Find the exact value under the given conditions
1) tanx=-7/24, x lies in quadrant 2, cos(y)= 3/4, y lies in
quadrant 1
Find: sin(x+y), cos(x+y), tan(x+y)
2) cos(x)=21/29 x in quadrant 4, sin(y)=-5/12, y in quadrant
3
Find: cos(x+y)
Find dy/dx for a & b
a) sin x+cos y=1
b) cos x^2 = xe^y
c)Let f(x) = 5 /2 x^2 − e^x . Find the value of x for which the
second derivative f'' (x) equals zero.
d) For what value of the constant c is the function f continuous
on (−∞,∞)?
f(x) = {cx^2 + 2x, x < 2 ,
2x + 4, x ≥ 2}
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) ?
Consider the vector function given below.
r(t) =
2t, 3 cos(t), 3 sin(t)
(a) Find the unit tangent and unit normal vectors T(t) and
N(t).
T(t) =
N(t) =
(b) Use this formula to find the curvature.
κ(t) =
The point ?(√6 cos ? , √3 sin ?) is on an ellipse.
a) Write down the equation of this ellipse in Cartesian form and
find its foci.
b) A hyperbola has the same foci as this ellipse and one of the
branches cuts the ?-axis at 1. What is the equation of the
hyperbola?