Answer:
There is no point of the form (-1, y) on the curve where the tangent is horizontal
Step-by-step explanation:
Notice that when x = - 1. then dy/dx becomes:
dy/dx= (y+2) / (2y+1)
therefore, to request that the tangent is horizontal we ask for the y values that make dy/dx equal to ZERO:
0 = ( y + 2) / (2 y + 1)
And we obtain y = -2 as the answer.
But if we try the point (-1, -2) in the original equation, we find that it DOESN'T belong to the curve because it doesn't satisfy the equation as shown below:
(-1)^2 + (-2)^2 - (-1)*(-2) - 5 = 1 + 4 + 2 - 5 = 2 (instead of zero)
Then, we conclude that there is no horizontal tangent to the curve for x = -1.
<h2><u>
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Answer:
All these answers are correct. I triple - checked!
Step-by-step explanation:
In order from questions asked top - to - bottom:
First question:
Second question:
Third question:
Fourth question:
I hope this helps!
- sincerelynini
Answer:

Step-by-step explanation:
So we have the equation:

First, subtract 9 from both sides:

Divide both sides by -4:

Definition of Absolute Value:

Subtract 3 from both sides:

Divide both sides by 5:

And we're done!
Answer:
4,500,000 population in 1950
Step-by-step explanation:
the equation is 4p + 1,000,000 = 19,800,000