Answer:
(a) f'(1)=-4
(b) y+4x-4=0
Step-by-step explanation:
<u>Tangent Line of a Function</u>
Given f(x) a real differentiable function in x=a, the slope of the tangent line of the function in x=a is given by f'(x=a). Where f' is the first derivative of f.
We are given

The derivative is

(a) The slope of the tangent line at (1,0) is


(b) The equation of the tangent line can be found with the general formula of the line:

Where m is the slope and the point (xo,yo) belongs to the line. We have m=-4, xo=1, yo=0, thus

Or, equivalently

1 and 16/25 is bigger than 1 and 5/8
Answer: she can rent a boat or 2 hrs and 30 mins
Step-by-step explanation:
60+10=70
70+60=130
130+60=190
190+30=220
Answer:
Vector is 32 years old.
Step-by-step explanation:
As it is given that Mags is 34 years old and he is 2 years older than Vector.
Since Mags is 2 years older than Vector, Vector's age is 2 year less than Mags.
therefore we subtract 2 years from the age of Mags.
= 34 - 2 = 32 years
So Vector is 32 years old.
Answer:
1/9^15
Step-by-step explanation: