Logs

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. 👍 0
  2. 👎 1
  3. 👁 1,196
  1. 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?

    1. 👍 0
    2. 👎 0
  2. We haven't learned the Taylor Series. But it's okay! Luckily enough we're allowed to use a calculator :) Thank you!

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Applied Calculus

    Use differentials to approximate the quantity (give answer to 4 decimal places) 4th root of 256.6.

  2. fifth grade math

    How many decimal places are in the product of a number with decimal places to the hundredths multiplied by a number with decimal places to the tenths? A) 2 B) 3 C)4 D)5 Is it C-4 ? If not, please explain how i can solve .. thank

  3. Calc

    Use upper and lower sums to approximate the area of the region using the given number of subintervals (of equal width). (Round your answers to three decimal places.) y = 5/x

  4. Calculus

    Use the Midpoint Rule with the given value of n to approximate the integral. Round the answer to four decimal places. int_2^10 2 sqrt(x^2+5)dx text(, ) n=4

  1. calculus

    Use Newton's method to approximate the indicated root of the equation correct to six decimal places. The positive root of 3sinx = x^2

  2. Calculus

    Find the length of the curve correct to four decimal places. (Use a calculator to approximate the integral.) R(t)=(t^2,t^3,t^4) 0

  3. Pre Calc

    Use a graphing utility to graph the function and approximate (to two decimal places) any relative minima or maxima. (If an answer does not exist, enter DNE.) f(x) = −x2 + 9x − 8

  4. Maths

    Find the first four terms in the binomial expansion of (1+x)^(1/5) and state the range of values of x for which this expansion is valid.Hence approximate (31)^(1/5) correct to four decimal places.

  1. Precalculus

    The rectangular box shown in the figure has dimensions 10" × 7" × 3" (a = 10, b = 7, c = 3). Approximate the angle θ formed by a diagonal of the base and a diagonal of the 7" × 3" side. (Round your answer to two decimal

  2. calculus

    3) The table below gives selected values for the function f(x). Use a trapezoidal estimation, with 6 trapezoids to approximate the value of int f(x) dx from 1 to 2 . Give 3 decimal places for your answer. x 1 1.1 1.2 1.5 1.7 1.9

  3. Trigonometry

    Use a graph of the function to approximate the solution of the equation on the interval [−2π, 2π]. (List the solutions in increasing order from left to right on the x-axis. Round your answers to three decimal places.) cot x =

  4. Calculus

    Approximate the sum of the series correct to four decimal places. n=1 to infinity (-1)^n/4^n*n!

You can view more similar questions or ask a new question.