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:
5
Step-by-step explanation:
Assuming both players can answer the same question, the minimum number of questions is the smallest number that when multiplied by either 0.60 or 0.80 yields a whole number.
Let x be the number of questions, solving by trial and error:

Therefore, the minimum number of questions in the game is 5.
Step-by-step explanation:
We know that,

Where,
X = raw score = 84
μ = mean = 68
σ = standard deviation = 10
Putting the values,

The percent of his sales that were less than or equal to 84 inches, is

Therefore, the remaining 100-94.5=5.5% were more than 84 inches.
52 lbs you get the answer by adding the two weights of the bags
The sides of an isosceles right triangle are in ratio
.
Answer: 14√2