Consider the table of the powers of 8.
2 answers:
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Answer:
An equation in function notation for the total cost of the book club will be:
- y = 20x + 12
Step-by-step explanation:
Given that Genesis needs to pay $12.00 for entrance into the book club.
Per month fee = $20.00
We know that the slope-intercept form of a linear function is
where m is the slope and b is the y-intercept
As the rate of change is also called the slope.
The rate of $20.00 per month would be termed as the slope = m = 20
One time fee = $12.00, meaning the y-intercept = b = 12
Thus, the equation becomes
- y represents the total cost
- x represents the duration
- m represents the rate of change = m = 20
- b represents the y-intercept = b = 12
y = 20x + 12
Therefore, an equation in function notation for the total cost of the book club will be:
- y = 20x + 12
The given equations are
(1)
(2)
When t=0, obtain
Obtain derivatives of (1) and find x'(0).
x' (t+1) + x - 4√x - 4t*[(1/2)*1/√x = 0
x' (t+1) + x - 4√x -27/√x = 0
When t=0, obtain
x'(0) + x(0) - 4√x(0) = 0
x'(0) + 9 - 4*3 = 0
x'(0) = 3
Here, x' means
.
Obtain the derivative of (2) and find y'(0).
2y' + 4*(3/2)*(√y)*(y') = 3t² + 1
When t=0, obtain
2y'(0) +6√y(0) * y'(0) = 1
2y'(0) = 1
y'(0) = 1/2.
Here, y' means
.
Because
, obtain
Answer:
The slope of the curve at t=0 is 1/6.
When t=0, obtain
Obtain derivatives of (1) and find x'(0).
x' (t+1) + x - 4√x - 4t*[(1/2)*1/√x = 0
x' (t+1) + x - 4√x -27/√x = 0
When t=0, obtain
x'(0) + x(0) - 4√x(0) = 0
x'(0) + 9 - 4*3 = 0
x'(0) = 3
Here, x' means
Obtain the derivative of (2) and find y'(0).
2y' + 4*(3/2)*(√y)*(y') = 3t² + 1
When t=0, obtain
2y'(0) +6√y(0) * y'(0) = 1
2y'(0) = 1
y'(0) = 1/2.
Here, y' means
Because
Answer:
The slope of the curve at t=0 is 1/6.