# What is the arc length of the polar curve #f(theta) = 5sintheta-4theta # over #theta in [pi/8, pi/3] #?

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Therefore, the arc length for the given function over the given interval would be:

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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 area enclosed by #r=sin(5theta-(13pi)/12) # between #theta in [pi/8,(pi)/4]#?
- What is the slope of the polar curve #r(theta) = theta^2 - sec(theta)+cos(theta)*sin^3(theta) # at #theta = (2pi)/3#?
- What is the distance between the following polar coordinates?: # (1,(-5pi)/12), (8,(5pi)/8) #
- What is the Cartesian form of #(-15,(-pi)/4))#?
- What is the arclength of #r=-cos(theta/2-(3pi)/8)/theta # on #theta in [(3pi)/4,(7pi)/4]#?

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