If the interval \( [3,6] \) is partitioned into \( n=4 \) subintervals of equal length, what is \( \Delta x \) ? \( \Delta x=\square \) (Type an exact answer in simplified form.)

To find \( \Delta x \) when the interval \([3,6]\) is partitioned into \( n=4 \) subintervals of equal length, we can use the formula: \[ \Delta x = \frac{b - a}{n} \] where: - \( a \) is the starting point of the interval (3 in this case), - \( b \) is the ending point of the interval (6 in this case), - \( n \) is the number of subintervals (4 in this case). Substitute the values into the formula to find \( \Delta x \). Calculate the value by following steps: - step0: Calculate: \(\frac{\left(6-3\right)}{4}\) - step1: Remove the parentheses: \(\frac{6-3}{4}\) - step2: Subtract the numbers: \(\frac{3}{4}\) The value of \( \Delta x \) when the interval \([3,6]\) is partitioned into \( n=4 \) subintervals of equal length is \( \frac{3}{4} \) or 0.75.