Question

PLEASE HELP! MEDAL! @igreen @irishboy123

Answer 1

00.25%

Answer 2

What?

Answer 3

@mathmale

Answer 4

need a percent right

Answer 5

No...This is calculus. Do you know Calculus?

Answer 6

Right: the trapezoidal rule stems from Calculus, and is a method for approximating the area of an irregular shape such as the one given in this problem. If we're able to find this area, then the approx. volume of the pond would be this area times 20 feet (the average depth).

Answer 7

I can't figure out what values to use for the trapezoidal rule. The question states it is separated in 200-ft intervals, but the diagram does not illustrate that...and I don't know how the average depth (20 ft) plays into it...so I'm confused.

Answer 8

The pond has been subdivided into 8 horizontal strips (which represent strips of water 200 feet wide). Imagine you're in a boat on the pond; the bottom is 20 feet down, on average.

Describe your previous experience with the Trapezoidal Rule.

Answer 9

do you know the formula for this T. Rule?

Answer 10

yes

Answer 11

I know what the Trap. rule is, and the formula for it, and I've used it successfully in the past. I just don't know how to use it in this application

Answer 12

You are given 9 cross-pond measurements.

Following the usual pattern for the T. Rule:

f(0)=0, f(1)=860, f(2) = 1110, and so on. f(9) = ??

The width of each strip is 200 feet.

Answer 13

f(9) = 0, right?

Answer 14

I think I see now. You would use the width as the hieght of the trapezoids, right?

Answer 15

Yes. Strange problem, but this approach should work! Good luck!

Answer 16

Okay, thank you very much. :)

Answer 17

When you write out the formula for the Trap. Rule, be certain to include the width (200 ft).
You're welcome!

Answer 18

I got 1,318,000 ft^2. Is that right?

Answer 19

ft^3 I meant

@mathm