use a finite Approximation to eatimate the area under the graph of the given fun

Question

use a finite Approximation to eatimate the area under the graph of the given function on the stated interval as instructed.
F(x) = 16-x^2 between x=0 and x=4 using the left sum with four rectangles of equal width use a finite Approximation to eatimate the area under the graph of the given function on the stated interval as instructed.
F(x) = 16-x^2 between x=0 and x=4 using the left sum with four rectangles of equal width use a finite Approximation to eatimate the area under the graph of the given function on the stated interval as instructed.
F(x) = 16-x^2 between x=0 and x=4 using the left sum with four rectangles of equal width

Explanation / Answer

Let y=16-x^2

by taking width as one unit.

Lengths of the rectangles will be the value of y at x=0,1,2,3

at x=0 y=16 Area of the rectangle is 16 squts

at x=1 y=15 Area of the rectangle is 15 Sq units

at x=2 y=12 Area of the rectangle is 12 sq units

at x=3 y=7 Area of the rectangle is 7 Sq units.

Total area is 16+15+12+7=50 Sq units

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