Answer:
The integral diverges
Step-by-step explanation:
Consider the integral from 0 to infinity of
We can do this in parts
When we substitute limits infinity we find that the values become infinity
Hence the integral diverges
The given improper integral diverges
Answer:
x = 6
Step-by-step explanation:
The ratio of consecutive terms is the same, so we have ...
x/3 = (x +6)/x
x^2 = 3(x +6) . . . . . . multiply by 3x
x^2 -3x -18 = 0 . . . . subtract 3(x+6), simplify
(x -6)(x +3) = 0 . . . . factor
x = 6 . . . . . . . . . the only possible positive value
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<em>Additional comment</em>
The zero product rule tells you that a product will be zero if and only if a factor is zero. That is, the solutions to this equation are values of x that make the factors zero: x = 6, x = -3.
Profit would be the revenue minus the cost
so R=x^3-6x^2 +x +75 - C=x^2-70x =
see picture for answer
Answer:
Chef Rita can feed 20 people with 55 pancakes.
Step-by-step explanation:
We can solve this problem using equivalent ratios. Since we know that Chef Rita can feed 8 people with 22 pancakes, we can set up the ratio:
To solve how many people she would be able to feed with 55 pancakes, we can set ratios equal to each other and solve for 'x' which is the number of people.
We can see what factor we multiply 22 by to get 55 and then we multiply the denominator by the same factor to get our equivalent ratio. 55 ÷ 22 = 2.5. So, 8 x 2.5 = 20 people.
21 to 3.5
goals to minutes