MATH 2B Final: MATH 2B Final Exam 2

• School: UC-Irvine
• Department: Mathematics
• Course: MATH 2B
• Professor: All

Document Summary

Cross out incorrect scratch-work: no calculators or other forms of assistance are allowed. 5 f (x) 3 4 6 9 13 18. 0 f (x) dx: estimate r 4. 1 f (x) dx using a left-hand riemann sum with 3 equal subintervals: evaluate the following derivative at the point x = 3 d dx (cid:18)z x. 2 f (t) dt(cid:19: suppose f (x) gives the height of a rocket, measured in yards, x minutes after its launch. 0 f (x) dx and what does this quantity represent: (7 points) evaluate z x. 1 + x4 dx: (7 points) evaluate z x2 e2x dx, (7 points) evaluate r sin3(4t) dt, (7 points) evaluate the following integral by making an appropriate trigonometric substitution. Z dx x2 x2 9: (8 points) determine whether the following integral is convergent or divergent. 0 dz z2 + 3z + 2: (10 points) find the area of the region bounded by the curves y = 3.