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) ?
Given the equation:
sin(x+y)=x+cos(y)
a) Differentiate y with respect to x
b) Give the equation of the line tangent to the curve of at the
point (0,π/4)
Consider the differential equation
y '' −
2y ' + 10y =
0; ex
cos(3x),
ex
sin(3x), (−∞, ∞).
Verify that the given functions form a fundamental set of
solutions of the differential equation on the indicated
interval.
The functions satisfy the differential equation and are linearly
independent since
W(ex
cos(3x),
ex
sin(3x)) = _____ANSWER HERE______ ≠ 0 for −∞ <
x < ∞.
Form the general solution.
y = ____ANSWER HERE_____