Undefined Equation Example Math

90 circ a undefined b 1 c 0 circ d.

Undefined equation example math. And these two were equal beforehand. For the curve defined by the parametric equations x t 2 and y t 3 4t. M y 1 y 2 x 1 x 2 m 4 1 3 3 m 3 0. Using general mathematical considerations we see why those are undefined and indeterminate problems.

For example suppose the denominator of the expression were x 2 times x. We can say that this expression is valid for all points. Undefined means division by zero. Round your answer to the nearest thousandth if necessary.

Notice that for the line in the middle the x values are the same for both points x 1 x 2 1. In that case division by zero would occur when x 0 and when x 2. Inorder for the equation to hold true i need to the other side of the equation. This tells us that at the point x 7 our expression is undefined because we will be getting division by 0.

The expression must be a fraction with a denominator. Solving for x gives us x 7. If no complex numbers if no complex numbers units in radians no complex infinity if no complex infinity in the above two examples 4 and 9 are both outside of the domain over which the square root and natural logarithm functions are defined. You have to see which values of x or something would produce a denominator of zero.

More precisely undefined values occur when an expression is evaluated for input values outside of its domain. So let me multiply the right hand side.