QUESTION 4 for Gradescope: Consider the region shown below (…

QUESTION 4 for Gradescope: Consider the region shown below (a triangle with a quarter circle).  If the density is  δ ( x ) = 3 + x 2  grams/cm 2 {“version”:”1.1″,”math”:”\delta(x)=3+x^2 \text{ grams/cm}^2″}set up an integral to find the total mass of the region. (The x- and y-axes in the picture are measured in centimeters, and the variable x in the density function is the x-coordinate of a point on the shaded region shown.) Show all supporting work. In particular, include a sketch of a representative slice labeled with dimensions needed to calculate the mass of the slice, and show all intermediate steps. You do NOT need to evaluate the integral.

Beam ABCD is supported by two cables at points E and F and h…

Beam ABCD is supported by two cables at points E and F and has a smooth support at D. The beam is subjected to a distributed load, a point load and a couple moment at point C, as shown in the figure. Determine the reactions at each support. Note that a Free Body Diagram (FBD) is required to receive full points.