Homework Help: Calculus Please Help

Posted by Catherine on Thursday, February 17, 2011 at 10:25pm.

Hello I'm reposting this question because right now it's at the bottom and I don't think I will get an answer.

Assume that the follwing function gives the position of an object at time t. Find the velocity indicated by setting up and evaluating a limt algebraically.
s(t) = √t, Find v(1).

I know that the answer is 1/2 because
s(t) = √t = t(1/2)
s '(t) = (1/2)t^(-1/2) = 1/(2√t)
s '(1) = 1/(2√1) = 1/2

But I can't get the answer by evaluating the limit algebraically.. can someone please show me the procedure?

Calculus Please Help - Reiny, Thursday, February 17, 2011 at 11:03pm
let s(t) = √t
then
derivative = Limit (√(1+h) - √1)/h as h --> 0
= Lim (√(1+h) - √1)/h * (√(1+h) + 1)/(√(1+h) + 1)
= lim (1+h - 1)/(h(√(1+h) + 1))
= lim h/(h(√(1+h) + 1))
= lim 1/(√(1+h) + 1) , as h --> (in each line above)
= 1/(√1 + 1) = 1/2

Answer this Question

Related Questions

science - Okay, Ms. Sue. I got this and I don't think that it is right. this...
bobpursley, drwls. ms. sue Writeacher - When a second post is made to a question...
Social Studies -- Merisa - I've reposted your question because it was posted...
Math - Hello, I need to know if I have the right answers to these questions. 2x-...
English - 1. Imagine it is lunch time now. 2. Imagine it is a lunch time now. (...
Calculus - MathMate Please help - I asked this question on last thursday and u ...
English - Task2.Identify and choose the one word or phrase that should be ...
GEOMETRY PARALLELOGRAM QUESTION PLEASE HELP! - If ON=8x-8, LM=7x+4, NM=x-5, and ...
chem - Can someone please help me balance this equation? CH3OH + O2 ===> ...
Math - Hello, I have two more rational exponent question that I wanted to verify...

For Further Reading

First Name:
School Subject:
Answer: