" 5."q=sqrt(2r-r^(r))," find "(dq)/(dr)

Find derivative of given functions w.r.t the respective independent variable . q=sqrt(2r-r^(2)) , find (dq)/(dr)

Given : V=4/3pir^(3) , find (dV)/(dr) and hence (dV)/(dr)]_(r=2) .

(i) If p(x)=3x^(2)-5x+6 , find p(2) . (ii) If q(x)=x^(2)-2sqrt(2)x+1 , find q(2sqrt(2)) . (iii) If r(x)=5x-4x^(2)+3 find r(-1) .

Given : V=4/3 pi r^3 , find (dV)/(dr) and hence [(dV)/(dr)]_(r=2) .

If r=1-costheta," then "r(d theta)/(dr)=

Evaluate int_(r_(1))^(r_(2))(r- eta (q_(0)q)/(r^(2)))dr

The circles having radii r_1a n dr_2 intersect orthogonally. The length of their common chord is (2r_1r_2)/(sqrt(r1^2+r2^2)) (b) (sqrt(r1^2+r2^2))/(2r_1r_2) (r_1r_2)/(sqrt(r1^2+r1^2)) (d) (sqrt(r1^2+r1^2))/(r_1r_2)

[((a)/(b))^(sqrt(p)+sqrt(q))]^(sqrt(p)-sqrt(q))[((a)/(b))^(sqrt(q)+sqrt(r))]^(sqrt(q)-sqrt(r))[((a)/(b))^(sqrt(r)+sqrt(p))]^(sqrt(r)-sqrt(p))

Integrate by using the substitution suggested in bracket. int_(sqrt(2))^(5sqrt(2)) r " dr "

Find the positive integers p, q, r, s satisfying tan (pi/24)=(sqrt(p)-sqrt(q))(sqrt(r)-s)