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Let y(x) be a function with derivative y'(x)=x^2-2 and y(0) =7. What is the value of y at x = 3?

Integrate to get y(x) = (1/3)x^3 -2x+c where c is a constant. Substitute in our data 7 =y(0) = (1/3)(0)^3 -2*(0) +c = c. So y(x) =(1/3)x^3 -2x+7 and therefore y(3) = (1/3)(3)^3 -2*3 +7 = 9-6+7 = 10

DB
Answered by Dawn B. Maths tutor
3932 Views

What are the strongest intermolecular forces in CH4, NH3 and H2O? From this deduce which has the highest boiling point, giving reasoning.

The cental atom in each of these molecules is C, N and O respectivly, of these both N and O are members of the family of three atoms that can form hydrogen bond (also incluidng F), when directly bonded to...

DC
Answered by David C. Chemistry tutor
73184 Views

On what grounds do conservatives defend authority?

Authority, as it is described in this sense, refers to the concept of 'power cloaked in legitimacy', or the right to exercise power over others. Power may be described as being able to make someone do som...

NC
6757 Views

How do I know if a word is masculine or feminine?

We can often find out the gender of nouns in French by looking at the spelling. The end of the word can give us a clue. for example, words ending in -age, -ier, -oir and -eur and mostly masculine, such as...

MA
Answered by Mark A. French tutor
3912 Views

What is the best way to prepare for the UKCAT

Do lots of practise questions, and run through the full test papers that they give, and time yourself. Exam technique is important, make sure you keep an eye on the time, and make sure you answer as many ...

SH
Answered by Samuel H. UCAT tutor
1859 Views

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