The derivative of the function is 2x/(3+x²).
<h3>What is Derivative?</h3>
The derivative is the instantaneous rate of change of a function with respect to one of its variables.
Given function:
y= ln(3+x²)
Differentiating and applying chain rule
=1/(3+x²) d/dx(3+x²)
=1/(3+x²) (2x)
= 2x/(3+x²)
Hence, the derivative of the function is 2x/(3+x²).
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<h3>
Answer:</h3>
System
Solution
- p = m = 5 — 5 lb peanuts and 5 lb mixture
<h3>
Step-by-step explanation:</h3>
(a) Generally, the equations of interest are one that models the total amount of mixture, and one that models the amount of one of the constituents (or the ratio of constituents). Here, there are two constituents and we are given the desired ratio, so three different equations are possible describing the constituents of the mix.
For the total amount of mix:
... p + m = 10
For the quantity of peanuts in the mix:
... p + 0.2m = 0.6·10
For the quantity of almonds in the mix:
... 0.8m = 0.4·10
For the ratio of peanuts to almonds:
... (p +0.2m)/(0.8m) = 0.60/0.40
Any two (2) of these four (4) equations will serve as a system of equations that can be used to solve for the desired quantities. I like the third one because it is a "one-step" equation.
So, your system of equations could be ...
___
(b) Dividing the second equation by 0.8 gives
... m = 5
Using the first equation to find p, we have ...
... p + 5 = 10
... p = 5
5 lb of peanuts and 5 lb of mixture are required.
We know that
<span>the sum of the residuals must be equal to zero
</span>let
x------> <span>the third residual
-12+24+x=0
12+x=0-----> add -12 both sides
x=-12
the answer is
</span> the third residual is -12<span>
</span>
Answer:
Yes.
Step-by-step explanation:
4 (2m + 3m) +6m - 5
8m + 3m + 6m -5
17m - 5
