question 3 of 17 the rectangles in the figure have been drawn to approximate ∫₀⁶ g(x)dx. (a) do the…

question 3 of 17 the rectangles in the figure have been drawn to approximate ∫₀⁶ g(x)dx. (a) do the rectangles represent a left or a right sum? the rectangles represent a left sum. (b) do the rectangles lead to an upper or a lower estimate? they lead to a lower estimate. (c) what is the value of n? n = (d) what is the value of δx? δx =

question 3 of 17 the rectangles in the figure have been drawn to approximate ∫₀⁶ g(x)dx. (a) do the rectangles represent a left or a right sum? the rectangles represent a left sum. (b) do the rectangles lead to an upper or a lower estimate? they lead to a lower estimate. (c) what is the value of n? n = (d) what is the value of δx? δx =

Answer

Explanation:

Step1: Determine n (number of sub - intervals)

Count the number of rectangles. There are 3 rectangles, so $n = 3$.

Step2: Calculate $\Delta x$

The formula for $\Delta x=\frac{b - a}{n}$, where $a = 0$, $b = 6$ and $n = 3$. So $\Delta x=\frac{6-0}{3}=2$.

Answer:

(c) $n = 3$ (d) $\Delta x = 2$