Answer:
-24/35
Step-by-step explanation:
Find common denominators
140 is one
So, -126/140 + 30/140
This would be -96/140
Simplify
-48/70
Simplify some more
-24/35
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Answer:
9r³ + 2r⁴
Step-by-step explanation:
Step 1: Write expression
4r³ + 3r⁴ - (r⁴ - 5r³)
Step 2: Distribute negative
4r³ + 3r⁴ - r⁴ + 5r³
Step 3: Combine like terms
9r³ + 2r⁴
Let z = √(x^2 +2x +4).
Then your expression becomes
y = (z^2)^z
y = z^(2z)
And the derivative with respect to x is
y' = z^(2z)*(2z' +2ln(z)z')
= (2z')(1 +ln(z))(z^(2z))
Now
z' = (2x +2)/(2√(x^2 +2x +4)
= (x +1)/√(x^2 +2x +4)
So, your derivative is
y' = 2(x +1)/√(x^2 +2x +4) * (1 + (1/2)ln(x^2 +2x +4)) * (x^2 +2x +4)^√(x^2 +2x +4)
For x = 0, this becomes
2(1)/√4 * (1 +(1/2)ln(4)) * 4^√4
= 16*(1 + ln(2))
Answer:
<em>The slope of the line is </em><em />
Step-by-step explanation:
<u>The Slope of a Line
</u>
Suppose we know a line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the formula:
It's given the points (1,3) and (-2,2). Let's calculate the slope:
Calculating:
The slope of the line is