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Consumer purchases up to the point where marginal utility is equal to the price (MU=P). So long as marginal utility is greater than price, he keeps on purchasing. As he makes purchases MU falls and at a particular quantity of the good MU becomes equal to price. Consumer purchases up to this point. 

Bearded man promised to give back the man his property.

In human beings, equal genetic contribution of male and female parents is ensured in the progeny through inheritance of equal number of chromosomes from both parents. There are 23 pairs of chromosomes. All human chromosomes are not paired. Out of theses 23 pairs, the first 22 pairs are known as autosomes and the remaining one pair is known as sex chromosomes represented as X and Y. Females have a perfect pair of two X-sex chromosomes and males have a mismatched pair of one X and one Y sex chromosome. During the course of reproduction, as fertilization process takes place, the male gamete (haploid) fuses with the female gamete (haploid), resulting in the formation of the diploid zygote. The zygote in the progeny receives an equal contribution of genetic material from the parents. Out of 23 pairs of chromosomes in progeny, male parent contributes 22 autosomes and one X or Y chromosomes and female parent contributes 22 autosomes and one X chromosome.

‘भूदान आंदोलन’ विनोभा भावे ने शुरू किया किया था ।

बाबर, हुमायूँ, शेर शाह सूरी, इस्लाम शाह सूरी, हुमायूँ, अकबर-ए-आज़म, जहांगीर, शाह-जहाँ-ए-आज़म, अलामगीर, बहादुर शाह, जहांदार शाह, फर्रुख्शियार, रफी उल-दर्जत, शाहजहां द्वितीय, मुहम्मद शाह, अहमद शाह बहादुर, आलमगीर द्वितीय, शाहजहां तृतीय, शाह आलम द्वितीय, अकबर शाह द्वितीय, बहादुर शाह द्वितीय

चौथ नामक कर मराठो द्वारा लिया जाता था।

हड़प्पा सिंधु सभ्यता का स्थान अब पाकिस्तान में है ।

धनराज पिल्लै हॉकी से सम्बंधित है ।

भांखड़ा नांगल बाँध सतलज नदी पर है।

‘गाँधी’ फ़िल्म में गाँधी की भूमिका बेन किंग्सले ने निभाई ।

पृथ्वी का एक मात्र प्राकृतिक उपग्रह  चन्द्रमा है

The different types of disabilities are: 

(a) Cognitive disabilities: It refers to lower than average intellectual functioning. A person who has cognitive disability has trouble performing mental tasks which an average person would be able to easily. 

(b) Intellectual disabilities: It is characterized by below average intelligence or mental ability and a lack of skills necessary for day to day living. People with intellectual disabilities can and do learn new skills, but they learn very slowly. 

(c) Physical disabilities: It is a limitation of a person’s physical functioning, mobility, dexterity or stamina. The physical disabilities include impairments which limit other facts of daily living, such as respiratory disorders, blindness, sleep disorders etc.

The correct answer is B. The same volume of liquid

A size is actually the volume of liquid. It is based on the container and not on the content of the liquid. Therefore it can be either water or coke, which have different amounts of calories, but they still have the same size in a same container.

Different types of disabilities

• vision Impairment.
• deaf or hard of hearing.
• mental health conditions.
• intellectual disability.
• acquired brain injury.
• autism spectrum disorder.
• physical disability.

Difference between abduction and adduction are:

The correct answer is one or two hours.

It is estimated that it could take up to one or two hours for your liver to get rid of the alcohol in one standard drink. But, if you drink quite a lot such that the alcohol in your body can be detected by a BAC test, then it will take nearly half a day or 12 hours for the liver to flush out the alcohol.

(d) Original, advisory and appellate powers

(b) Majority Party in the Lok Sabha

बालमनोविज्ञान मनोविज्ञान की वह शाखा है, जिसमें गर्भावस्था से लेकर प्रौढ़ावस्था तक के मनुष्य के मानसिक विकास का अध्ययन किया जाता है। जहाँ सामान्य मनोविज्ञान प्रौढ़ व्यक्तियों की मानसिक क्रियाओं का वर्णन करता है तथा उनको वैज्ञानिक ढंग से समझने की चेष्टा करता है, वहीं बालमनोविज्ञान बालकों की मानसिक क्रियाओं का वर्णन करता और उन्हें समझाने का प्रयत्न करता है।

Extreme cohesiveness may not be in a group's interest. This phenomenon is called group think.

