Megan’s car averaged 336 miles on 12 gallons of gas. How many gallons of gas did Megan use to drive 1,344 miles on vacation? a.
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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
Hey there!
The formula for the volume of a cylinder is , which is essentially the base multiplied by the height.
If our diameter is six, then our radius is three, so we can solve for our base below. We will use 3.14 for pi.
Now, we multiply this by our height of four.
Therefore, our volume is 113.04 cubic units.
I hope this helps!