question let f be the function graphed below. if three subintervals of equal length are used, draw…

question let f be the function graphed below. if three subintervals of equal length are used, draw trapezoids whose area represents a trapezoidal sum approximation of ∫₂⁹.⁵ f(x) dx. width of each subinterval:

question let f be the function graphed below. if three subintervals of equal length are used, draw trapezoids whose area represents a trapezoidal sum approximation of ∫₂⁹.⁵ f(x) dx. width of each subinterval:

Answer

Explanation:

Step1: Calculate sub - interval width

The formula for the width $\Delta x$ of sub - intervals when dividing the interval $[a,b]$ into $n$ sub - intervals is $\Delta x=\frac{b - a}{n}$. Here, $a = 2$, $b=9.5$, and $n = 3$. $\Delta x=\frac{9.5 - 2}{3}$

Step2: Simplify the expression

$\Delta x=\frac{7.5}{3}=2.5$

Answer:

$2.5$