
Given below is the diagram of a human sperm. Read the information below the diagram and fill in the blanks: 
The two structures shown below are formed in the process of spermatogenesis. Study them carefully and answer the questions that follow.
A racing track is built around an elliptical ground whose equation is given by \[ 9x^2 + 16y^2 = 144 \] The width of the track is \(3\) m as shown. Based on the given information answer the following: 
(i) Express \(y\) as a function of \(x\) from the given equation of ellipse.
(ii) Integrate the function obtained in (i) with respect to \(x\).
(iii)(a) Find the area of the region enclosed within the elliptical ground excluding the track using integration.
OR
(iii)(b) Write the coordinates of the points \(P\) and \(Q\) where the outer edge of the track cuts \(x\)-axis and \(y\)-axis in first quadrant and find the area of triangle formed by points \(P,O,Q\).
The female reproductive system provides various functions. The ovaries produce the egg cells known as the ova or oocytes. The oocytes are then taken to the fallopian tube where fertilization by a sperm may occur. The fertilized egg is then transferred to the uterus, where the uterine lining has thickened in regard to the normal hormones of the reproductive cycle. Once in the uterus, the fertilized egg can implant into the thickened uterine lining and continues to develop. If implantation does not take place, the uterine lining is shed as menstrual flow. In addition, the female reproductive system produces female sex hormones that preserve the reproductive cycle.
During menopause, the female reproductive system slowly stops making the female hormones that are required for the reproductive cycle work. At this stage, menstrual cycles can become irregular and finally stops. One year after menstrual cycles pause, the woman is deemed to be menopausal.