Letf\left(x,y,z\right)=x^3y^2+y^3z^2+\sin\left(x+y\right)\cos\left(x+z\right)f ( x , y , z ) = x 3 y 2 + y 3 z 2 + sin ⁡ ( x + y ) cos ⁡ ( x + z ). determine the line integral of f\left(x,y,z\right)f ( x , y , z ) with respect to arc length over the curve r\left(t\right)=\left(\cos\left(2\pi t\right),\sin\left(2\pi t\right),t\right)r ( t ) = ( cos ⁡ ( 2 π t ) , sin ⁡ ( 2 π t ) , t ) where t ranges from 0 to 1.

$20.5

Step-by-step explanation:

Let x  denotes the amount for total bill.

We are given that ,  Sierra left $4.50 as a tip for a waiter.

This was 18% of the bill before the tip.

We can write 18% = 0.18. [To convert percent into decimal we divide it by 100.]

Then, the tip amount = 0.18 x Total bill

So, the total bill amount = $25

Hence, her total bill before the tip= Total bill amount - Tip amount

= $25- $4.50=$20.5

Thus ,her total bill before the tip= $20.5