Answer:
f(3/2)= 5√5
Step-by-step explanation:
f(3/2)= 5^(3/2)
f(3/2)= (5^3)^1/2 is the same things
f(3/2)= (125)^1/2 fraction exponent are the same are roots ^(1/2) is √
f(3/2)= √125
f(3/2)= √25 times √5 break up 125 to be 25 x 5
f(3/2)= 5√5 because √25 = 5 and √5 stays as √5
Step-by-step explanation:
m and n are parallel so x+18+5x-6 is equal to 180°.
6x+12=180
6x=168
x=28
> and = with line through it
Answer with Step-by-step explanation:
We are given that an equation
[tex7x+7y=6[/tex]
a.We have to find y' by implicit differentiation.
Implicit function:That function which is consist of x and y.The value of y does not depend x directly.
Differentiate w.r.t x
![7+7\frac{dy}{dx}=0](https://tex.z-dn.net/?f=7%2B7%5Cfrac%7Bdy%7D%7Bdx%7D%3D0)
![7\frac{dy}{dx}=-7](https://tex.z-dn.net/?f=7%5Cfrac%7Bdy%7D%7Bdx%7D%3D-7)
![\frac{dy}{dx}=\frac{-7}{7}=-1](https://tex.z-dn.net/?f=%5Cfrac%7Bdy%7D%7Bdx%7D%3D%5Cfrac%7B-7%7D%7B7%7D%3D-1)
![\frac{dy}{dx}=y'=-1](https://tex.z-dn.net/?f=%5Cfrac%7Bdy%7D%7Bdx%7D%3Dy%27%3D-1)
b.We have to solve the equation explicitly for y and differentiate to get y' in terms of x.
Explicit function:It is that function in which y is directly depend on x.
![7x+7y=6](https://tex.z-dn.net/?f=7x%2B7y%3D6)
![7y=6-7x](https://tex.z-dn.net/?f=7y%3D6-7x)
![y=\frac{6-7x}{7}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B6-7x%7D%7B7%7D)
Differentiate w.r.t x
![y'=\frac{1}{7}(0-7)=-1](https://tex.z-dn.net/?f=y%27%3D%5Cfrac%7B1%7D%7B7%7D%280-7%29%3D-1)
![y'=-1](https://tex.z-dn.net/?f=y%27%3D-1)
c.We have to find solutions of part a and part b are consistent by substituting the expression of y into the solution of part a.
When substitute
in y' of part a.
Then,![y'=-1](https://tex.z-dn.net/?f=y%27%3D-1)
Hence, solution of part a and part b are consistent.
Solve for x by simplifying both sides of the equation, then isolating the variable.
Exact Form: x= 2/5
Decimal Form: x= 0.4