﻿ An angle between the curves x2=3y and x2 + y2 = 4 is | Limits and Derivatives

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Limits and Derivatives

Multiple Choice Questions

111.

• $\frac{1}{\mathrm{k}}$

• $\frac{2}{\mathrm{k}}$

112.

• $\frac{1}{2}$

• 1

• 2

113.${\mathrm{tan}}^{-1}\left(\frac{5}{\sqrt{3}}\right)$ ${\mathrm{tan}}^{-1}\left(\sqrt{\frac{5}{3}}\right)$ ${\mathrm{tan}}^{-1}\left(\frac{2}{\sqrt{3}}\right)$ $\frac{\mathrm{\pi }}{3}$

A.

${\mathrm{tan}}^{-1}\left(\frac{5}{\sqrt{3}}\right)$

114.

115.

• 2

• 1

• e

• e2

116.

117.

Multiple Choice Questions

118.

• $\left(\frac{2}{9}\right){\left(\frac{2}{3}\right)}^{1}{3}}$

• ${\left(\frac{2}{3}\right)}^{4}{3}}$

• ${\left(\frac{2}{9}\right)}^{4}{3}}$

• $\left(\frac{2}{3}\right){\left(\frac{2}{9}\right)}^{1}{3}}$

119.

• $\frac{1}{\mathrm{e}}$

• 2e

• $\frac{1}{2\mathrm{e}}$

• e

120.

• does not exist

• is equal to 1

• is equal to $\sqrt{\mathrm{e}}$

• is equal to 0