Suppose $\frac { d y } { d x } = \frac { y ^ { 2 } } { x }$

question 4

Multiple Choice

Suppose $\frac { d y } { d x } = \frac { y ^ { 2 } } { x }$ , $y ( 1 ) = 2$ . Use Euler's method with step size $h = 1$ to approximate $y ( 3 )$ .

• A)24
• B)8
• C)16
• D)4
• E)25
• F)14
• G)12
• H)6

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Definitions:

Y-intercept

The point where a line or curve meets the y-axis of a graph.

Graph Equation

The graphical representation of an equation on a coordinate plane, showing the relationship between variables.

Graph Equation

A mathematical representation of relationships between variables, often plotted on a coordiante system.

Absolute Value

The distance of a number from zero on the number line, without considering direction; expressed as \(|x|\) for a number \(x\).