The equation of the tangent line at x=1 can be written in point-slope form as
... L(x) = f'(1)(x -1) +f(1)
The derivative is ...
... f'(x) = 4x^3 +4x
so the slope of the tangent line is f'(1) = 4+4 = 8.
The value of the function at x=1 is
... f(1) = 1^4 +2·1^2 = 3
So, your linearization is ...
... L(x) = 8(x -1) +3
or
... L(x) = 8x -5
24 hours in a day
24x7=168 hours
Answer:
She could do 3x+45
Step-by-step explanation:
for 3 weeks and x amount of money would be 3x, and for 15 a week for baby sitting. 15*3=45. This gives you the equation 3x+45 .
True.
sum of exterior angles of a pentagon equals 360°
Answer:
-7/4
1/8
Step-by-step explanation:
1. If the problem is; (1 3/4) / (1/2 - 1 1/2)^(3)
<u>(a). Convert to improper fractions;</u>
(7/4) / (1/2 - 3/2)^3
<u>(b). Simplify;</u>
(7/4) / (-2/2)^3
(7/4) / (-1)^3
(7/4) / (-1)
-7/4
2. If the problem is; ((1 3/4) / (1/2)) - (1 1/2)^3
<u>(a). Convert to improper fractions;</u>
((7/4)/ (1/2)) - (3/2)^3
<u>(b). Simplify;</u>
((7/4)/ (1/2)) - (3/2)^3
((7/4)*(2/1)) - (27/8)
(7/2) - (27/8)
(28/8) - (27/8)
1/8
