Let co be constant. Verify that U = F(x — cot) and U = G(x + cot) are solutions of Utt = co^2Uxx for any twice-differentiable functions F and G. If F(x) = 1/(1 + x2), sketch time profiles of the wave U(x, t) =(F(x-t)+F(x+t)).

You are making a blueprint of your bedroom and you plan to use a scale factor of 18 . the actual width of your room is 14 feet and the actual length of your room is 16 feet. determine the width and length of your room on the blueprint. on the blueprint, your room will have a width of feet and a length of feet.

Aperpendicular bisector, cd is drawn through point con ab if the coordinates of point a are (-3, 2) and the coordinates of point b are (7,6), the x-intercept of cd is point lies on cd.

Aplot of land has been surveyed for a new housing development with borders ab, bc, dc, and da. the plot of land is a right trapezoid with a height of 60 feet and an opposite leg length of 65 feet