MATH 112 Midterm: MATH 112 NJIT Math 112 Exam I Fall 2017
15 Feb 2019
Department
Course
Professor
Document Summary
Extra space: use the backs of each sheet for extra space. I pledge by my honor that i have abided by the. 100: find the volume generated by rotating about x-axis the region in the x,y- plane bounded (signature) below and above, respectively, by the curves x= 2 y and y x= , and sketch the region. (15 pts. ) 2, x and x = (15 pts. ) y. 4: let r in the x,y-plane be in the first quadrant and bounded by y. Find the volume generated by revolving the region r about the line. 2: find the following: (10 pts. each) (a) the arclength of the curve y cosh , 0 x. 1 x (b) the area of the surface generated by rotating the above curve around the x-axis. 3: a spring with a natural length of 15 cm exerts a force of 45 newtons when stretched to a length of 20 cm.
