Alan

49229 = 19*2591

See https://web2.0calc.com/questions/i-need-help-on-graphing-piecewise-limits-with-infinity#r1 

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3.2 = 8e^-0.51t  

Take logs of both sides

ln(3.2) = ln(8e^-0.51t)

Use the properties of logs to express this as

ln(3.2) = ln(8) - 0.51t

Rearrange:

0.51t = ln(8) - ln(3.2)

0.51t = ln(8/3.2)

t = ln(8/3.2)/0.51 ≈ 1.8 s

This factorises as:

(x - 1)(x + 1)(x - 2)(x + 7) = 0

I'm sure you can take it from there!

"If someone could, can you tell me how i should approach a similar problem like this. I know how to plot most of them but the infinites are throwing me off."

Here is one possibility:

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How about:

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Hmm!!

0^0 is undefined.

Force is mass*acceleration, so acceleration = force/mass.

Substitute your numbers in here (with mass in kg and force in N, acceleration will be in m/s²

I assume a is meant to be:  a = 2i - 6j + k

with b = -3j - 2k

To add them you just add corresponding coefficients of i, j and k to get:

c = 2i - 9j - k

To get the unit vector in this direction divide each coefficient by the size of c

|c| = sqrt(2² + (-9)² + (-1)²)  → sqrt(86) 

c = (2i - 9j - k)/sqrt(86)

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Nicely detailed TheXSquaredFactor,  though I think the use of R^2 here is, perhaps, overkill!

Also, if part 5 refers specifically to the two fits here, I would expect to see the word "underpredict" appear.

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