5. Determine if the following sets along with the given
operations form groups. If so, determine the identity element and
whether or not they are Abelian. If not, explain why.
(a) GL(n, Z) where ∗ is matrix multiplication. This is the
collection of all n × n nonsingular matrices with integral
entries.
(b) Sym(X) where X is a nonempty set and f ∈ Sym(X) if and only
if f : X → X is bijective where ∗ is composition.
(c)...
Given V=100V R=10kΩ C=10µF (10
pts)
Determine the mathematical expression for vc
Determine the mathematical expression for ic
Computer the capacitor voltage at t=150 ms
Computer the capacitor current at t=150 ms
Locate the points on the voltage and current curves.
Given Δ ABC , construct equilateral triangles Δ BCD , Δ CAE ,
and Δ ABF outside of Δ ABC . Prove that the circumcircles of Δ BCD
, Δ CAE , and Δ ABF are concurrent (go through the same point).
Write the expression as an equivalent expression in the form x^n.
Simplify your answer as much as possible, and enter your answer as
a fraction.
(X^6)^4/(X^6)(X^4)
1
(a) Given Δ ABC , construct equilateral triangles Δ BCD , Δ CAE
, and Δ ABF outside of Δ ABC . Prove that AD = BE=CF .
(b)Let ABCD be a convex quadrilateral. Show that the sum of the
two diagonals of ABCD is less than the perimeter P of ABCD, but
more than the semiperimeter P 2 of ABCD.
Write a program to check given expression is valid or not.The
expression consists of paranthsis like [{( if valid then
convert into postfix expression and after conversion then evaluate
postfix expession(using stack) and do not use build in stack. Use
the c++ laguage.