Answered

At Westonci.ca, we connect you with the best answers from a community of experienced and knowledgeable individuals. Discover a wealth of knowledge from professionals across various disciplines on our user-friendly Q&A platform. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

Use differentials to find an approximate value for [tex] \sqrt[3]{65} [/tex]

Sagot :

: Let y = f(x) =  x^1/3  
Then dy = 1/3*x^(−2/3) dx 
 Since f(64) = 4.
We take x = 64 and dx = ∆x = 1  
This gives dy = 1/3*(64)^(−2/3)* (1) =  1/48  
∴65^(1/3) = f(64 + 1) ≈ f(64) + dy = 4 + 1/48 ≈ 4.021 

Answer:

: Let y = f(x) =  x^1/3  

Then dy = 1/3*x^(−2/3) dx 

 Since f(64) = 4.

We take x = 64 and dx = ∆x = 1  

This gives dy = 1/3*(64)^(−2/3)* (1) =  1/48  

∴65^(1/3) = f(64 + 1) ≈ f(64) + dy = 4 + 1/48 ≈ 4.021 

Read more on Brainly.com - https://brainly.com/question/19668#readmore

Step-by-step explanation:

Visit us again for up-to-date and reliable answers. We're always ready to assist you with your informational needs. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.