HW822

Given the parabola $3x^2 + 40y – 4800 = 0$

What is the area bounded by the parabola and the X-axis?

a. 6 200 unit 2
b. 8 300 unit 2
c. 5 600 unit 2
d. 6 400 unit 2

What is the moment of inertia, about the X-axis, of the area bounded by the parabola and the $x$-axis?

a. 15 045 000 unit 4
b. 18 362 000 unit 4
c. 11 100 000 unit 4
d. 21 065 000 unit 4

What is the radius of gyration, about the $x$-axis, of the area bounded by the parabola and the $x$-axis?

a. 57.4 units
b. 63.5 units
c. 47.5 units
d. 75.6 units