Estimate the volume of the solid that lies below the surface z = xy and above the following rectangle. R = (x, y) | 2 ≤ x ≤ 8, 6
≤ y ≤ 10 (a) Use a Riemann sum with m = 3, n = 2, and take the sample point to be the upper right corner of each square. (b) Use the Midpoint Rule to estimate the volume of the solid.
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Please find the attached file for a proper understanding of the question given here. The diagram in the file attached is the complete accompanying diagram of the question.
As per that diagram, (which is given)
and we know that (vertically opposite angles).
Thus, the only way ΔDSB ≅ ΔTSR by SAS is when as indicated in the diagram.
Thus, is the correct answer.
The factorization of 12a^3b^2 +18a²b^2 – 12ab^2 is
<u>Solution:</u>
Given, expression is
We have to factorize the given expression completely.
Now, take the expression
Taking as common term,
Taking "a" as common term,
Taking "6" as common term,
Splitting "3a" as "4a - a" we get,
Hence, the factored form of given expression is