Answer:
The best way to know weather the formula y=x⁴-4x³+3x² is growing or not, is by graphing it.
As you can see in the attached picture:
- For -inf<x< 0 the graph decreases.
- For 0<x<0.634 the graph is growing
- For 0,634<x<2.366 the graph decreases
- For 2.366<x<+inf the graph is growing.
Therefore, the polynomial grows in the intervals stated before.
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We are asked to find the slope of this graph; we are provided with two points:



- What we need in order to find the slope are two points and the slope formula.
Here's the formula:

Where
y2 and y1 are y-coordinates
x2 and x1 are x-coordinates
Substitute the values:

Simplify!

Simplify more!

Hope it helps you out! :D
Ask in comments if any queries arise.
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Answer:
(−1.5,1)
Step-by-step explanation:
Finding the distance, midpoint, slope, equation and the x y-intercepts of a line passing between the two points p1 (6,7) and p2 (-9,-5)
The distance (d) between two points (x1,y1) and (x2,y2) is given by the formula
d = √ ((X2-X1)2+(Y2-Y1)2)
d = √ (-9-6)2+(-5-7)2
d = √ ((-15)2+(-12)2)
d = √ (225+144)
d = √ 369
The distance between the points is 19.2093727122985
The midpoint of two points is given by the formula
Midpoint= ((X1+X2)/2,(Y1+Y2)/2)
Find the x value of the midpoint
Xm=(X1+X2)/2
Xm=(6+-9)/2=-1.5
Find the Y value of the midpoint
Ym=(Y1+Y2)/2
Ym=(7+-5)/2=1
The midpoint is: (-1.5,1)
Answer:
12.42 units
Step by step explanation:
Given,
length of the radius = 2 units
Therefore, arc length of the complete circle = 2 × 3.14 × 2 units = 12.56 units
Therefore, arc length of the partial circle = 3/4 × 12.56 units
= 12.42 units