Chapter 3, Problem 1RE

To determine

To Calculate: The value of the function at a given point upto three decimal places.

Answer to Problem 1RE

  $f\left(1.5\right)={0.3}^{\left(1.5\right)}=0.164$

Explanation of Solution

Given information:

The given function is $f\left(x\right)={0.3}^x$ at $x=1.5$ .

Concept and Formula Used:

We use the mathematical calculator to find the value. Also, for estimation upto three decimal places we see the fourth decimal place, if it is 5 or more than 5, we add 1 to the third decimal place and every place after that becomes 0 but if it is less than 5, then all places become 0 upto third place.

Calculation:

The given function is $f\left(x\right)={0.3}^x$ at $x=1.5$ .

So, we get

  $f\left(1.5\right)={0.3}^{\left(1.5\right)}=0.164316767=0.164$ as the fourth decimal place is 3< 5, so we make all the digits after third decimal place 0.

Conclusion:

  $f\left(1.5\right)={0.3}^{\left(1.5\right)}=0.164$