Find
1 answer:
Answer:
dy/dx does not exist.
Step-by-step explanation:
If a question asks us to find dy/dx of a equation, it is asking us to find the derivative of a function.
There are two main ways to find the derivative of a function:
- Use definition (
)
- Use derivative rules (product rule, quotient rule, power rule, exponential rule, etc...)
Something important to remember when finding the derivative of a function:
- If the equation is in the form g(x) = c (such as x = 1, x² = 5, √x = 4, etc...), where c is a constant, the derivative does not exist. This makes sense, since the derivative of a function is an equation for the slope of a function, and the slope of a function in the form g(x) = c has an undefined slope.
We are given the function y = 3x² + y, and we are asked to find dy/dx. See how the y's on each side cancel out:
y = 3x² + y
-y -y
0 = 3x²
This is in the form g(x) = c, where c = 0 and g(x) = 3x². There is no derivative to this function. Therefore, dy/dx does not exist.
I hope this helps. :)
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Answer:
9 labours
Step-by-step explanation:
In order to solve this, we must know which kind of proportionality is this. There are two types of proportions, direct and indirect/inverse proportions. In direct proportion, if one quantity increases, the other quantity also increases.
In indirect proportion, if one quantity increases, the other decreases and vice versa.
As per this question, we know if the number of labour increases, the number of days to complete a work decreases, thus proving that this is an indirect/inverse proportion.
6 labours => 12 days
x labours => 8 days
Since its an inverse proprotion, multiply 6 with 12, and x with 8.
8x = 6 × 12
x =
∴ x = <u>9 labours</u>
Answer:
The Slope of Line 1 is ->
The Slope of Line 2 is ->
These two lines are - > Perpendicular
Step-by-step explanation:
To find the slope of line one, you follow these steps:
First Coordinate 10 -> x1, 5 -> y1
Second Coordinate -8 -> x2, 9 -> y2
Then insert the assigned values into this equation: ->
which equals
which simplifies to
Then do the same process to find the slop of line 2:
First Coord: 2 -> x1, -4 -> y1
Second Coord: 11 -> x2, -6 -> y2
Then insert the values into this equation: ->
which equals
.
We know the lines are perpendicular by:
a. Typing the equations of the lines into a graphing calculator and observing the graph
b. Looking at the slopes. By looking at the slopes, we see that the slope of line 1 is the reciprocal of line 2, and vice versa. Since reciprocal slopes indicate perpendicular lines, the lines 1 and 2 are perpendicular to each other.
Hope this helps!