Let h be the hemisphere x² + y² + z² = 19 , z ≥ 0 , and suppose f is a continuous function with f(1, 3, 3) = 7 , f(1, -3, 3) = 11 , f(-1, 3, 3) = 13 , and f(-1, -3, 3) = 14 . By dividing h into four patches, estimate the value below. (Round your answer to the nearest whole number.)
a. 10
b. 12
c. 14
d. 16
