Convert & Compress
The Guide of drawing up 3y Online
If you take an interest in Edit and create a 3y, here are the step-by-step guide you need to follow:
- Hit the "Get Form" Button on this page.
- Wait in a petient way for the upload of your 3y.
- You can erase, text, sign or highlight as what you want.
- Click "Download" to conserve the forms.
A Revolutionary Tool to Edit and Create 3y
How to Easily Edit 3y Online
CocoDoc has made it easier for people to Modify their important documents across the online platform. They can easily Edit through their choices. To know the process of editing PDF document or application across the online platform, you need to follow the specified guideline:
- Open the website of CocoDoc on their device's browser.
- Hit "Edit PDF Online" button and Choose the PDF file from the device without even logging in through an account.
- Edit your PDF forms by using this toolbar.
- Once done, they can save the document from the platform.
Once the document is edited using the online platform, the user can easily export the document as what you want. CocoDoc promises friendly environment for implementing the PDF documents.
How to Edit and Download 3y on Windows
Windows users are very common throughout the world. They have met hundreds of applications that have offered them services in modifying PDF documents. However, they have always missed an important feature within these applications. CocoDoc aims at provide Windows users the ultimate experience of editing their documents across their online interface.
The procedure of modifying a PDF document with CocoDoc is easy. You need to follow these steps.
- Select and Install CocoDoc from your Windows Store.
- Open the software to Select the PDF file from your Windows device and proceed toward editing the document.
- Modify the PDF file with the appropriate toolkit offered at CocoDoc.
- Over completion, Hit "Download" to conserve the changes.
A Guide of Editing 3y on Mac
CocoDoc has brought an impressive solution for people who own a Mac. It has allowed them to have their documents edited quickly. Mac users can fill PDF form with the help of the online platform provided by CocoDoc.
For understanding the process of editing document with CocoDoc, you should look across the steps presented as follows:
- Install CocoDoc on you Mac to get started.
- Once the tool is opened, the user can upload their PDF file from the Mac in minutes.
- Drag and Drop the file, or choose file by mouse-clicking "Choose File" button and start editing.
- save the file on your device.
Mac users can export their resulting files in various ways. With CocoDoc, not only can it be downloaded and added to cloud storage, but it can also be shared through email.. They are provided with the opportunity of editting file through various ways without downloading any tool within their device.
A Guide of Editing 3y on G Suite
Google Workplace is a powerful platform that has connected officials of a single workplace in a unique manner. While allowing users to share file across the platform, they are interconnected in covering all major tasks that can be carried out within a physical workplace.
follow the steps to eidt 3y on G Suite
- move toward Google Workspace Marketplace and Install CocoDoc add-on.
- Upload the file and tab on "Open with" in Google Drive.
- Moving forward to edit the document with the CocoDoc present in the PDF editing window.
- When the file is edited at last, download or share it through the platform.
PDF Editor FAQ
What are the most surprising uses of Fermat's Last Theorem?
Find all positive integers [math]x, y, z[/math] which satisfy [math]xy(x^2 + y^2) = 2z^4[/math].Source: a photo of the MIT tunnelsSolution is below. I encourage you to attempt this problem before looking.Expand the equation to get [math]x^3y + xy^3 = 2z^4[/math].Note that [math](x + y)^4 = x^4 + 4x^3y + 6x^2y^2+4xy^3+y^4[/math].Further, [math](x-y)^4 = x^4 - 4x^3y + 6x^2y^2 - 4xy^3 + y^4[/math].Then we have [math](x+y)^4 - (x-y)^4 = 8x^3y + 8xy^3 = 8 \cdot 2z^4[/math].Finally, rearrange to get [math](x+y)^4 = (x-y)^4 + (2z)^4[/math].By Fermat's last theorem, this has no solution for [math]x+y, x-y, 2z[/math] all positive. Since all powers are 4, and 4 is even, they can't be negative either; one of them must be 0. As we are searching for positive solutions, we must have [math]x=y[/math].Plugging this into the original equation yields [math]xy(x^2+y^2) = 2x^4 = 2z^4[/math], so we end up with [math]x=y=z[/math], which is indeed the only solution.
How do you show that no integers x,y satisfy [math] x^4+131 = 3y^4 [/math]?
Suppose to the contrary that there were integers [math]x[/math] and [math]y[/math] satisfying [math]x^4 + 131 = 3y^4[/math].Reducing both sides modulo [math]5[/math] would then yield[math]x^4 + 1 \equiv 3y^4 \bmod 5. \tag*{}[/math]However, the fourth powers modulo [math]5[/math] are [math]0[/math] and [math]1[/math]. By casework, it is easy to verify that this yields a contradiction, because [math]x^4 + 1 \equiv 1, 2 \bmod 5[/math], while the [math]3y^4 \equiv 0, 3 \bmod 5[/math].Therefore, we conclude that there are no integers [math]x[/math] and [math]y[/math] satisfying [math]x^4 + 131 = 3y^4[/math].
A man was 26 years old when his daughter was born. Now he is three times older than his daughter. What is the present age of the daughter?
Let’s assumeFather’s age is XDaughter's age is YNow we need to formulate the equations1st equation is: when daughter was born, her father’s age was 26 soY = X - 262nd equation is: now father’s age is 3 times of daughter's age soX = 3YWe will solve the equationsYou can put the value of X from 2nd equation to 1st equation, soY = 3Y - 262Y = 26Y = 13 (ANSWER)X = 3Y = 3*13 = 39 (ANSWER)HenceFather’s age = X = 39 yearsDaughter’s age = Y = 13 years
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