Answer:
I = 1.47001
Step-by-step explanation:
we have the function
In polar coordinates we have
and dA is given by
Hence, the integral that we have to solve is
This integral can be solved in a convenient program of your choice (it is very difficult to solve in an analytical way, I use Wolfram Alpha on line)
I = 1.47001
Hope this helps!!!
Answer:
Step-by-step explanation:
<h3>Given</h3>
<u>Inequality</u>: (x-1)(x+2)(2x-7)≤0
<h3>Solution: </h3>
<u>If we solve the corresponding equation (x-1)(x+2)(2x-7)²= 0, we get roots </u>
<u>We need to consider the following 4 intervals: </u>
- (−∞; −2), [−2; 1], (1; 3.5), (3.5; ∞)
<u>1st interval</u> (−∞; −2)
- The expression (x-1)(x+2)(2x-7)² is positive as two of the multiples are negative and one is always positive (square number), and therefore does not satisfy the inequality.
<u>2nd interval</u> [−2; 1]
- The expression is negative as only one of the multiples is negative, and therefore the interval (−1; 2) satisfies the inequality.
<u>3rd interval</u> (1; 3.5)
- The expression is positive as all the multiples are positive. Therefore, the interval (1; 3.5) also does not satisfy the inequality.
<u>4th interval</u>
- The expression is positive as above, and therefore also does not satisfy the inequality.
<u>So, the answer to the inequality is:
</u>
Answer:
Cost of each ticket per person = $42
For groups of up to 8 people, the cost per ticket decreases by $3 for each person in the group.
Marco's ticket cost $30.
This means he paid 42-30=12 dollars less.
Now when there are 8 members, the cost decreases by $3.
So, $12 will decrease, when there will be members
I hope this helps! Have an awesome day!
Answer:
Andrew: 6.25 days
Bailey: 25 days
Step-by-step explanation:
