a. 1 1 cos(x)cos(y) = -cos(x-y) + -cos(x + y) 1 l
sin(x)sin(y) = -cos(x-y)--cos(x+ y) 1 l sin(x)cos(y) =—sin(x-y)
+-sin(x + y) A DSB-FC (double sideband-full carrier) signal s(t) is
given by, s(t) = n cos(2rr/cf)+ cos(2«-/mt)cos(2«-fct) What is the
numeric value for the AM index of modulation, m, fors(f) ?
f (x) = -0.248226*cos (2 x) - 0.0184829*cos ((2+2)x) -
0.0594608*cos(x)*sin(x) + 0.123626*sin ((2+2)x).
The intervall is ]0, 3/2[
What is the local maximum and local minimum? Answer with 5
decimals
Determine whether each set of vectors is linearly dependent or
linearly independent.
a) (1,1,0,1), (1,0,1,1), (0,1,1,1)
b) (1,0,1,0), (0,1,0,1), (1,-1,1,-1), (1,-1,0,0)
Determine whether the members of the given set of vectors are
linearly independent. If they are linearly dependent, find a linear
relation among them of the form c1x(1) + c2x(2) + c3x(3) = 0. (Give
c1, c2, and c3 as real numbers. If the vectors are linearly
independent, enter INDEPENDENT.) x(1) = 9 1 0 , x(2) = 0 1 0 , x(3)
= −1 9 0
For the given function determine the following: f (x) = (sin x +
cos x) 2 ; [−π,π] a) Find the intervals where f(x) is increasing,
and decreasing b) Find the intervals where f(x) is concave up, and
concave down c) Find the x-coordinate of all inflection points