Zygote Intrafallopian Transfer (ZIFT) is a reproductive technique where a fertilized zygote is implanted into the fallopian tube rather than the uterus. It is particularly beneficial for couples dealing with infertility, notably when the woman has obstructed fallopian tubes.
Steps in ZIFT:
Ovarian Stimulation: Hormones are administered to encourage the ovaries to produce multiple eggs.
Egg Retrieval: A minor surgical procedure is used to collect eggs from the ovaries.
Fertilization: Eggs are then fertilized with sperm in a lab environment.
Zygote Transfer: The fertilized egg, now a zygote, is surgically transferred into the fallopian tube via laparoscopy.
Implantation & Pregnancy: The zygote moves naturally toward the uterus where it implants and potentially results in pregnancy.
The slope of the tangent to the curve \( x = \sin\theta \) and \( y = \cos 2\theta \) at \( \theta = \frac{\pi}{6} \) is ___________.
Solve the following L.P.P. by graphical method:
Maximize:
\[ z = 10x + 25y. \] Subject to: \[ 0 \leq x \leq 3, \quad 0 \leq y \leq 3, \quad x + y \leq 5. \]