Find the Slope of the Curve at the Indicated Point $\mathrm { ft } / \mathrm { s }$

question 183

Multiple Choice

Find the slope of the curve at the indicated point.
-The velocity of water $\mathrm { ft } / \mathrm { s }$ at the point of discharge is given by $\mathrm { v } = 14.33 \sqrt { \mathrm { P } }$ , where $\mathrm { P }$ is the pressure lb/in 2 of the water at the point of discharge. Find the rate of change of the velocity with respect to pressure if the pressure is $30.00 \mathrm { lb } / \mathrm { in } ^ { 2 }$ .

• A) \(0.2388 \mathrm { ft } / \mathrm { s }\) per \(\mathrm { lb } / \mathrm { in } ^ { 2 }\)
• B) \(2.62 \mathrm { ft } / \mathrm { s }\) per \(\mathrm { lb } / \mathrm { in } ^ { 2 }\)
• C) \(1.3081 \mathrm { ft } / \mathrm { s }\) per \(\mathrm { lb } / \mathrm { in } ^ { 2 }\)
• D) \(39.24 \mathrm { ft } / \mathrm { s }\) per \(\mathrm { lb } / \mathrm { in } ^ { 2 }\)

---

Definitions:

Character Position

Refers to the location of a character in a string, often based on an index starting from zero.

String

A sequence of characters, numbers, or symbols used in programming to represent text.

Predefined Method

Functions or procedures provided by a programming language or library that can be used directly without the need for the user to define them.

Parameter Type

Refers to the datatype of a parameter accepted by a function or method in programming.