Correct Answer: B. The marginal utility is a always zero whenever the total utility reaches the maximum

Explanation

Marginal utility is the slope of the total utility curse. At maximum point slope of total utility is equal to zero. Therefore the marginal utility is also zero when total utility reaches its maximum level. Total utility is the sum of utility which consumer gains from consumption of certain goods and services.

Explanation

(a)What did Jesus teach about Himself as the True Vine?: John 15:1-11:

(i) Jesus said, "I am the true Vine and environment. my Father is the Vinedresser".

(ii) "Every branch that is fruitless, He takes away!

(iii) "Every branch that is fruitful, He prunes - to make it more fruitful".

(iv) "You are already clean by the word spoken to you".

(v) Abide in me and I in you".

(vi) "The branch cannot bear fruit by itself, unless it abides in the vine.

(vii) So you cannot bear fruit unless you abide in me.

(viii) "If a man does not abide in me, he is cast forth as a branch and withers".

(ix) "If you abide me and my words abide in you, ask whatever you will and it shall be done for you".

(x) By this my father is glorified if you bear much fruit and prove to be my disciples.

(xi) "As the Father has loved me so have I loved you, rem in my love".

(xii) "These things I have spoken to you that my joy may be in you and that your joy may be full".

b) Three ways in which the teaching is significant to Christians:

(i) The Vine is the symbol of the relations) between Christ and believers

(ii) The Christian is called to be fruitful.

(iii) Unfruitfulness displeases the Lo

(iv) Close fellowship with the Lord makes fruitfulness possible.

(v) God's word enables us to abide in Him

(vi) God wants our Christian life to be fruitful and joyful always.

Correct Answer: C. 30m

Correct Answer: D. maximize profits

Correct Answer: A. bright

Explanation

luminous; giving off light; bright or shining.

bright; giving out or reflecting much light; shining.

Correct Answer: C. Want

Correct Answer: D. cell membrane

Correct Answer: A. nitrogen fixation

Correct Answer: C. - 3

Explanation

Let the given points be:

P(-3, -14) = (x\(_1\), y\(_1\))

Q(t, -5) = (x\(_2\), y\(_2\))

PQ = 9 units (given)

Using the distance formula,

d = √ [ \((x_2 - x_1)^2 + (y_2 - y_1)^2\)]

PQ = √ [ \((t - (-3))^2 + (-5 + 14)^2\)]

\(\implies\)√[ \((t + 3)^2 + 81\)] = 9

Squaring on both sides,

⇒ (t + 3)\(^2\) + 81 = 81

⇒ (t + 3)\(^2\) = 0

⇒ t + 3 = 0

∴ t = -3

Correct Answer: A. in the long-run period

Explanation

The law of variable proportions states that as the quantity of one factor is increased, keeping the other factors fixed, the marginal product of that factor will eventually decline. It is applicable in the long-run period because only there are factors of production fixed.