Answer:
Check attachment for orderliness of question
Step-by-step explanation:
We want to the equation in an exact form
M(x, y) dx + N(x, y) dy = 0.
xy² dy/dx = y³− x³
Cross multiply
Then,
xy²dy=(y³-x³)dx
xy²dy - (y³-x³)dx = 0
xy²dy + (x³-y³)dx=0
Therefore,
(x³-y³)dx + xy²dy=0
Can only be an exact equation if and only if
dM/dy=dN/dx
From the equation
M=(x³-y³)
Then, dM/dy=-3y²
Also, N=xy²
dN/dx=y²
Since dM/dy ≠ dN/dx
Then it is not an examct equation and we can say
M≠(x³-y³)
And
N≠(xy²)
The two graphs in the second picture are the graphs of exponential functions. You can detect it from the L shaped graphs.
The very first graph represents a linear function. A straight line always represents a linear function. In a Linear function, the change in the values of y is constant throughout in relative to change in x values.
The final graph represents a quadratic function rising on both ends.
Therefore, option b and c are the correct answers
Perpendicular lines will have negative reciprocal slopes
B. y = -4x+ 5 and y = 1/4x + 4
D. y = x + 4 and y = -x + 4
E. y = -3 and x = -3
The value of the factorial is 5!4!/7!2! = 2/7
<h3>What is factorial?</h3>
The product of all positive integers less than or equal to a given positive integer and denoted by that integer and an exclamation point.
Given:
5!4!/7!2!
= 5!* 4*3*2!/7*6*5!*2!
=4*3/7*6
=12/42
=4/14
=2/7
Hence, 5!4!/7!2! = 2/7.
Learn more about factorial here:
brainly.com/question/1357774
#SPJ1
The answer is D. First, it is the segment addition postulate because the two segments make up the whole. Second, it's substitution because you are substituting EF + FG for FH.
Hope this helps!
