Answer:

Step-by-step explanation:
The given equation is :

Taking x common from the above equation.

Nothing can be taken from above equation now. We can write the answer as :

Hence, this is the required solution.
f(x)=lnx
y=f(x)
dy/dx= 1/x
tangent at (x,y) has slope 1/x
eqn of tangent is y = mx + c
since the tangent passes through origin, c=0
substitute y = lnx and m= 1/x to above eqn
lnx = 1
x=e
y=lne=1
Answer:
The length of rectangle is 6 units and the width is 1.5 units
Step-by-step explanation:
Let
L -----> the length of rectangle
W ----> the width of rectangle
we know that
The area of rectangle is equal to

we have

so
-----> equation A
A rectangle width is one fourth it’s length
so
----> equation B
substitute equation B in equation A and solve for L


take square root both sides

Find the value of W


Answer:
You can either use substation or you can use elimination on both of the problems
Step-by-step explanation: