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# Nzewi Ernest Kenechukwu

Questions337

I'm an educationist who actually love research, as that alone can make me excel successfully in my field of study. I've always loved the field of science, particularly mathematics. The main reason I'm on the Yahoo! Answers Community is that I enjoy answering questions, learning from what others have contributed in their field of study and helping others the best I can to my ability in tackling mathematical or other scientific problems. Mathematical Symbols: ≤ ≥ π θ √ ° ≠ ∞ Δ ± ¢ ∩ ÷ → ω λ ρ Ω µ ƒ(x) • U α ≈ ø ∫

• ### A mathematics question as regards distance function...?

A distance function d is said to be defined as d(x, y) = |x² - y²| for all x, y ∈ ℝ. Prove that d is not a metric on ℝ.

• ### Simplify the expression [(b + c)^(- 3/8) - (b - c)^(- 3/8)] / [b^(2) - c^(2)]^(5/8)...?

The answer to the problem given is

[(b - c)^(3/8) - (b + c)^(3/8)] / [b^(2) - c^(2)]

How this came to be, I have no idea.

• ### A question regarding a rigid rod whose extremes are confined to move along the horizontal and vertical tracks...?

• ### A question on vectorial mechanics as regards the kinematics of rigid bodies...?

Explanations are needed on how the question is solved.

Thanks!

• ### A question relating to modular arithmetic...?

Solve for the values of x: x² ≡ 16 (mod 21)

I will be glad if an explanation is provided alongside with the calculation. Thanks!

• ### For what values of x would this converge...?

• ### A question relating to circle geometry...?

I will be glad if an explanation is given alongside with how x can be obtained. Thanks!

• ### A mathematics question involving how to obtain the number of ways a sitting arrangement is done...?

A school principal and his wife, as well as three other tutors are to be seated in a row, so that the principal and his wife are both seated next to each other. Find the total number of ways this can done.

• ### Solve the system of equations in w, x, y, z...?

If w + 4x + 9y + 16z = 4, 4w + 9x + 16y + 25z = 121, and 9w + 16x + 25y + 36z = 250. Find the value of 16w + 25x + 36y + 49z?

• ### A question regarding partial derivative, integration alongside with trigonometry...?

I really need help on this. I would be glad if an explanation be provided alongside with the calculation. Thanks!

• ### A question regarding the differential equations for kinetic energy...?

Show that for a single particle with constant mass, the equation of motion implies the following differential equations for kinetic energy:

dT/dt = F • V, while if the mass varies with time, the corresponding equation is

d(mT)/dt = F • P

I will be glad, if the explanation is provided alongside with the calculation.

Thanks!

• ### A Question Regarding the Properties of the Absolute Value of Real Numbers...?

Prove that |- x| = |x|, where x is a member of the real number system.

• ### A Question Regarding the Theorem of Existence and Uniqueness in Differential Equations...?

State without proof a theorem to guarantee the existence of a unique solution to the differential equation: y' = f(x, y), hence show that the differential equation: y' = y^(2/3); y(0) = 0 has infinitely many solutions.