Let ⇒⇒⇒⇒⇒Dividing numerator and denominator by cos4x.⇒Let tan2x = t ⇒ 2tanxsec2x dx = dtIf x=0,t=0If ⇒=⇒⇒

Q28 of 45 Page 1

Evaluate:

Let

⇒

Dividing numerator and denominator by cos⁴x.

⇒

Let tan²x = t ⇒ 2tanxsec²x dx = dt

If x=0,t=0

⇒

Differentiate with respect to when x ≠ 0.

Find the particular solution of the differential equationgiven thatwhen x = 1.

Show that lines and intersect. Also find their point of intersection.

Of all the closed right circular cylindrical cans of volume 128 π cm3, find the dimensions of the can which has minimum surface area.