Question

f(x) = x / ln x (a) e ≈ 2.7. Use the differential in x=e to...

f(x) = x / ln x

(a) e ≈ 2.7. Use the differential in x=e to explain whether an approximation of f(3) can be calculated, if possible, calculate to the second decimal place.

(b) e^2 ≈ 7.4. Use the differential in x=e^2 to explain whether an approximation of f(8) can be calculated, if possible, calculate to the secound decimal place.

This question was written in other language, and I translated on my own, so there might be some mistakes. Thanks.

Math   Calculus   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Thank you!

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
1. a. if f(t)=1/3t e^t, then what is ln(f'(2))? b. f(x) = (25)/(1+x^2), then what is...
1. a. if f(t)=1/3t e^t, then what is ln(f'(2))? b. f(x) = (25)/(1+x^2), then what is f'(1/2)? c. If f(x) = ln(1+sin(x)) then what is f'(0)? Having trouble with these 3 from my hw. Thanks so much! Anything is helpful!
f(x)=ln(1+2x), a=4,n=3,3.7<=x<=4.3 (b) Use Taylor's Inequality to estimate the accuracy of the approximation f  Tn(x) when x...
f(x)=ln(1+2x), a=4,n=3,3.7<=x<=4.3 (b) Use Taylor's Inequality to estimate the accuracy of the approximation f  Tn(x) when x lies in the given interval. (Round the answer to four decimal places.)
Notice that ln(20) is slightly less than 3? Use a linear approximation to estimate f(3)=e^3 using...
Notice that ln(20) is slightly less than 3? Use a linear approximation to estimate f(3)=e^3 using the fact that e^ln(20) = 20
1. Find the differential of f(x,y)=\sqrt{x + e^{4y}}f(x,y)= x+e^4y and use it to find the approximate...
1. Find the differential of f(x,y)=\sqrt{x + e^{4y}}f(x,y)= x+e^4y and use it to find the approximate change in the function f(x,y)f(x,y) as (x,y)(x,y) changes from (3,0)(3,0) to (2.6,0.1)(2.6,0.1).
Consider the function f(x) = ln (x) when x>0 1) Find df (x) / dx and...
Consider the function f(x) = ln (x) when x>0 1) Find df (x) / dx and d^2 f(x) / dx^2 2) Is F(x) convex or concave? Why? 3) Graph 4) Calculate the second order Taylor approximation to f(x) around x=e
A)For the function below, write the differential. f(x) = ln(1 + x2) dy =( )dx B)calculate...
A)For the function below, write the differential. f(x) = ln(1 + x2) dy =( )dx B)calculate dy for the given values of x and dx. x = 2 and dx = 0.2 dy =   C)how accurate is dy in approximating Δy (i.e., what is their difference) to the nearest thousandth?
-find the differential and linear approximation of f(x,y) = sqrt(x^2+y^3) at the point (1,2) -use tge...
-find the differential and linear approximation of f(x,y) = sqrt(x^2+y^3) at the point (1,2) -use tge differential to estimate f(1.04,1.98)
Problem 1. (1 point) Find the critical point of the function f(x,y)=−(6x+y2+ln(|x+y|))f(x,y)=−(6x+y2+ln(|x+y|)). c=? Use the Second...
Problem 1. (1 point) Find the critical point of the function f(x,y)=−(6x+y2+ln(|x+y|))f(x,y)=−(6x+y2+ln(|x+y|)). c=? Use the Second Derivative Test to determine whether it is A. a local minimum B. a local maximum C. test fails D. a saddle point
Consider the following function. f(x) = ln(1 + 2x),    a = 1,    n = 3,    0.8 ≤ x ≤...
Consider the following function. f(x) = ln(1 + 2x),    a = 1,    n = 3,    0.8 ≤ x ≤ 1.2 (a) Approximate f by a Taylor polynomial with degree n at the number a. T3(x) = (b) Use Taylor's Inequality to estimate the accuracy of the approximation f(x) ≈ Tn(x) when x lies in the given interval. (Round your answer to six decimal places.) |R3(x)| ≤ (c) Check your result in part (b) by graphing |Rn(x)|.
1). Find the derivative of the function f(x) = ln(x9 + 3) − 4ex/2 − x...
1). Find the derivative of the function f(x) = ln(x9 + 3) − 4ex/2 − x . 2). Find the equation for the tangent line to the curve y = f(x) at the given x-value. f(x) = x ln(x − 5)  at  x = 6 . 3). Use implicit differentiation to find dy/dx. y2 − yex = 19 . 4). The United States population (in millions) is predicted to be P(t) = 317e0.01t, where t is the number of years after 2013.†...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT