Explanation

(a) 1 Peter 5:5 — 11

(i) Peter taught that the younger Christians should be subject to the elders.

(ii) They should clothe themselves with humility toward one another because God opposes the proud but gives grace to the humble.

(iii) They should humble themselves under the mighty hand of God.

(iv) That, He might exalt them in due time.

(v) Therefore, they should cast all their anxieties on Him because He cares for them,

(vi) Christians should be conscious of the way they live as believers.

(vii) They should be watchful because the devil their enemy is going about like angry lion looking for who to destroy.

(viii) Christians in humility should resist the devil at all cost with full faith in Christ.

(ix) According to Peter, suffering and temptations are part of Christian heritage.

(x) If Christians are able to endure through humility, they would gain the eternal glory in Christ Jesus.

(xi) God, in turn, will restore, establish and strengthen them.

(b) Three qualities of a humble person:

(i) A humble person is law-abiding.

(ii) He is polite both in speech and conduct.

(iii) He is patient.

(iv) He does not display his wealth.

(v) He is ready to serve in any capacity.

(vi) He carries out orders to the best of his ability in the interest of others.

(vii) He gives credit to God for his success.

Correct Answer: C. utility is subjectively determined

Explanation

The comparison of interpersonal utility is impossible because the utility or the satisfaction derived from consuming a product is subject to what that individual has stated. It is impossible to say that Mr. A and Mr. derived the same level of satisfaction after consuming a bottle of water. This is because their level of satisfaction differs individually and only implicit values are used in comparison

Correct Answer: C. conflict

Correct Answer: B. water, temperature and soil

Correct Answer: C. Simeon

Explanation

(a) Title: Proportional circles of volumes of Rail 12.5cm Passenger Traffic Generated by five Nigerian cities 1973. Radius of Circles: Let 5m be represented by 1cm.

(i) Enugu is represented by 3/5 cm = 0.6cm radius

(ii) Maiduguri is represented by 25 cm = 0.5cm

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(iii) Port Harcourt is represented by 1.5 cm = 0.3cm

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(iv) Minna is represented 1 cm = 0.2cm

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(v) Ibadan is represented by 5 cm = 1 cm

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TITLE: Proportional circles of volume of Rail Passenger Traffic Generated by 5 Nigerian cities in 1973.

(b) Advantages of proportional symbols:

(i) Symbols can provide quantitative as well as locational information.

(ii) Symbols may be divided proportionally to give further information.

(iii) Give vivid visual impression of distribution on pattern.

(iv)A wide variety of symbols may be used to illustrate data.

Correct Answer: B. 66.0g

Explanation

\(x^{3} + y^{3} - 2xy = 11\)

Differentiating implicitly,

\(3x^{2} + 3y^{2} \frac{\mathrm d y}{\mathrm d x} - 2y - 2x \frac{\mathrm d y}{\mathrm d x} = 0\)

\((3y^{2} - 2x) \frac{\mathrm d y}{\mathrm d x} = 2y - 3x^{2}\)

\(\frac{\mathrm d y}{\mathrm d x} = \frac{2y - 3x^{2}}{3y^{2} - 2x}\)

At (2, -1) , Gradient = \(\frac{2(-1) - 3(2^{2})}{3(-1)^{2} - 2(2)}\)

= \(\frac{-2 - 12}{3 - 4}\)

= \(\frac{-14}{-1} = 14\)

Correct Answer: C. 358ms\(^{-1}\)

Correct Answer: C. attack on the Portuguese in the 1640s

Explanation

Attack on the Portugese in the 1649s is the correct answer as this attack was carried as a revenge on the Portuguese who had sought to control their strategic position of the Straits of Hormuz at the entrance of the Persian Gulf.