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.