3) Solve the system of equations
x + 5x + 2x = 6
8x^2 - 7x^3 = -2
5x^3 = 0
(4) Solve the system of equations
x + 2y - z = 1
x + z = 5
4x + 4y = 12
(5) Solve the equation
2sin^2(x) + 1 = 3sin(x)
for sin(x) and then for x.
(6) Solve the equation
5cos(x) = 4 - x^3
Make sure you find all solutions.
(7) Solve the equation
x^5 + x^4 + x^3 + x^2 + x + 2 = 0
(8) Sketch the graphs of
f(x) = x^3 - 7x^2 + 2x + 20
and
g(x) = x^2
on the same set of axes and find their points of intersection.
(9) Sketch the graphs of
f(x) = x^3 - 7x^2 + 2x + 20
and
g(x) = x^2
on the same set of axes and find their points of intersection.
(10) For the data given below, obtain a linear fit:
x
5
10
20
50
100
15.5
33.07
53.39
140.24
301.03