Gliding movements occur as relatively flat bone surfaces move past each other. They produce very little rotation or angular movement of the bones. The joints of the carpal and tarsal bones are examples of joints that produce gliding movements.

House of the People and Legislative Council

The members of the Vidhan Sabha in Indian States are directly elected

Movement of one surface over another without angular or rotatory movement, as well. This type of movement occurs in the temporomandibular joint after opening when the condyles and disks move forward, as in protrusion of the jaw.

A core accuracy at the heart of a claim or narrative which also contains dubious or fictitious elements. There may be a kernel of truth in the story of how George Washington confessed to his father that he chopped down the cherry tree.

Exercising is good for you, but sometimes you can injure yourself when you play sports or exercise. Accidents, poor training practices, or improper gear can cause them. Some people get hurt because they are not in shape. Not warming up or stretching enough can also lead to injuries.

Sportsmanship is a vital part of the Competitive Sports Program at OSU. Clearly contests are important to participants, but the importance should not become so overriding that players lose sight of appropriate behavior. The playing site is not a venue for physical or verbal abuse for players or spectators. In order to encourage proper conduct before, during and after the scheduled contest, officials, supervisors and professional staff will make decisions on whether to warn, penalize or eject players, teams and/or fans for unsportsmanlike conduct.

A movement produced as one flat or nearly flat bone surface slips over another similar surface. The bones are merely displaced relative to each other. The movements are not angular or rotatory. Gliding movements occur at the intercarpal, intertarsal, and sternoclavicular joints.

Biomechanics is the study of the structure and function of biological systems by means of the methods of mechanics (the branch of physics involving analysis of the actions of forces).

Correct posture means the balancing of body in accurate and proper manner while sitting ,standing, reading,writing or during any other action of body.
Explanation of sitting and standing posture.
Standing-Heals together, toes apart, body erect. Knee straight, chin inside, chest forward, belly backward, body weight equally on both feet. Sitting-Hips as far back as possible on the chair, legs rest on the floor, thigh horizontal head, spinal column, shoulder and hips should be in straight line and erect.

If you want to know the career after study in production design then the first thing is the field in which the production design you have completed.

There are many field of production design such as

Mechanical, electronics, electrical, animation, gaming, civil engineering.

The career options are as per your subject of study.

i. Improves performance in sports: principles of biomechanics tell us about right techniques, effective and result oriented posture to get more efficient results by applying minimum muscular force which in turn improves performance in sports.  

ii. Improvement in technique: with the help of biomechanical principles the physical education teacher corrects the mistakes. This helps in improving the game and performance of the player.  

iii. Development of improved sports equipment: the principles of biomechanics are used to modify the sports equipments. For example, tee shirts, studs, spikes, swimming costumes, hockey sticks, different size footballs and low weight helmets for protection.

Exercise builds and strengthens muscles, which can protect the bones from injury, and support and protect joints affected by arthritis. Strong muscles also give stability and improve balance and coordination. Exercise also improves blood supply to the muscles and increases their capacity to use oxygen.

The benefits of exercise on the skeletal system include increased bone density, improved joint mobility and increased synovial fluid circulation.

Principles of management are not as rigid as Principles of pure sciences.

Principles of management deal with human behaviour and cannot be tested in laboratories like the principles of pure science.

PMT: The PMT function calculates the periodic payment for an annuity assuming equal payments and a constant rate of interest. The syntax of PMT function is as follows: =PMT (rate, nper, pv, [fv], [type]) where

Rate is the interest rate per period, 

Nper is the number of periods,

Pv is the present value or the amount the future payments are worth presently, future value or cash balance that after the last payment is made (a future value of zero when we omit this optional argument) Type is the value 0 for payments made at the end of the period or the value 

1 for payments made at the beginning of the period. 

The PMT function is often used to calculate the payment for mortgage loans that have a fixed rate of interest.

A management information system (MIS) is a computer system consisting of hardware and software that serves as the backbone of an organization's operations. An MIS gathers data from multiple online systems, analyzes the information, and reports data to aid in management decision-making.

A management information system (MIS) is a computer system consisting of hardware and software that serves as the backbone of an organization’s operations. An MIS gathers data from multiple online systems, analyzes the information, and reports data to aid in management decision-making.

