Using the quotient rule
dy/dx = (x^-1) * (3x^2 -5 ) - (x^3 - 5x) * 2x
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(x^2 - 1)^2
You are correct
Answer:
156.5
Step-by-step explanation:
Thinking process:
The area can be calculated using the formula:
We let the substitution take place.
Therefore, we let 
Thus, 
So,
Also, the interval of the integration changes to [ 37, 65]
Thus,
= 
= 156.5 units²
Answer:
approximately 550,390,000 km
Step-by-step explanation:
Answer: C) 5
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x = independent variable, y = dependent variable
Assuming this is a linear function, each increase of x by 2 leads to y going up by 10. So 10/2 = 5 is the unit increase each time x bumps up by 1.
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An alternative is to use the slope formula to get
m = (y2 - y1)/(x2 - x1)
m = (25 - 15)/(4 - 2)
m = 10/2 <--- this expression shows up again
m = 5 <---- leading to the same answer as before
So we see that the slope formula is a more drawn out method to finding the answer.
