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
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?
1) Find the critical numbers of the function.
f(θ) = 16 cos θ + 8 sin^2 θ
θ=?
2) Find the absolute maximum and absolute minimum values of f on the given interval.
f(x) = x/(x^2 − x + 9), [0, 9]
3) f(x) = 3x3 + 4x2 + 7x + 5, a = 5
(f −1)'(a) = ?
Simplify. Do not give trig values.
1) 2 sin40 cos 40
2) 10 sin 18 cos 18
3) (tan 22)^2
4) 2 (cos 37)^2 - 1
5) (cos 29)^2 - 1
6) (sin 33)^2 + (cos 33)^2
7) (sin 38)^2 - (cos 38)^2
8) cos 67 cos 31 + sin 67 sin 31
9) cos 81 cos 53 - sin 81 sin 53
10) cos 46 / sin 46
11) sin 50 / cos 40
12) sin 44 cot 44...