The first thing in the reason column of a two colum proof is always GIVEN as it always coincide with an established fact which has been stated in the question to be worked on.
Two colum proofs involves using a tabulated format in establishing a conjecture.
Statements or facts are written on one side and the reason why the statement is true is stated in the reason column which is on the opposite side.
Starting a two column proof usually involve stating the the assumptions which are given about the shape or geometry.
Since each statement made requires a reason, then the reason behind the first statement which is based on what is stated in the question is written as GIVEN.
THEREFORE, after the statement given in the question has been established, then other reasons such as distributive, Commutative and other reasons may be used to proof one's solution statement.
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If f(x) is an anti-derivative of g(x), then g(x) is the derivative of f(x). Similarly, if g(x) is the anti-derivative of h(x), then h(x) must be the derivative of g(x). Therefore, h(x) must be the second derivative of f(x); this is the same as choice A.
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Let 
be the length of a leg. Using the pythagorean theorem, the hypotenuse is
So, the hypotenuse is 
times as long as either leg.
4. SOLVE FOR X:
Using the Alternate Interior Angles Theorem, we know that the 67 degree angle is congruent with the (12x - 5) degree angle. With this information, all I have to do is set the two equal to each other and solve for x.
67 = 12x - 5
67 + 5 = 12x - 5 + 5
72/12 = 12x/12
6 = x
x = 6
SOLVE FOR Y:
Using the Vertical Angles theorem, we know that angle y must be congruent to the 67 degree angle.
y = 67 degrees.
5. SOLVE FOR Y:
Alternate exterior angles: 6(x - 12) = 120
6x - 72 + 72 = 120 + 72
6x/6 = 192/6
x = 32
SOLVE FOR Y:
6((32) - 12) + y = 180
192 - 72 + y = 180
120 + y - 120 = 180 - 120
y = 60
Answer: 0
Step-by-step explanation:
This could be written as
Applying L'H rule and differentiating 3 times , we have
taking the limit as x goes to infinity , we have
0
