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Vector
prove that A=3i+j2k ,B= i+3j+4k, C=4i2j6k can form a triangle and find the length of the medians of the triangle.

Determining the principle value of an ar...
20+i,20i

Formula by sequence of 3
1. what is the formula of the sequence by three?

Vibration of Electronic s Module
An electronic module is mounted on a machine and is modelled as a single degree of freedom spring, mass, and damper. During normal operation, the module of mass

Saving account at birth of their childre...
Parents put $1000 into a saving account at birth of their children. If the account earns interest at 7% p.a compounded yearly, how much money will be in the acc

Hypothesis of this statement
A) For a given integer n, if n 2 is divisible by 4, then n2 4 is divisible by 16. State the hypothesis of this sentence and the conclusion. Give a direct pr

Loop transfer function
Given the loop transfer function G(s)H(s) = k/s(s+3)(s+4)(s+5) (a) Sketch the root locus plot for G(s)H(s). (b) What is the system gain at s = 1+ 2i?

Determine the missing entries
Determine the missing entries in the following divided difference table and use the result to estimate f(1/2).

Fast fourier transform
From this point on it is assumed that any problem amenable to solution with the aid of the Discrete Fourier Transform (or DFT) will in fact be treated computati

Notice at the gym
You notice at the gym that it appears more women tend to work out together, whereas more men tend to work out alone. To examine whether this difference is sign

Accurately measure the fluid level
You are working as an engineer on a project that involved being able to accurately measure the fluid level change in a large outdoor holding tank. The fluid lev

Two distinct case
A) Prove the following theorem by considering two distinct cases. For any integer n, n 2 + n is even. B) If x = r 2  s 2 and y = 2rs for any integers r

Truss elements and fe project
A new gantry crane for a metal fabrication shop is to be designed. The designer has proposed the following two different configurations: A. Using only truss ele

Income tax return
Below are items that affected the 2011 accounting records for Darwin Adaptions Inc. The annual accounting period ended December 31, 2011. No adjusting entries

Control theory.
Hi I have just received a math assignment and was wondering if you can take a look at it and tell me if you can be finished before the 12th of february and wh

