# What is the slope of the polar curve #r(theta) = theta + cottheta+thetasin^3theta # at #theta = (3pi)/8#?

The slope,

We are given r:

Substitute the right sides of equations [2] and [3] into equation [1]:

By signing up, you agree to our Terms of Service and Privacy Policy

To find the slope of the polar curve (r(\theta) = \theta + \cot(\theta) + \theta \sin^3(\theta)) at (\theta = \frac{3\pi}{8}), you need to differentiate the polar equation with respect to (\theta), then evaluate the resulting expression at (\theta = \frac{3\pi}{8}).

By signing up, you agree to our Terms of Service and Privacy Policy

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- What is the equation of the tangent line of #r=4cos(-theta+(5pi)/6) +sin(theta)# at #theta=(7pi)/12#?
- What is the Cartesian form of #( 15 , ( 7pi)/3 ) #?
- What is the slope of the tangent line of #r=thetacos(theta/4-(5pi)/3)# at #theta=(-5pi)/3#?
- How do you find the area inner loop of #r=4-6sintheta#?
- What is the distance between the following polar coordinates?: # (1,(-5pi)/12), (3,(pi)/8) #

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7