is this right

[visual yoke]

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[glacial sluice]

You should probably write the formulas that you're using first, then substitute the values, as otherwise this is really difficult to check.

Probably also better to derive the general formula first for each problem.

[mellow stag]

I used y2-y1/x2-x1

[glacial sluice]

I know. But, for example, you could solve (18) like this.
(ΔP/Δx)(x1, x2) = (P(x2) - P(x1))/(x2 - x1) = 24(2^x2 - 2^x1)/(x2 - x1)
(ΔP/Δx)(0, 5) = 24(2^5 - 2^0)/(5 - 0) = 24*31/5 = 744/5
So, it's easier to catch your mistake: 2^0 = 1, not 0.

Same for (19) - find the general formula first:
(ΔC/Δx)(x1, x2) = (C(x2) - C(x1)/(x2 - x1) = (0.002(x2^3 - x1^3) + 0.09(x2^2 - x1^2) + 12(x2 - x1))/(x2 - x1)
Which can also be simplified to:
(ΔC/Δx)(x1, x2) = 12 + 0.09(x2 + x1) + 0.002(x2^3 - x1^3)/(x2 - x1)
Note that I didn't simplify the last fraction, since that will create terms that are less nice to calculate.

[mellow stag]

Ohhhh okay thank you! That packet didn’t teach me that way, I’ll try it out right now and tell you if I have any questions about it! Again, thank you!

[tight pilot]

@mellow stag has given 1 rep to @glacial sluice