Consider the area shown below. The height of the triangle is 8 and the length of its base is 3. We have used the notation Dh for
Δh.
Write a Riemann sum for the area, using the strip shown and the variable h: Riemann sum =Σ Now write the integral that gives this area: area =∫ba
Write a Riemann sum for the area, using the strip shown and the variable h: Riemann sum =Σ Now write the integral that gives this area: area =∫ba
1 answer:
Answer:
Step-by-step explanation:
Given that the triangle's height measures 8 and the base length is 3, we can apply the concept of similar triangles to represent the base of the smaller triangle in relation to h.
The height of the smaller triangle will be .
Denote x as the base of the smaller triangle. Thus, by utilizing the properties of similar triangles, we can establish ratios of the corresponding sides as illustrated below:
This allows us to express the area of the small strip with length x and thickness Dh as follows:
The desired Riemann sum can be articulated as:
The necessary areas can be represented as:
Your remaining answers are accurate.:)
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