1. To control the creation and growth of records
2. To reduce operating costs
3. To improve efficiency and productivity
4. To assimilate new records management technologies
5. To ensure regulatory compliance
6. To minimize litigation risks
7. To safeguard vital information
8. To support better management decision making
9. To preserve the corporate memory
10. To foster professionalism in running the business

Motivation is the process that initiates, guides, and maintains goal-oriented behaviors. It is what causes you to act, whether it is getting a glass of water to reduce thirst or reading a book to gain knowledge. Motivation involves the biological, emotional, social, and cognitive forces that activate behavior.

(a) In this situation, we will find the volume.

(b) In this situation, we will find the surface area.

(c) In this situation, we will find the volume.

Given:

Distance = 600 m = 600/1000 km = 0.6 km 

Time = 5 minutes = 5/60 hours = 1/12 hours 

Formula used:

Speed = Distance/Time 

Calculation:

∴ Speed = 0.6 km/(1/12) hours 

⇒ 7.2 km/h

ABCD is parallelogram

∴ AB||CD and AD||BC of ∠A = 90°

then, ∠D = 180° - 90° = 90°

and ∠D = ∠B and ∠A = ∠C

(opposite angle of parallelogram are equal and sum of adjacent angle of parallelogram = 180°)

∴ ∠A = ∠B = ∠C = ∠D = 90°

It is a rectangle.

\(\frac{d}{dx}\) 5^3x-1 = 5^3x-1 log 5 \(\frac{d}{dx}\)(3x-1)

(∵ \(\frac{d}{dx}\) a^x = a^x log a and by chain rule)

⇒ \(\frac{d}{dx}\) 5^3x-1 = 3 x 5^3x-1 log 5

Correct option:

(D) 1/e

A = \(\begin{bmatrix} 1 &0 & 0 \\ 0 & 1 & 0 \\ 1 &0 &0 \end{bmatrix}\)

A² = \(\begin{bmatrix} 1 &0 & 0 \\ 0 & 1 & 0 \\ 1 &0 &0 \end{bmatrix}\)\(\begin{bmatrix} 1 &0 & 0 \\ 0 & 1 & 0 \\ 1 &0 &0 \end{bmatrix}\) = \(\begin{bmatrix} 1 &0 & 0 \\ 0 & 1 & 0 \\ 1 &0 &0 \end{bmatrix}\) = A

B = \(\begin{bmatrix} 0 &0 & 1 \\ 0 & 1 & 0 \\ 1 &0 &0 \end{bmatrix}\)

Then B² = \(\begin{bmatrix} 0 &0 & 1 \\ 0 & 1 & 0 \\ 1 &0 &0 \end{bmatrix}\)\(\begin{bmatrix} 0 &0 & 1 \\ 0 & 1 & 0 \\ 1 &0 &0 \end{bmatrix}\) = \(\begin{bmatrix} 1 &0 & 0 \\ 0 & 1 & 0 \\ 0 &0 &1 \end{bmatrix}\) = I

Now, A⁵B⁷ + A⁵B⁸ = (A²)² A(B²)³B + (A²)² A(B²)⁴

= A² A I³B + A² A(I)⁴ (∵ A² = A and B² = I)a

= A² B + A² I (∵ I³ = I⁴ = I, A² = A)

= AB + A (∵ A² I = A² = A)

Now, AB = \(\begin{bmatrix} 1 &0 & 0 \\ 0 & 1 & 0 \\ 1 &0 &0 \end{bmatrix}\)\(\begin{bmatrix} 0 &0 & 1 \\ 0 & 1 & 0 \\ 1 &0 &0 \end{bmatrix}\) = \(\begin{bmatrix} 0 &0 & 1 \\ 0 & 1 & 0 \\ 0 &0 &1 \end{bmatrix}\)

And AB + A = \(\begin{bmatrix} 0 &0 & 1 \\ 0 & 1 & 0 \\ 0 &0 &1 \end{bmatrix}\) + \(\begin{bmatrix} 1 &0 & 0 \\ 0 & 1 & 0 \\ 1 &0 &0 \end{bmatrix}\) = \(\begin{bmatrix} 1 &0 &1 \\ 0 & 1 & 0 \\ 1 &0 & 1 \end{bmatrix}\)

Therefore, A⁵B⁷ + A⁵B⁸ = AB + A = \(\begin{bmatrix} 1 &0 &1 \\ 0 & 1 & 0 \\ 1 &0 & 1 \end{bmatrix}\)