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June 2021

What do you call differential equations having the form $$ y' + py = qy^n $$where $n = 0$, and $p$ and $q$ are functions of the independent variable?

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What do you call differential equations having the form $$ y' + py = qy^n $$, where $n$ is an integer greater than 1?

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It is a measure of the resistance of a certain fluid to gradual deformation by shear or tensile stresses.

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Given a small tube of diameter $d$ placed straight up into a liquid with unit weight $\gamma$, surface tension $\sigma$, and contact angle $\theta$ with the walls of the tube, find the capillary rise $h$ of the liquid in the tube.

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Which of the following states that the force at a point on a system due to a deflection $\delta$ is equal to the partial derivative of the total strain energy of the system with respect to that deflection $\delta$?

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This theorem states that the volume of a solid of revolution is equal to the area of the generating region times the distance travelled by the centroid of that region.

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It is a point formed by intersecting the internal bisector of one angle of a triangle to the external bisectors of the other two angles.

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It is a point formed by intersecting the three altitudes of a triangle.

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It is a point formed by intersecting the three medians of a triangle.

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It is a point formed by intersecting three angle bisectors of a triangle.

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