For the following figure, complete the statement for the specified points.
2 answers:
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If you project S onto the (x,y)-plane, it casts a "shadow" corresponding to the trapezoidal region
T = {(x,y) : 0 ≤ x ≤ 10 - y and -4 ≤ y ≤ 4}
Let z = f(x, y) = √(16 - y²) and z = g(x, y) = -√(16 - y²), each referring to one half of the cylinder to either side of the plane z = 0.
The surface element for the "positive" half is
dS = √(1 + (∂f/∂x)² + (∂f/dy)²) dx dy
dS = √(1 + 0 + 4y²/(16 - y²)) dx dy
dS = √((16 + 3y²)/(16 - y²)) dx dy
The the surface integral along this half is
You'll find that the integral over the "negative" half has the same value, but multiplied by -1. Then the overall surface integral is 0.
Answer:
(C)
Step-by-step explanation:
From the given statement, ≅
by the converse of the isosceles theorem as it states that if two angles are congruent in the triangle, then the two sides opposite to those equal angles will also be congruent that is
≅
.
Hence, Option C is correct.
Rest of the options are not correct as the reflexive property states that any geometric figure, any angle or any line segment has same size and shape. NEither is equal to
nor
by reflexive property as the condition is not fulfiiled.