anonymous 5 years ago Could someone please answer this question The gradient of a curve is (6x^2)+(12x^1/2). The curve passes through the point (4,10). Find the equation of the curve. thanks :)

1. anonymous

2. anonymous

im not sure but i think it is because whenever i mention gradient people go on about slopes :p

3. anonymous

hello miss, i couldn't understand the question. can you write it in the same way as in your assignment

4. anonymous

$6x ^{2}+12\sqrt{x}$

5. anonymous

q6) The gradient of a curve is (6x^2)+(12x^1/2). The curve passes through the point (4,10). Find the equation of the curve. (5marks)

6. anonymous

$6x^2+12x^0.5$

7. anonymous

in which standard you are miss???

8. anonymous

what do you mean? what standard?

9. anonymous

which class??

10. anonymous

AS=Alevel why?!

11. anonymous

just to know how deep i have to go answering this question

12. anonymous

oh, so you know how to do it :) yay!

13. anonymous

i know how to do such question but something is odd in this question

14. anonymous

what?

15. anonymous

nothing!! okay, tell me what you mean by slope of a curve???

16. anonymous

17. anonymous

and that that gradient passes through that equation and i need to use the points to make and equation this is what i assume

18. anonymous

i think from the gradient/slope a curve, one mean the slope of the tangent line at any point of the curve

19. anonymous

but the points are 4,10

20. anonymous

hmm, how you find the slope of the curve???

21. anonymous

are you getting the hint????

22. anonymous

i think you now know, how to solve this question. if you still face problem then post it here and i'll solve it for you.

23. anonymous

what hint? i still dont get it

24. anonymous

okay, tell me how you find the slope of the curve

25. anonymous

y2-y1/x2-x1

26. anonymous

that's the way to find the slope of a straight line :P

27. anonymous

i asked for curve (in general)

28. anonymous

huh? soz dunno what ur talkin about the equation?

29. anonymous

do you know differentiation and integration???

30. anonymous

not sure :S i get confused with them both

31. anonymous

wait, differentiation finds the gradient, doesnt it

32. anonymous

if differentiation of the curve equation finds the gradient (as you said) then will the integration of the gradient equation gives the curve equation???

33. anonymous

this is really confusing :(