Evaluate the line integral ? cx2zds, where c is the line segment from (0,5,2) to (2,7,8).

We want to evaluate the line integral: x^2*zds on the line segment that goes from (0,5,2) to (2,7,8), we will get that the line integral is equal to 24.

So we just need to solve a triple integral, notice that we don't have a dependence on y, then we write the points just as (0, 2) and (2, 8)

Then we can find a linear relation between x and z, such that the slope of that line is:

And when x = 0, we have z = 2.

Then the linear equation is:

z = 3*x + 2

Then the line integral is just:

Where the second integral is just equal to 2, so we have:

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the answer is 200

step-by-step explanation:

the way the question is worded, it seems to imply the $264 interest is simple interest, not compound interest.

the simple interest for 2 years is $264; the simple interest for 1 year is $132.

$132 interest on a $600 investment means an interest rate of (132/600)*100 = 22%.

the value of $200 at 22% interest compounded annually for three years is

200%281.22%29%5e3

the amount of interest is that value, minus the original $200.

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step-by-step explanation: