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3 years ago

15

Suppose that 2 ≤ f '(x) ≤ 4 for all values of x. what are the minimum and maximum possible values of f(6) − f(2)? ≤ f(6) − f(2)

≤

1 answer:

LUCKY_DIMON [66]3 years ago

7 0

Okay now when it comes to this answer it most definitely is 48

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Step-by-step explanation:

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If the orientation of the cylinder is changed to have the height $u$ along the x-axis, the parametric equations of the cylinder match:

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Using the units vectors the parametric equations match:

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The parametric equations of the cone are:

$x(u,v)=au\cos v\\y(u,v)=au\sin v\\z(u,v)=u$

Using the units vectors and rotating the base of the cone from $z=0$ to $x=0$ the parametric equations match:

$2. \mathbf{r} \left( u, v \right) = u \mathbf{i} + u \cos v \mathbf{j} + u \sin v \mathbf{k}$

The equation left is the equation of a plane:

$4. \mathbf{r} \left( u, v \right) = u \mathbf{i} + v \mathbf{j} + \left( 2u - 3v \right) \mathbf{k}$

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