tambustqaze
2022-03-31
Nunnaxf18
Beginner2022-04-01Added 18 answers
Prove the sharper inequality
for
The base case is clear, and for the induction step, one must show that
for and . Geometrically that is clear by looking at the circle, the projection of an arc of fixed length in the upper semicircle to the x-axis is shortest when the arc is at the ends of the semicircle. Analytically, the assertion is
i.e. which follows since
Describe all solutions of Ax=0 in parametric vector form, where A is row equivalent to the given matrix
Find, correct to the nearest degree, the three angles of the triangle with the given vertices
A(1, 0, -1), B(3, -2, 0), C(1, 3, 3)
Whether f is a function from Z to R if
a) .
b) .
c) .
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