The phrase "with the task to" is correct and can be used in written English.
It is typically used when you are assigning someone with a specific task to complete. For example: "I have asked Joe to help with the project, with the task to create a progress report by the end of the week."
Even all that was a picnic, however, compared with the task to come.
A mobile agent with the task to classify its sensor pattern has to cope with ambiguous information.
By the end of the book, we can feel his growing desperation to be done with the task, to escape back to real life.
The BOOS group has established a working group with the task to develop an efficient system for exchange of real-time data.
A low-cost intelligent system designed in a single chip with the task to carry out the complete functionality for the greenhouse climate control was developed.
In his new year's interview, Mr. Milosevic insisted that many private broadcasters and publishers "are under the full financial and political control of some Western governments," with the "task to destabilize the country".
The participants also received instruction forms with all the tasks to read along with the observer.
The lack of data on this subject bothers the gynecologist with the difficult task to inform the patient about her individual risk to develop constipation after hysterectomy.
He also threatened to expose Amnesty if it refused to provide staff to help with the task, according to the Wall Street Journal.
LIPA has agreed to work with the task force to develop a restoration plan, which will be subject to public review before it is implemented.
Sustained task versus rest activations were examined using ANOVA with the factor Task to determine whether the IFS was sensitive to proactive inhibition demands.
