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Evgen [1.6K]
3 years ago
6

the cost of a parking permit consists of a one-time administration fee plus a monthly fee. a permit purchased for 12 months cost

s $660. a permit purchased for 15 months costs $810. what is the administration fee?
Mathematics
1 answer:
weqwewe [10]3 years ago
4 0
The cost of a parking permit consists of a one-time administration fee plus a monthly fee.
=> a permit purchased for 12 months costs $660.
=> a permit purchased <span>for 15 months costs $810. 
let's determine  the administration fee.
=> 810 - 660 dolalrs = 150 dollars is added for additional 3 months.
=> 150 / 3 months = 50 pesos per month.
=> 50 * 12  = 600 dollars.
=> 660 dollars - 600 dollars = 60 dollars is the administration fee.</span>
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Let f(x)=x^2f ( x ) = x 2. Find the Riemann sum for ff on the interval [0,2][ 0 , 2 ], using 4 subintervals of equal width and t
sladkih [1.3K]

Answer:

A_L=1.75

Step-by-step explanation:

We are given:

f(x)=x^2

interval = [a,b] = [0,2]

Since n = 4 ⇒ \Delta x = \frac{b-a}{n} = \frac{2-0}{4}=\frac{1}{2}

Riemann sum is area under the function given. And it is asked to find Riemann sum for the left endpoint.

A_L= \sum\limits^{n}_{i=1}\Delta xf(x_i) = \frac{1}{2}(0^2+(\frac{1}{2})^2+1^2+(\frac{3}{2})^2)=\frac{7}{4}=1.75

Note:

If it will be asked to find right endpoint too,

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The average of left and right endpoint Riemann sums will give approximate result of the area under f(x)=x^2 and it can be compared with the result of integral of the same function in the interval given.

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