Determine the differential y = t 3 - 4t 2 + 7t, Mathematics

Assignment Help:

Determine the differential for following.

                                     y = t 3 - 4t 2 + 7t

Solution

Before working any of these we have to first discuss just what we're being asked to determine here. We described two differentials earlier & here we're being asked to determine a differential.

Therefore, which differential are we being asked to determine? In this type of problem we're being asked to determine the differential of the function. In other terms, dy for the first problem, dw for the second problem & df for the third problem.

Following are the solutions.  Not much to act here other than takes a derivative & don't forget to add on the second differential to the derivative.

                                      dy = (3t 2 - 8t + 7 ) dt

There is a good application to differentials. If we think of ?x as the change in x then  Δy = f ( x + Δx ) - f ( x ) is the change in y equivalent to the change in x.  Now, if Δx is small we can suppose that Δy ≈ dy . Let's see an example of this idea.

 


Related Discussions:- Determine the differential y = t 3 - 4t 2 + 7t

Factor expressions involving large powers, Factor Expressions Involving Lar...

Factor Expressions Involving Large Powers, Radicals, and Trig Functions You can use substitution to factor expressions involving large powers, radicals, and trig functions

Which general famously stated ''i shall return'', Which general famously st...

Which general famously stated 'I shall return'? A. Bull Halsey B. George Patton C. Douglas MacArthur D. Omar Bradley

Example of fraction, Example  Reduce 24/36 to its lowest terms. 2...

Example  Reduce 24/36 to its lowest terms. 24/36=12/18=6/9=2/3. In the first step we divide the numerator and the denominator by 2. The fraction gets reduced

Ellipse, How we find locus of the middle points of chord of an ellipse whic...

How we find locus of the middle points of chord of an ellipse which are drawn through the positive end of the minor axes

Find out the total number of pounds of coffee purchased, Megan bought x pou...

Megan bought x pounds of coffee in which cost $3 per pound and 18 pounds of coffee at $2.50 per pound for the company picnic. Find out the total number of pounds of coffee purchase

..compound intrest, tell me about the software of compound intrest?

tell me about the software of compound intrest?

Study market, what toold we need to study market

what toold we need to study market

Explain venn diagrams, Q. Explain Venn diagrams? Ans. Venn diagram...

Q. Explain Venn diagrams? Ans. Venn diagrams, named after the Englishman John Venn, are "area" or "region" diagrams that can be used to help visualize and organize differe

Find the length of the boundary and the area of the shaded, The boundary of...

The boundary of the shaded portion in the adjoining figure consists of our half-circles and two quarter-circles.  Find the length of the boundary and the area of the shaded portion

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd