Answer:
(a) k'(0) = f'(0)g(0) + f(0)g'(0)
(b) m'(5) = 
Step-by-step explanation:
(a) Since k(x) is a function of two functions f(x) and g(x) [ k(x)=f(x)g(x) ], so for differentiating k(x) we need to use <u>product rule</u>,i.e., ![\frac{\mathrm{d} [f(x)\times g(x)]}{\mathrm{d} x}=\frac{\mathrm{d} f(x)}{\mathrm{d} x}\times g(x) + f(x)\times\frac{\mathrm{d} g(x)}{\mathrm{d} x}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cmathrm%7Bd%7D%20%5Bf%28x%29%5Ctimes%20g%28x%29%5D%7D%7B%5Cmathrm%7Bd%7D%20x%7D%3D%5Cfrac%7B%5Cmathrm%7Bd%7D%20f%28x%29%7D%7B%5Cmathrm%7Bd%7D%20x%7D%5Ctimes%20g%28x%29%20%2B%20f%28x%29%5Ctimes%5Cfrac%7B%5Cmathrm%7Bd%7D%20g%28x%29%7D%7B%5Cmathrm%7Bd%7D%20x%7D)
this will give <em>k'(x)=f'(x)g(x) + f(x)g'(x)</em>
on substituting the value x=0, we will get the value of k'(0)
{for expressing the value in terms of numbers first we need to know the value of f(0), g(0), f'(0) and g'(0) in terms of numbers}{If f(0)=0 and g(0)=0, and f'(0) and g'(0) exists then k'(0)=0}
(b) m(x) is a function of two functions f(x) and g(x) [ 
]. Since m(x) has a function g(x) in the denominator so we need to use <u>division rule</u> to differentiate m(x). Division rule is as follows : 
this will give <em>
</em>
on substituting the value x=5, we will get the value of m'(5).
{for expressing the value in terms of numbers first we need to know the value of f(5), g(5), f'(5) and g'(5) in terms of numbers}
{NOTE : in m(x), g(x) ≠ 0 for all x in domain to make m(x) defined and even m'(x) }
{ NOTE : 
}
Electron transfer theory describes the parameters which control the rate at which an electron is transferred from one atom or molecule to another.
<h3>
What was the basic principle of Marcus theory?</h3>
- In theoretical chemistry, Marcus theory is a theory originally developed by Rudolph A. Marcus, starting in 1956, to explain the rates of electron transfer reactions – the rate at which an electron can move or jump from one chemical species.
- Marcus' method (also referred to as Marcus's method and Method of Marcus) is a structural analysis method which was designed to design concrete slabs with rectangular, orthogonal shapes. It represents an adaptation of the strip method.
- Marcus Hush theory (M-H theory) was developed in 1956 by Rudolph A. Marcus which explains the fundamentals of the redox/ electron transfer reactions in terms of the rate of jumping/moving an electron from oxidant species (electron donor) to the reductant (electron acceptor).
- The "Marcus Inverted Region" (MIR) is that part of the function of rate constant versus free energy where a chemical reaction becomes slower as it becomes more exothermic.
We want to see how we can model the difference: -8 - 3 + 3
The correct option is D:
"add 3 positive counters and 3 negative counters"
We know that Marcus starts with 8 negative counters, corresponding to the first term in our difference.
Now, let's study the math of our expression.
-8 - 3 + 3
Remember that we can perform the operation in any order we want, so we can write this as:
-8 + (-3 + 3)
Notice that the thing inside the parentheses is equal to zero, so we have:
- 8 + (-3 + 3) = -8
So to not change the value, we add 3 and we subtract 3.
Now if we have 8 negative counters, and we want to add 3 positive counters and not change the value, then we also need to add 3 negative counters to "cancel" the 3 positive counters we added.
Then the correct option is D.
To learn more about Marcus refer to,
brainly.com/question/23140234
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Answer:
1 hour and 45 minutes
Hope this helped, have a nice day! :)
Sue Brown owes $280.00 in state taxes for the month.
Step-by-step explanation:
Given,
Gross pay of Sue in June = $8000
Tax rate = 3.5%
As full amount is taxable; therefore
Amount of tax to be paid = 3.5% of pay of June
Amount of tax to be paid = 
Amount of tax to be paid = 0.035*8000
Amount of tax to be paid = $280.00
Sue Brown owes $280.00 in state taxes for the month.
Keywords: percentage, multiplication
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