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Approximate the area between
h(x) and the
x-axis from
x=-2 to
x=4 using a right Riemann sum with 3 equal subdivisions.

R(3)=

◻ units
^(2).
Show Calculator

Approximate the area between $h(x)$ and the $x$ -axis from $x=-2$ to $x=4$ using a right Riemann sum with $3$ equal subdivisions. $\newline$ $R(3)=$ $\newline$ $\square$ units $^{2}$ . $\newline$ Show Calculator

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Simplify radical expressions with variables II

Full solution

Q. Approximate the area between

h(x)

and the

x

-axis from

x=-2

to

x=4

using a right Riemann sum with

3

equal subdivisions.

\newline

R(3)=

\newline

\square

units

^{2}

.

\newline

Show Calculator

Calculate Subdivision Width: First, we need to find the width of each subdivision. The interval from $x=-2$ to $x=4$ is $6$ units wide. Since we're using $3$ equal subdivisions, each subdivision will be $\frac{6}{3} = 2$ units wide.
Find Right Endpoints: Next, we calculate the $x$ -values at the right endpoints of each subdivision. Starting from $x=-2$ , we add the width of each subdivision to get the right endpoints: $-2+2=0$ , $0+2=2$ , and $2+2=4$ .
Evaluate Function $h(x)$ : Now we need to know the function $h(x)$ to evaluate it at these right endpoints. Since the problem doesn't provide $h(x)$ , we can't proceed with the calculation. We need the function to approximate the area.

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