Let g be the function given by g(x)=x^2*e^(kx) , where k is a constant. for what value of k does g have a critical point at x=2/3?

Find dy/dx using implicit differentiation ln(20+e^xy)=y

In the picture below, line pq is parallel to line rs, and the lines are cut by a transversal, line tu. the transversal is not perpendicular to the parallel lines. note: figure is not drawn to scale. which of the following are congruent angles?

The area of each triangle is 7 square units. the surface area of the triangular prism is