Q. 58 - Precalculus Enhanced with Graphing Utilities

Question

In Problems $57-64$, use a graphing utility to solve each system of equations. Express the solution(s) rounded to two decimal places.

$\left\{\begin{array}{l}y=x^{\frac{3}{2}}\\ y=e^{-x}\end{array}\right.$

Step-by-Step Solution

Answer

The graph for the equations $\left\{\begin{array}{l}y=x^{\frac{3}{2}}\\ y=e^{-x}\end{array}\right.$is,

From the graph, the solution for the given system is, $\left(0.65,0.52\right)$.

Step 1. Given information

$\left\{\begin{array}{l}y=x^{\frac{3}{2}}\\ y=e^{-x}\end{array}\right.$

The graph for the given system of equations is,

Step 2 Now observe the graph.

The graph for the two equations are intersecting at a point $\left(0.65,0.52\right)$.

So, the given system has only one solution.