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The part labelled IV is the contractile vacuole of the paramecium(See diagram). The contractile vacuole's function is to remove excess water from a cell through a process called osmoregulation. This organelle helps maintain the cell's water balance and protects the cell from rupturing.

The part of a paramecium used for reproduction is the micronucleus. While paramecium has two nuclei, the larger macronucleus controls daily functions, while the smaller micronucleus is responsible for storing genetic material and is involved in sexual reproduction. The part labelled III is the micronucleus.

Rhizopus, also known as bread mold, reproduces sexually when two compatible hyphae fuse. This process produces diploid zygospores, which germinate into new mycelia. Steps in sexual reproduction Compatible hyphae come into contact Small outgrowths called progametangia form The progametangia mature and the common wall disappears The contents of the progametangia mix, fusing (+) and (-) strains Diploid nuclei form The zygospore enlarges and secretes a five-layered structure The zygospore enters a resting period The zygospore germinates, producing germ sporangiophores or promycelium The promycelium develops a germ sporangium at the tip, releasing spores Each spore germinates to form a new mycelium.

Oviparous animals are those that reproduce by laying eggs. They include animals like birds, most reptiles, most amphibians, most fishes. Viviparous animals are the animals that give birth directly to their kind. These individuals grow up and live. Oviparous animals are animals that do not give birth to their kind. Instead, they lay eggs that are either fertilised or unfertilised. Ovoviviparous means producing eggs that hatch inside the mother's body, rather than being laid outside. It's a reproductive strategy that's seen in some fishes and reptiles.

Amplexus defines the mating position of frogs and toads, in which the male clasps the female about the back. Amplexus is a type of mating behavior exhibited by some externally fertilizing species in which a male grasps a female with his front legs as part of the mating process, and at the same time or with some time delay, he fertilizes the eggs as they are released from the female's body. "Mating" refers to the general act of sexual reproduction between two organisms, while "amplexus" is a specific mating posture used by frogs where the male clasps onto the female's back, aligning their cloacae to facilitate external fertilization; essentially, amplexus is a type of mating behavior unique to frogs, focused on positioning for egg fertilization, rather than the broader term of mating itself.

Charles Darwin was one of the first to scientifically document that roots show positive gravitropism and stems show negative gravitropism. That is, roots grow in the direction of gravitational pull (i.e., downward) and stems grow in the opposite direction (i.e., upwards).

Abscisic acid (ABA) is found in the roots and leaves of plants, including seedlings. ABA is a plant hormone that helps plants respond to environmental stress and developmental processes. Ascorbic acid, also known as vitamin C, is found in all cell compartments of plants, including the cell wall, chloroplasts, and cytosol. Ethylene is found in all parts of a plant, including seedlings. Auxin alters the plant wall plasticity making it easier for the plant to grow upwards. Auxin is a plant hormone found in the roots of seedlings. Auxin is produced in the tips of the roots and shoots, and it can diffuse to other parts of the plant.

The nucleus of a cell contains DNA, which is the organelle responsible for heredity. The nucleus is the cell's command center, controlling the cell's growth, division, and other functions.

The part labelled I is the cell wall(See digram above).

The part labelled I is the cell wall(See digram above).

The cumulative frequency 5\(\leq\) x \(\leq\) 12 = 10 + 12 + 10 + 8 + 6 + 8 + 10 + 8 = 72

\(\begin{pmatrix}3 & -2 \\ -7 & 5 \end{pmatrix} + 2 \begin{pmatrix}-2 & 4 \\ 3 & -1 \end{pmatrix}\) \(2 \begin{pmatrix}-2 & 4 \\ 3 & -1 \end{pmatrix} = \begin{pmatrix}2 \cdot -2 & 2 \cdot 4 \\ 2 \cdot 3 & 2 \cdot -1\end{pmatrix} = \begin{pmatrix}-4 & 8 \\ 6 & -2\end{pmatrix}\) \(\begin{pmatrix}3 & -2 \\ -7 & 5 \end{pmatrix} + \begin{pmatrix}-4 & 8 \\ 6 & -2\end{pmatrix} = \begin{pmatrix}3 + (-4) & -2 + 8 \\ -7 + 6 & 5 + (-2)\end{pmatrix}\) \(= \begin{pmatrix}-1 & 6 \\ -1 & 3\end{pmatrix}\) Thus, the final result is: \(\begin{pmatrix}-1 & 6 \\ -1 & 3\end{pmatrix}\)

I = \(\begin{pmatrix}1 & 0 \\0 & 1 \end{pmatrix}\) Then, 3x - 2I becomes 3p - 2I (since we are finding f(p)) 3\(\begin{pmatrix}2 & 1 \\-1 & 0 \end{pmatrix}\) - 2\(\begin{pmatrix}1 & 0 \\ 0 & 1 \end{pmatrix}\) = \(\begin{pmatrix}6 & 3 \\-3 & 0 \end{pmatrix}\) - \(\begin{pmatrix}2 & 0 \\ 0 & 2 \end{pmatrix}\) = \(\begin{pmatrix}4 & 3 \\-3 & -2 \end{pmatrix}\)

The mode (m) = 4. No of students who scored 4 and above = 12 + 10 + 6 + 4 + 1 = 33. \(\therefore\) (n, m) = (33, 4)

The question will be answered in \(^6C_4 = \frac{6!}{(6-4)!4!}\) =\(\frac{6!}{2!4!}\) =\(\frac{6\times5\times4!}{2\times1\times4!}\) = 15ways.