Homework Statement
The solutions of the equation a^3 z^3+b^3 i =0
where a,b are an element of R+
The Attempt at a Solution
a^3 z^3 = - b^3 i
z^3 = (-b^3 i) / (a^3)
Now I'm stuck.
Any other suggestions?
Homework Statement
If z = x + ( x+1) i, find the value of x for which Arg (z) = pi/3
Homework Equations
The Attempt at a Solution
( x+1/x) = pi/3
x = 3/( pi -3)
Answer: ( 3) ^(1/2) + 1 divided by 2
Homework Statement
An arrow of mass 100 g is fired with an initial horizontal velocity of 40 m s–1 to the right at an apple of mass 80 g that is initially at rest on a horizontal surface. When the arrow strikes the apple, the two objects stick together. What is the common velocity of the...
Homework Statement
State the range
y=inverse tan( 2x)
The Attempt at a Solution
The original range of inverse tan is ( -pi/2, pi/2)
Should tan inverse (2x) have (-pi, pi) as its range?
Homework Statement
For a cubic polynomial P(x), with real coefficients, P(2+i)=0, P(1)=0 and P(0)=10.
Express P(x) in the form P(x)=ax^3+bx^2+cx+d
and solve the equation P(x)=0
Homework Equations
The conjugate factor theorem
The Attempt at a Solution
Using remainder...
I hope, I've posted this question in the right section.
Homework Statement
Solve the fooling equation over C
z^3+ 8 = 0
The Attempt at a Solution
First Attempt
z^3 = -8
cube root (2 ^3) = cube root (8 i^2 )
z = 2i
Second Attempt
z^3 = -8
z ^3 = -2 ^3
so, z = -2
Homework Statement
A ford is traveling at 59 km/h while a Holden has a speed of 60 km/h
Calculate the velocity of the Holden relative to the Ford when they are traveling in:
in the same direction
The Attempt at a Solution
59+60 = 119 km/h
However the answer is 1 km/h...