Answers created by Napoléon Bonaparte

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A triangular plate with height 6 ft and a base of 8 ft is submerged vertically in water so that the top is 3 ft below the surface. How do you express the hydrostatic force against one side of the plate as an integral and evaluate it?
For what values of r does the function y = $e^{r x}$ $e^(rx)$ satisfy the differential equation 5y'' + 14y' − 3y = 0?
What can you say about the graph of a solution of the equation y' = $\frac{x y^{3}}{36}$ $(xy^3)/36$ when x is close to 0?
How do you identify the vertex for ${(x + 3)}^{2} = - 8 (y - 2)$ $( x + 3) ^ { 2} = - 8( y - 2)$ ?
Question #f0c11
How do you evaluate $\int$ $int$ $\frac{arctan (\sqrt{x})}{\sqrt{x}}$ $arctan(sqrt(x))/sqrt(x)$ dx?
What is the slope of a line x=6?
Which of the following integrals can be best evaluated using integration by parts?
Question #d357e