Answer:
Step-by-step explanation:
R=4x+3
H=3x+6
Volume of a cylinder= Πr²h
inserting the parameters
v=π(4x+3)²(3x+6)
v=π(16x²+24x+9)(3x+6)
V=π[3x(16x²+24x+9) +6(16x²+24x+9)]
v=Π(48x³+72x²+27x+96x²+144x+54)
v=π(48x³+168x²+171x+54)m³
It’s the first one since parallel means same slope
Answer:


Step-by-step explanation:

Completing the square is a process of converting a quadratic equation in standard form into vertex form.
The first step in completing the square is grouping the quadratic and linear terms of the quadratic equation.

Factor out the coefficient of the quadratic term,

Now complete the square, add a term to make the grouped part of the equation a complete square, then balance the equation.

Simplify,



The x-coordinate of the vertex of the equation is equal to (-1) times the numerical part of the quadratic term, and the y-coordinate is equal to the constant.

The axis of symmetry is found within the set of parenthesis with the x. If our h value of the vertex is -4, then the axis of symmetry is x = -4. D is that choice. Cannot graph it here, but your vertex is sitting at (-4, 4), it's an upside down parabola, and some other points on this graph are (-5, 0), (-3, 0), (-6, -12), (-2, -12). You could graph it using those points and the vertex without a problem, I'm sure.
In this question (brainly.com/question/12792658) I derived the Taylor series for
about
:

Then the Taylor series for

is obtained by integrating the series above:

We have
, so
and so

which converges by the ratio test if the following limit is less than 1:

Like in the linked problem, the limit is 0 so the series for
converges everywhere.