Four positive numbers, each less than 110, are rounded to the first decimal place and then multiplied together. Use differentials to estimate the maximum possible error in the computed product that might result from the rounding.

Therefore, the estimated maximum possible error that might result in the rounding is 585, 640.

Step-by-step explanation:

Since we have been given four ipositive numbers, each less than 110. W let p, q, r and s be the four positive numbers where we define W as being = p, q, r, s and we also define pqrs as the multiplier positive numbers.

We should note in the narrative of the question that it was not stated that the less than or equal to 110.

However, in the solving of this problem, we assume that p, q, r, s ≤ 110

Moving forward to differentiate the values, we have:

dw = dw / dp. dp + dw/dq. dq + dw/dr. dr + dw/ds. ds

Therefore,

we have:

dw = 110 x 110 x 110 x 0.11 + 110 x 110 x 110 x 0.11 + 110 x 110 x 110 x 0.11 + 110 x 110 x 110 x 0.11

Thus, in represented to the values above, the maximum possible value of pqrs is 110. So we let the differential vale dp, dq, dr, ds to equal 0.11

So, calculating further,

dw = 146410 + 146410 + 146410 + 146410

dw = 585640.

Therefore, the estimated maximum possible error that might result in the rounding is 585, 640.