Evaluate the following integrals:
Question: Evaluate the following integrals: $\int \frac{x+\sqrt{x+1}}{x+2} d x$ Solution: The given equation can be written as $\Rightarrow \int \frac{x}{x+2} d x+\int \frac{\sqrt{x+1}}{x+2} d x$ First integration be $l 1$ and second be $l 2$. $\Rightarrow$ For l1 Add and subtract 2 from the numerator $\Rightarrow \int \frac{x+2-2}{x+2}$ $\Rightarrow \int \frac{x+2}{x+2} \cdot d x-\int \frac{2}{x+2} \cdot d x$ $\Rightarrow \int d x-2 \int \frac{d x}{x+2}$ $\Rightarrow x-2 \ln |x+2|+c 1$ $\theref...
Read More →Evaluate the following integrals:
Question: Evaluate the following integrals: $\int \frac{x+\sqrt{x+1}}{x+2} d x$ Solution: The given equation can be written as $\Rightarrow \int \frac{x}{x+2} d x+\int \frac{\sqrt{x+1}}{x+2} d x$ First integration be $l 1$ and second be $l 2$. $\Rightarrow$ For l1 Add and subtract 2 from the numerator $\Rightarrow \int \frac{x+2-2}{x+2}$ $\Rightarrow \int \frac{x+2}{x+2} \cdot d x-\int \frac{2}{x+2} \cdot d x$ $\Rightarrow \int d x-2 \int \frac{d x}{x+2}$ $\Rightarrow x-2 \ln |x+2|+c 1$ $\theref...
Read More →Thymosin is responsible for
Question: Thymosin is responsible for a. Raising the blood sugar level b. Raising the blood calcium level c. Differentiation of T lymphocytes d. The decrease in blood RBC Solution: Option (c)Differentiation of T lymphocytes is the answer....
Read More →The steroid responsible for the balance
Question: The steroid responsible for the balance of water and electrolytes in our body is a. Insulin b. Melatonin c. Testosterone d. Aldosterone Solution: Option (d)Aldosteroneis the answer....
Read More →Mary is about to face an interview.
Question: Mary is about to face an interview. But during the first five minutes before the interview, she experiences sweating, increased rate of heart beat, respiration etc. Which of the following hormones are responsible for her restlessness? a. Estrogen and progesterone b. Oxytocin and vasopressin c. Adrenaline and noradrenaline d. Insulin and glucagon Solution: Option (c)Adrenaline and noradrenalineis the answer....
Read More →Which of the following hormones is not secreted
Question: Which of the following hormones is not secreted by the anterior pit. a. Growth hormone b. Follicle-stimulating hormone c. Oxytocin d. Adrenocorticotrophic hormone Solution: Option (c) Oxytocinis the answer....
Read More →Select the right match of the endocrine gland
Question: Select the right match of the endocrine gland and their hormone among the options given below Options: a. A-iv, B-ii, C-iii, D-i b. A-ii, B-iv, C-i, D-iii c. A-iv, B-ii, C-i, D-iii d. A-ii, B-iv, C-iii, D-i Solution: Option (d)A-ii, B-iv, C-iii, D-i is the answer....
Read More →Explain the structure of the middle and internal
Question: Explain the structure of the middle and internal ear with the help of a diagram. Solution: The middle ear contains three ossicles which are arranged in a chain fashion called the malleus, incus and stapes The malleus is attached to the tympanic membrane and the stapes is attached to the oval window of the cochlea. A Eustachian tube connects the middle ear cavity with the pharynx and helps in equalizing the pressures on either side of the eardrum. The inner ear is also called labyrinth ...
Read More →Name the parts of human forebrain indicating
Question: Name the parts of human forebrain indicating their respective functions. Solution: Cerebrum It is further divided into 4 lobes: a. Frontal lobe associated with parts of speech, reasoning, planning, problem-solving and movement. b. Parietal lobe Helps in movement, perception of stimuli and orientation. c. Occipital lobe Visual processing d. Temporal lobe memory and speech. Thalamus- It is a small structure located right above the brain stem. It helps in the sensory information from the ...
Read More →Explain the process of the transport and release
Question: Explain the process of the transport and release of a neurotransmitter with the help of a labelled diagram showing a complete neuron, axon terminal and synapse. Solution: Any nerve impulse is passed from one neuron to another neuron via the axon. Transport and release of a neurotransmitter occur within a synapse. At a chemical synapse, the membranes of the pre- and post-synaptic neurons are separated by a fluid-filled space called the synaptic cleft. At these synapses, chemicals called...
Read More →What is the function ascribed
Question: What is the function ascribed to Eustachian tube? Solution: It helps in equalizing the pressure on either side of the eardrum. It is the tube connects the middle ear cavity with the pharynx....
Read More →If someone receives a blow on the back of the neck,
Question: If someone receives a blow on the back of the neck, what would be the effect on the persons CNS? Solution: If someone receives a blow on the back of the neck, it may lead to the dislocation of cervical vertebrae (located right below the skull)....
