The slope of y = 3x - 4 on the interval [2, 5] is 3 and the slope of y = 2x^2-4x - 2 on the interval [2, 5] is 10
<h3>How to determine the slope?</h3>
The interval is given as:
x = 2 to x = 5
The slope is calculated as:
<u>16. y = 3x - 4</u>
Substitute 2 and 5 for x
y = 3*2 - 4 = 2
y = 3*5 - 4 = 11
So, we have:
Divide
m = 3
Hence, the slope of y = 3x - 4 on the interval [2, 5] is 3
<u>17. y = 2x^2-4x - 2</u>
Substitute 2 and 5 for x
y = 2 * 2^2 - 4 * 2 - 2 = -2
y = 2 * 5^2 - 4 * 5 - 2 = 28
So, we have:
Divide
m = 10
Hence, the slope of y = 2x^2-4x - 2 on the interval [2, 5] is 10
Read more about slopes at:
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Answer
N = 32 ÷ (5 - 1)
N = 32 ÷ 4
N =8
Step-by-step explanation:
For each <em>x</em> in the interval 0 ≤ <em>x</em> ≤ 5, the shell at that point has
• radius = 5 - <em>x</em>, which is the distance from <em>x</em> to <em>x</em> = 5
• height = <em>x</em> ² + 2
• thickness = d<em>x</em>
and hence contributes a volume of 2<em>π</em> (5 - <em>x</em>) (<em>x</em> ² + 2) d<em>x</em>.
Taking infinitely many of these shells and summing their volumes (i.e. integrating) gives the volume of the region:
Answer:
Below
Step-by-step explanation:
First I found the area of the portion that extends off (if that makes sense??)
It is a triangle, so use A = bh/2
A = (2)(6) / 2
= 6 cm^2
Next I found the area of the rectangle using A = LW
A = (6)(3)
= 18 cm^2
Total area = 18 + 6
= 24 cm^2
Hope this helps! Best of luck <3
Answer:
Step-by-step explanation:
First system: no solution, since the two lines are parallel; they never cross.
Second system: one solution
Third system: infinitely many solutions, since the second equation is a multiple of the first
