Can someone solve what is n/n^3
1 answer:
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Answer:
a) y = 0, y = 4 and y = 5
b) y ⊂ (- ∞, 0) ∪ (0, 4) ∪ (5, ∞)
c) y ⊂ (4,5)
Step-by-step explanation:
Data provided in the question:
function y(t) satisfies the differential equation:
= y⁴ − 9y³ + 20y²
Now,
a) For constant solution
= 0
or
y⁴ − 9y³ + 20y² = 0
or
y² (y² - 9y + 20 ) = 0
or
y²(y² -4y - 5y + 20) = 0
or
y²( y(y - 4) -5(y - 4)) = 0
or
y²(y - 4)(y - 5) = 0
therefore, solutions are
y = 0, y = 4 and y = 5
b) for y increasing
> 0
or
y²(y - 4)(y - 5) > 0
or
y²
y ⊂ (- ∞, 0) ∪ (0, 4) ∪ (5, ∞)
c) for y decreasing
< 0
or
y²(y - 4)(y - 5) > 0
or
y²
y ⊂ (4,5)
The phrases that fit the graph of are
- curve positive x-values
- point (1, 1) x-intercept = 0
- quadrant I y-intercept = 0
The equation of the function is given as:
Next, we plot the graph of the function (see attachment)
From the attached graph, we have the following highlights:
- All points are in quadrant I
- The function is a curve
- It has an x-intercept of x = 0
- It has a y-intercept of y = 0
- It has only positive x values
- It passes through (1,1)
The above represents the phrases that fit the graph
Read more about features of a function at:
#SPJ1
<h3>Complete question</h3>Using a graphing application, graph y = √x. Sketch the graph below.
Select all phrases that fit the graph of y = √x
curve straight y-intercept = 1 positive x-values
quadrant IV quadrant III point (1, 1) x-intercept = 0
quadrant I y-intercept = 0 no y-intercept negative y-values
no x-intercept quadrant II x-intercept = 1 point (-1, -1)
