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.

For the polynomial, list each real zero(roots). Determine wh…

For the polynomial, list each real zero(roots). Determine whether the graph crosses or touches the x-axis at each x -interceptf(x) = x4 – 9×2 List zeros as ORDERED PAIRS: [zeros] List zeros as ORDERED PAIRS where the graph touches and turns (bounces): [bounce] List zeros as ORDERED PAIRS where the graph crosses (cuts through): [cuts]  

Using the function template below, type a working recursive…

Using the function template below, type a working recursive function.  Make sure your function conforms to the instructions given in the comments for the function. [Note: You must include the function header in you answer, you don’t need to copy the comment section in your response]