The curve y2 = ux³ + v passes through a point P(2,3) and dy/dx = 4 at P. The values of u and v are
Answers
Answered by
3
Answer:
u = 2, v = - 7
Step-by-step explanation:
at P(2, 3), 3^2 = u * (2)^3 + v, or, 9 = 8u + v (1)
Now, differentiating given equation, 2y*(dy/dx) = 3*x^2*u
or, u = (2*3*4)/(3*2^2) = 2
From (1) we get, 9 = 8*2 + v
or, v = -7
Answered by
3
Given curve is
Since, it is given that curve (1) passes through P(2, 3).
Now,
Differentiating both sides w. r. t. x, we get
Now it is given that,
On substituting the value of u in equation (1), we get
Additional Information :-
Similar questions
Math,
3 months ago
English,
3 months ago
Social Sciences,
3 months ago
English,
5 months ago
Environmental Sciences,
1 year ago
Hindi,
1 year ago
Physics,
1 year ago