Math Answers

Convert (3–√,−1) into polar coordinates (r,θ) so that r≥0 and 0≤θ<2π.

Which of the following is a solution of 2z3+16i=0 ?

Write z1=3–√+i and z2=1−i in trigonometric form. Then the argument of the quotient z1/z2is given by

If z=8(cos5π/3+isin5π/3), then z6 is equal to

Convert 1−i/2 into trigonometric form

Question text

An aeroplane flies at a ground velocity (i.e. velocity relative to

the ground) of 300 km/h N 30o W, in a wind blowing at a velocity

of 50 km/h N 20o E. What is the velocity (speed and direction)

of the plane relative to the ground? (Use a calculator and round the speed

to the nearest km/h, and the corresponding angle to the nearest degree.)

Consider the decomposition of

6x3+x−3/x2−2x+1

into partial fractions

Use Descartes' Rule of Signs to find the possible number of negative zeros of p(x)=2x5+x4+x3−4x2−x−6

Which of the following is part of the set of all possible rational zeros of

f(x)=2x4−x3+6x2−5x−8?

Water is flowing downhill at 15.0m/s through a pipe that is at an angle of 75° with the horizontal. What are the components of its velocity?