2 dollars per minute? The question isn't really very clear...
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
The formula of cylinder: 兀r^2×altitude
Take 兀 as 3.14
In this case,the equation will be:
兀1.5^2×3.5
=2.25兀×3.5
=7.875(3.14)
=24.7275
≈24.74
Thus the answer is B.24.74 m3.
hope it helps!
Answer:
0 to 30 minutes on edg.
Step-by-step explanation: