Find equilibrium points x, 0 ? x ? 1, for the following function.f(x) = 1 - 

A. 0, 
B. 0, 
C.
D.


Answer: B

Mathematics

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Obtain the Cartesian equation of the curve by eliminating the parameter.x = cos ?, y = -2 sin22?

A. y = 2x(1- x2)
B. y = -8x2(1- x2)
C. y = -2x2(1- x2)
D. y = -8x2

Mathematics

Solve the problem.Write an iterated triple integral in the order  for the volume of the region in the first octant enclosed by the cylinder  and the plane .

A.
B.
C.
D.

Mathematics

Solve the problem.Let A = {x?x is a natural number divisible by 3 and x < 100 }, and let B = {x?x is a natural number divisible by 13 and x < 100 }. Find n(A ? B).

A. 38 B. 2 C. 40 D. 42

Mathematics

Write a matrix equation that is equivalent to the given system of linear equations and solve the system using the inverse matrix.

x1 + x2 – x3 + x4 = –1 2x1 + x2 + x3 = –1 2x1 + x2 + x4 = –2 –6x1 – x2 – x3 – 3x4 = 8 a. x1 = –2, x2 = 1, x3 = 2, x4 = –4 b. x1 = –4, x2 = 0, x3 = 0, x4 = 1 c. x1 = –1, x2 = 1, x3 = 0, x4 = –1 d. x1 = –1, x2 = 3, x3 = –3, x4 = –2 e. The system is inconsistent.

Mathematics