# Let S be the portion of the cylinder y = e x in the first octant that projects parallel to

## Question:

Let S be the portion of the cylinder y = e^{x} in the first octant that projects parallel to the x-axis onto the rectangle R_{yz}: 1 ≤ y ≤ 2, 0 ≤ z ≤ 1 in the yz-plane. Let n be the unit vector normal to S that points away from the yz-plane. Find the flux of the field F(x, y, z) = -2i + 2yj + zk across S in the direction of n.

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**Related Book For**

## Thomas Calculus Early Transcendentals

**ISBN:** 9780321884077

13th Edition

**Authors:** Joel R Hass, Christopher E Heil, Maurice D Weir

**Question Details**

Chapter #

**16**Section: Exercises 16.6

Problem: 39

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