Thursday
April 17, 2014

Homework Help: calculus

Posted by Becky on Sunday, August 12, 2012 at 12:28pm.

Hi i need help in this. Some of the parts i got the answer but some i don't. please help!

A ship uses $(7v^2) of fuel per hour when travelling at a constant speed of v km/h. Other expenses in operating the ship (i.e. crew and equipment) amount to $345 per hour. The ship makes a journey of 100 km.

1. Give an expression for how long the journey takes in hours.

Answer i got: Time = 100/ v

2. Give an expression for the total cost of the journey.

Answer i got: 700v^2 + 3450/ v

3. Let C(v) be the function representing the cost of the journey when the speed is v km/h. What is the derivative of C(v) with respect to the speed v?

Answer i got: 700v^2 - 3450/ v^2
This answer i differentiate by using quotient rule.

BELOW ARE THE 2 PARTS I CAN'T GET. PLS HELP!!!

4. What is the second derivative of C(v) with respect to the speed v?

Answer: ???

5. Complete the following statement:

To minimize the total cost of the journey the ship should travel at a speed of km/h to 3 significant figures.

Answer: ???

Appreciated!!! thank you!!

Answer this Question

First Name:
School Subject:
Answer:

Related Questions

Calculus - Hi there I am having some troubles trying to do my calculus homework ...
Career Plans - What are some career plans to do with science? I really enjoy ...
MATH(CALCULUS) - f(x)=12x/(sinx+cosx) find f'(-pie) need some help!
Calculus - Hi there i am having some problems trying to do my calculus homework...
business - To start a day care center, what are the basic materials and supplies...
Pre-Calculus - It may look lame but I can't work out how to solve (-9) sqrt(4-x^...
Math - Hey I need some help in 6th grade geometry. I need to find some random ...
Calculus - I need to find the exact solution to: 2sin2x = sqrt(x)on the interval...
Synonyms - i need some synonyms for example is the main word is sleep i need 2 ...
History - So I am doing a power point assignment for my history class on Needle ...

Search
Members