1. second option
2. first option
Answer: The distance from Thomas to Sebastian is 58.39 feet
Step-by-step explanation: Please see the attachments below
Answer:
Step-by-step explanation:
This is written in vertex notation, meaning that (c,d) is the vertex. We know that c is positive and d is negative, meaning the vertex will be in the 4th quadrant. As for whether the parabola opens upwards or downwards, the quadratic term has a positive coefficient of 1, meaning the parabola opens upwards.
Hope this helps!
For each <em>x</em> in the interval 0 ≤ <em>x</em> ≤ 5, the shell at that point has
• radius = 5 - <em>x</em>, which is the distance from <em>x</em> to <em>x</em> = 5
• height = <em>x</em> ² + 2
• thickness = d<em>x</em>
and hence contributes a volume of 2<em>π</em> (5 - <em>x</em>) (<em>x</em> ² + 2) d<em>x</em>.
Taking infinitely many of these shells and summing their volumes (i.e. integrating) gives the volume of the region:

Answer:
if the diameter of the circle is 25, then the radius will be 12.5.
A=3.14(12.5)2 --> 490.9m^2
C= 2*3.14(12.5)---> 78.5 m