:) transform each polar equation in rectangular coordinates and identify its shape. 1. theta= 1.34 radians 2. r=tan(theta)sec(theta)

To solve this question we will make use of the basic relationship between the variables of the polar and cartesian coordinates.

They are:

and and

Let us solve the question now:

1.

The above is the answer for question 1. It is a straight line which passes through the origin.

2. It is given that:

which can be rewritten as:

Now, we know that:

Therefore, we get:

Which gives us, after cross multiplying :

(Since, )

Therefore, is the final answer we get by cross multiplying x.

This is a parabola.

step-by-step explanation:

the original amount doesn't ''re just looking for the time it takes for 1/2 of the substance to we have

(1/2) =)     take the ln   of both sides

ln (1/2)   = )   and we can write

ln(1/2) = ) lne     and lne   = 1     so we have

ln(1/2) = -.1092t     divide both sides by -.1092

t = ln(1/2)/-.1092 = about 6.347 days = about 6.3 days (rounded)

a 360 degree rotation

step-by-step explanation: