Calculus MCQs Question and Answer in Engineering Maths

A. \[ - \infty \]

B. 0

C. 1

D. \[\infty \]

A. P is true, Q is false, R is false

B. P is false, Q is true, R is true

C. P is false, Q is true, R is false

D. P is true, Q is false, R is true

A. \[\frac{1}{2}\]

B. \[\frac{1}{{\sqrt 2 }}\]

C. 1

D. \[\infty \]

A. \[\frac{1}{2}\left( {\overline {\rm{a}} - \overline {\rm{b}} } \right) \cdot \left( {\overline {\rm{a}} - \overline {\rm{c}} } \right)\]

B. \[\frac{1}{2}\left| {\left( {\overline {\rm{a}} - \overline {\rm{b}} } \right) \times \left( {\overline {\rm{a}} - \overline {\rm{c}} } \right)} \right|\]

C. \[\frac{1}{2}\left| {\overline {\rm{a}} \times \overline {\rm{b}} \times \overline {\rm{c}} } \right|\]

D. \[\frac{1}{2}\left( {\overline {\rm{a}} \times \overline {\rm{b}} } \right) \cdot \overline {\rm{c}} \]

A. 1

B. e

C. \[{{\text{e}}^{\sqrt 2 }}\]

D. \[\infty \]

A. Stoke's theorem

B. Gauss Divergence theorem

C. Green's theorem

D. Kennedy's theorem

A. -2 < X < 2

B. -1 < X < 3

C. -3 < X < 1

D. X < 3

A. \[\int\limits_{{\text{y}} = 0}^{{\text{y}} = 1} {\int\limits_{{\text{x}} = {{\text{y}}^2}}^{{\text{x}} = \sqrt {\text{y}} } {{\text{f}}\left( {{\text{x,}}\,{\text{y}}} \right){\text{dx dy}}} } \]

B. \[\int\limits_{{\text{y}} = {{\text{x}}^2}}^{{\text{y}} = 1} {\int\limits_{{\text{x}} = {{\text{y}}^2}}^{{\text{x}} = 1} {{\text{f}}\left( {{\text{x,}}\,{\text{y}}} \right){\text{dx dy}}} } \]

C. \[\int\limits_{{\text{y}} = 0}^{{\text{y}} = 1} {\int\limits_{{\text{x}} = 0}^{{\text{x}} = 1} {{\text{f}}\left( {{\text{x,}}\,{\text{y}}} \right){\text{dx dy}}} } \]

D. \[\int\limits_{{\text{y}} = 0}^{{\text{y}} = \sqrt {\text{x}} } {\int\limits_{{\text{x}} = 0}^{{\text{x}} = \sqrt {\text{y}} } {{\text{f}}\left( {{\text{x,}}\,{\text{y}}} \right){\text{dx dy}}} } \]

A. 0

B. \[\frac{1}{{15}}\]

C. 1

D. \[\frac{8}{3}\]

A. The function \[\sqrt[{\text{x}}]{{\text{x}}}\],(x > 0), has the global minima at x = e

B. The function \[\sqrt[{\text{x}}]{{\text{x}}}\],(x > 0), has the global maxima at x = e

C. The function x³ has neither global minima nor global maxima

D. The function |x| has the global minima at x = 0