Q101
Open question is equal to
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Engineering Maths · all questionsCalculus
Calculus
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Q102
Open question equals
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Q103
Open questionFor the spherical surface x2 + y2 + z2 = 1, the unit outward normal vector at the point is given by
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Q104
Open questionDivergence of the vector field at (1, -1, 1) is
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Q105
Open question is
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Q106
Open questionAs x varies from -1 to +3, which one of the following describes the behaviour of the function f(x) = x3 - 3x2 + 1?
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Q107
Open questionThe following plot shows a function y which varies linearly with x. The value of the integral is
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Q108
Open questionGiven:
and
The X-Y plot will be
and
The X-Y plot will be
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Q109
Open questionThe infinite series corresponds to
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Q110
Open questionIf then is
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Q111
Open questionBy a change of variable x(u, v) = uv, y(u, v) = v/u is double integral, the integrand f(x, y) changes to f(uv, v/u) (u, v). Then, (u, v) is
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Q112
Open questionWhich one of the following describes the relationship among the three vectors, and
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Q113
Open questionLet the function
{\text{f}}\left( \theta \right) = \left| {\begin{array}{*{20}{c}} {\sin \theta }&{\cos \theta }&{\tan \theta } \\ {\sin \left( {\frac{\pi }{6}} \right)}&{\cos \left( {\frac{\pi }{6}} \right)}&{\tan \left( {\frac{\pi }{6}} \right)} \\ {\sin \left( {\frac{\pi }{3}} \right)}&{\cos \left( {\frac{\pi }{3}} \right)}&{\tan \left( {\frac{\pi }{3}} \right)} \end{array}} \right|
where and denote the derivative of f with respect to . Which of the following statements is/are TRUE?
I. There exists such that
II. There exists such that
{\text{f}}\left( \theta \right) = \left| {\begin{array}{*{20}{c}} {\sin \theta }&{\cos \theta }&{\tan \theta } \\ {\sin \left( {\frac{\pi }{6}} \right)}&{\cos \left( {\frac{\pi }{6}} \right)}&{\tan \left( {\frac{\pi }{6}} \right)} \\ {\sin \left( {\frac{\pi }{3}} \right)}&{\cos \left( {\frac{\pi }{3}} \right)}&{\tan \left( {\frac{\pi }{3}} \right)} \end{array}} \right|
where and denote the derivative of f with respect to . Which of the following statements is/are TRUE?
I. There exists such that
II. There exists such that
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Q114
Open questionThe value of the integral
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Q115
Open questionFor the scalar field magnitude of the gradient at the point (1, 3) is
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Q116
Open questionA series expansion for the function sin θ is
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Q117
Open questionDirectional derivative of = 2xz - y2 at the point (1, 3, 2) becomes maximum in the direction of:
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Q118
Open questionThe area enclosed between the straight line y = x and the parabola y = x2 in the x - y plane is
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Q119
Open questionConsider function f(x) = (x2 - 4)2 where x is a real number. Then the function has
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Q120
Open questionThe local minima of function f(x) = x2 - x4 in the range -0.8 ≤ x ≤ 0.8 is located at
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