Correct Answer: B) gases will occupy any available space

Correct Answer: C. Haile Salessie of Ethiopia

Explanation

An absolute monarchy is a form of monarchy where the ruler rules a state and its citizens (i.e., his subjects) without any legal or political interference. ? In this form of government, power is usually passed onto children or family. he monarch can put as much tax as they wish and doesnt need to follow their advisors if they have any. In short, power only under that of God. An example of absolute monarch is Haile Salessie of Ethiopia.

He was an old-style absolute monarch who ruled his nation with a sense of paternalism. He believed he knew what is best for Ethiopia. He believed he knew what is best for Ethiopia. He sought to modernize a feudal system but failed to undertake land reform.

Correct Answer: C. 25%

Correct Answer: A. control unit

Correct Answer: C. whether

Correct Answer: C. a subjective

Correct Answer: A. mosses

Correct Answer: B. many such others

Explanation

The correct phrase is 'many such others'. This is because 'many' is a quantifier that should come before 'such others', which is a determiner phrase.

Explanation

(a) The formula for the first principles method of calculating derivatives is

\(\frac{\mathrm d y}{\mathrm d x} = \lim \limits_{\Delta x \to 0} \frac{f(x + \Delta x) - f(x)}{\Delta x}\)

\(f(x) = (2x + 3)^{2} = 4x^{2} + 12x + 9\)

\(f(x + \Delta x) = 4(x + \Delta x)^{2} + 12(x + \Delta x) + 9\)

= \(4x^{2} + 8x \Delta x + 4 (\Delta x)^{2} + 12x + 12\Delta x + 9\)

\(\lim \limits_{\Delta x \to 0} \frac{(4x^{2} + 8x \Delta x + 4(\Delta x)^{2} + 12x + 12\Delta x + 9) - (4x^{2} + 12x + 9)}{\Delta x}\)

= \(\lim \limits_{\Delta x \to 0} \frac{4(\Delta x)^{2} + (8x + 12)\Delta x}{\Delta x}\)

= \(\lim \limits_{\Delta x \to 0} 4 \Delta x + (8x + 12)\)

\(\frac{\mathrm d y}{\mathrm d x} = 8x + 12\)

(b) \(\int_{1} ^{2} \frac{(x + 1)(x^{2} - 2x + 2)}{x^{2}} \mathrm {d} x\)

= \(\int_{1} ^{2} \frac{x^{3} - 2x^{2} +2x + x^{2} - 2x + 2}{x^{2}} \mathrm {d} x\)

= \(\int_{1} ^{2} \frac{x^{3} - x^{2} + 2}{x^{2}} \mathrm {d} x\)

= \(\int_{1} ^{2} (x - 1 + 2x^{2}) \mathrm {d} x\)

= \([\frac{x^{2}}{2} - x - \frac{2}{x}]_{1} ^{2} \)

= \((\frac{2^{2}}{2} - 2 - \frac{2}{2}) - (\frac{1^{2}}{2} - 1 - \frac{2}{1})\)

= \((2 - 2 - 1) - (\frac{1}{2} - 1 - \frac{2}{1})\)

= \(-1 - (-\frac{5}{2}) = \frac{3}{2}\)

Correct Answer: A. wind