
= 5 > 0
Therefore, function is increasing in x > 0
Option (2) is the answer.
Answer:
4
Step-by-step explanation:
Slope refers to the steepness of the line.
Slope is equal to change in value of y divided by change in value of x.
The slope of the secant line is given by 
.
Given points are 
So, slope of the secant line is 
(i) At x = 4.9,
(ii) At x = 4.99,
(iii) At x = 4.999,
(iv) At x = 4.9999,
(v) At x =5.1,
(vi)
At x = 5.01,
(vii) At x = 5.001,
(viii) At x = 5.0001,
(b)
Slope of the tangent line is 4.
Answer:
1.6x24
Step-by-step explanation:
which is 38.4 minutes :)
You would have to do the change in y over the change in x
1. 1-1/6-0
2. 0/6 and any time you divide zero by a number the answer is zero.
