# Logs

posted by Lillian

Approximate e^-0.6 to 3 decimal places.
I am not sure how to approach this without a calculator. I don't think we are allowed to use a calculator but I'm not 100% sure on that either.

1. Steve

well, it is easy enough with a calculator; there's an e^x button.

can you use Taylor Series?
e^x = 1 + x + 1/2 x^2 + 1/6 x^3 + ...
1 + (-.6) = 0.4
1 + (-.6) + (-.6)^2/2 = 0.58
...+(-0.6)^3/3!+(-0.6)^4/4! = 0.5494
...+(-0.6)^5/5!+(-0.6)^6/6! = 0.5488

what other approximation tools are available to you?

2. Lillian

We haven't learned the Taylor Series. But it's okay! Luckily enough we're allowed to use a calculator :) Thank you!

## Similar Questions

2. ### math

x^3 + 4x^2 + 14x + 20 use the root or zero feature of a graphing utility to approximate the zeros of the function accurate to three decimal places. I do not know how to use the root or zero feature on my calculator. If someone could …
3. ### precal/math

use calculator to approximate sec 10 degrees. round to 2 decimal places.
4. ### Math

Evaluate the expression without using a calculator: log4(2)= ____?
5. ### Calculus

In increasing order, rank: 3^ln 2, 2^3, 2^ln 3 *do not use a calculator, and explain your choices Obviously, 2^3=8 So, instinctively, I entered the other values into my calculator just to rank the quantities using decimal places. However, …
6. ### algebra

1. Use a calculator to approximate the square root of 320. Round to three decimal places
7. ### algebra

use a calculator to approximate the square root of 320, round to three decimal places.
8. ### algebra

Solve using qaudractic formula.Then use a calculator to approximate to three decimal places, the solution as rational numbers. X^2-4x+1=0
9. ### Calculus

Use your calculator to approximate the integral using the method indicated, with n=100. Round your answer to four decimal places. sqrt(x+4)^dx between 4 and 0.
10. ### Math

Use a calculator to evaluate the trigonometric function. Round to four decimal places. Make sure that your calculator is in the correct angle mode. 1) csc 2pi/5 1.3213?

More Similar Questions