1. Find the area of the region bounded above by y = e^x, bounded below by y = x, and bounded on the sides
1 answer:
The area of the region bounded above by y= eˣ bounded by y = x, and bounded on the sides; x =0; and x = 1 is given as e¹ - 1.5.
<h3>What is the significance of "Area under the curve"?</h3>This is the condition in which one process increases a quantity at a certain rate and another process decreases the same quantity at the same rate, and the "area" (actually the integral of the difference between those two rates integrated over a given period of time) is the accumulated effect of those two processes.
<h3>What is the justification for the above answer?</h3>Area =
=
= e¹-(1/2-0); or
Area = e -1.5 Squared Unit
The related Graph is attached accordingly.
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So we can set up a right triangle in this situation with one of the legs being 21.4m and the height being 15m. Then we can use trigonometric formulas to find the angle of elevation of the sun.
Since we have the dimensions for the opposite and the adjacent sides, we can use the trigonometric function tangent to find the angle:
So let's plug this in:
However this is in radians - to convert to degrees, we must use the formula:
So then let's solve for degrees:
So now we know that the angle of elevation is 67.89°.
What would be included to prove both triangles are congruent by the AAS theorem is: B. AB ≅ QN because they are both opposite a right angle.
<h3>What is the AAS Congruence Theorem?</h3>The AAS congruence theorem states that two triangle are congruent if both have two pairs of corresponding congruent angles and a pair of non-included corresponding congruent sides.
In the image given, since AB and QN both lie opposite a right triangle, then they are congruent to each other.
Therefore, to prove both triangles are congruent by AAS theorem, what would be included is: B. AB ≅ QN because they are both opposite a right angle.
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