Answer: 27/5
Step-by-step explanation:
Answer:
William weighs 111 pounds.
Step-by-step explanation:
N = x+6
W = x
T = x-3
x+6+x+x-3=336
3x + 3 = 336
3x = 336 - 3
x = 333/3
x = 111
We are given
![f(x)=e^{x} cosh(x)](https://tex.z-dn.net/?f=f%28x%29%3De%5E%7Bx%7D%20cosh%28x%29)
Since,
and
are multiplied
so, we will use product rule of derivative
![\mathrm{Apply\:the\:Product\:Rule}:\quad \left(f\cdot g\right)'=f\:'\cdot g+f\cdot g'](https://tex.z-dn.net/?f=%5Cmathrm%7BApply%5C%3Athe%5C%3AProduct%5C%3ARule%7D%3A%5Cquad%20%5Cleft%28f%5Ccdot%20g%5Cright%29%27%3Df%5C%3A%27%5Ccdot%20g%2Bf%5Ccdot%20g%27)
![f'(x)=\frac{d}{dx}\left(e^x\right)\cosh \left(x\right)+\frac{d}{dx}\left(\cosh \left(x\right)\right)e^x](https://tex.z-dn.net/?f=f%27%28x%29%3D%5Cfrac%7Bd%7D%7Bdx%7D%5Cleft%28e%5Ex%5Cright%29%5Ccosh%20%5Cleft%28x%5Cright%29%2B%5Cfrac%7Bd%7D%7Bdx%7D%5Cleft%28%5Ccosh%20%5Cleft%28x%5Cright%29%5Cright%29e%5Ex)
we know that
![\frac{d}{dx}\left(e^x\right)=e^x](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%5Cleft%28e%5Ex%5Cright%29%3De%5Ex)
and
![\frac{d}{dx}\left(\cosh \left(x\right)\right)=\sinh \left(x\right)](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%5Cleft%28%5Ccosh%20%5Cleft%28x%5Cright%29%5Cright%29%3D%5Csinh%20%5Cleft%28x%5Cright%29)
so, we can plug these values
and we get
...............Answer
It's essential you understand precisely what "polynomial" means.
Characteristics of polynomials:
1) All powers of x are zero or positive integers. This eliminates any powers of x which show up in the denominator of any term. No square or cube roots, for example.
2) Coefficients are real numbers, but need not be integer.
3) Generally you'll have a function name (such as "y") on the left of the " = " sign and ONLY powers of the independent variable (such as "x") on the right side.
In the list given, I see 2 polynomials. In 6 + w appears the first power of w; that integer power is 1. In the second I see y with the fractional exponent (1/3); this expression is NOT a polynomial. In the third, we have the same situation as in the first (6+w); this is a poly. In the fourth and last expression, I see a mixture of x and y. y = 2x^4 would be poly, but 2x^4 - y would not.