Straight
Never ending (You can tell this as there are arrows on the ends)
On a diagonal with a negative slope
Answer:
16.5
is the rational number between them
Step-by-step explanation:
Answer:

Step-by-step explanation:
We are given that
Equation of curves


Both curves lie on S.
We have to find the equation of tangent plane at P(4,1,4).


Hence, t=0 and u then it satisfied the given point.
Substitute the values in the derivatives


The equation of tangent at point P(4,1,4) is given by




The equation would be s = 45w and she would have 360 in 8 weeks.
In order to find this, we first have to find the per week amount. To find this, we divide the amount by the number of weeks.
135/3 = 45
Now that we have this we can multiply that by the variable and set equal to the total amount.
s = 45w
Now to find the amount in 8 weeks, simply plug in the 8 to w.
s = 45w
s = 45(8)
s = 360
Answer:
tan(θ) is undefined.
Step-by-step explanation:
Recall that tan(θ) = sin(θ) / cos(θ). We are given that sin(θ) = -1. Hence:

Since 1 / cos(θ) = sec(θ):

We can square both sides:

From the Pythagorean Identity:

Substitute:

So:

Since we acquire an untrue statement, no solutions exist.
If needed, refer to the unit circle. Recall that sin(θ) only equals -1 when θ = 3π/2 (on the interval [0, 2π)). At 3π/2, cos(θ) = 0. Since tan(θ) = sin(θ) / cos(θ), tan(θ) is undefined whenever sin(θ) = -1 (or 1).