Read More →Evaluate the following integrals:
Question: Evaluate the following integrals: $\int \tan ^{3} 2 x \sec 2 x d x$ Solution: $\tan ^{3} 2 x . \sec 2 x=\tan ^{2} 2 x . \tan 2 x . \sec 2 x . d x$ $\tan ^{2} 2 x=\sec ^{2} 2 x-1$ $\Rightarrow \tan ^{2} 2 x \cdot \tan 2 x \cdot \sec 2 x \cdot d x=\left(\sec ^{2} 2 x-1\right) \cdot \tan 2 x \cdot \sec 2 x \cdot d x$ $\Rightarrow \sec ^{2} 2 x \tan 2 x \cdot \sec 2 x d x-\tan 2 x \cdot \sec 2 x d x$ $\therefore \int \sec ^{2} 2 x \cdot \tan 2 x \cdot \sec 2 x d x-\int \tan 2 x \cdot \sec ...
Read More →Neural system and computers share certain
Question: Neural system and computers share certain common features. Comment in five lines. (Hint: CPU, input-output devices). Solution: 1. In computers, the input devices are mouse and keyboard while in the neural system, the sensory neurons act as input devices which take inputs from the environment. 2. The message from input devices is sent to the brain in a neural system and the CPU in computers. 3. The brain processes the information from the input devices whereas the CPU processes the info...
Read More →What is the difference between electrical
Question: What is the difference between electrical transmission and chemical transmission? Solution: Electrical transmission occurs at the electrical synapse and this will be the faster transmission. Electric current transfers directly from one neuron are in very close proximity. In chemical transmission, the transmission will be slower and occurs at a chemical synapse. The neurotransmitters are involved in the transmission of impulses at the synapses....
Read More →Complete the statement by choosing appropriate
Question: Complete the statement by choosing appropriate match among the following Solution: a iii b iv c ii d i...
Read More →While travelling at a higher altitude,
Question: While travelling at a higher altitude, a person complains of dizziness and vomiting sensation. Which part of the inner ear is disturbed during the journey? Solution: Vestibular apparatus (saccule, utricle and semicircular canals)...
Read More →Which sensory organ is involved in vertigo
Question: Which sensory organ is involved in vertigo (sensation of oneself or objects spinning around)? Solution: The vestibular system of the inner ear is associated with vertigo....
Read More →Where is the hunger centre located
Question: Where is the hunger centre located in the human brain? Solution: The hunger centre is located in hypothalamus in the human brain....
Read More →What do grey and white matter
Question: What do grey and white matter in the brain represent? Solution: Grey matter The cerebral cortex is referred to as Grey matter due to its greyish appearance White matter Fibres of the tract are covered with a myelin sheath....
Read More →Evaluate the following integrals:
Question: Evaluate the following integrals: $\int \frac{\sec ^{2} \sqrt{x}}{\sqrt{x}} d x$ Solution: Assume $\sqrt{x}=\mathrm{t}$ $d(\sqrt{x})=d t$ $\Rightarrow \frac{1}{2 \sqrt{x}} \mathrm{dx}=\mathrm{dt}$ $\Rightarrow \frac{1}{\sqrt{x}} \mathrm{dx}=2 \mathrm{dt}$ Substituting $t$ and $d t$ $\Rightarrow 2 \int \sec ^{2} t d t$ $=2 \tan t+c$ But $\sqrt{x}=t$ $\Rightarrow 2 \tan (\sqrt{x})+c$...
Read More →Our reaction like aggressive behaviour,
Question: Our reaction like aggressive behaviour, use of abusive words, restlessness etc. are regulated by the brain, name the parts involved Solution: The limbic system (the inner part of the cerebral hemisphere and a group of associated deep structures) and hypothalamus (a small region located at the base of the brain near the pituitary gland)...
Read More →Name the structures involved
Question: Name the structures involved in the protection of the brain. Solution: The human brain is protected by the skull. Inside the skull, there are cranial meninges that cover the brain. The cranial meninges are made up of three layers, namely Dura mater (outer layer), Arachnoid (middle layer) and Pia mater (inner layer which is in contact with the brain). Dura mater is the thick, tough, fibrous membrane. Arachnoid is a membrane with a spider-like structure. The parameter is a very thin, del...
Read More →Arrange the following in the order of reception and transmission
Question: Arrange the following in the order of reception and transmission of a sound wave from the eardrum: Cochlear nerve, external auditory canal, eardrum, stapes, incus, malleus, and cochlea. Solution: The order of reception and transmission of the sound wave from the eardrum is Ear Drum Malleus Incus Stapes Cochlear Cochlear nerve...
Read More →Which cells of the retina enable
Question: Which cells of the retina enable us to see coloured objects around us? Solution: The cone cells present inside the retina enable us to see coloured objects around us....
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