MATH 1100Y Midterm: MATH1101Y-T2-1pg
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Mathematics 1101y calculus i: functions and calculus of one variable. [16 = 4 4 each] (there is also a bonus question on the bottom of page 4. : z. V + 13 dv: z w sec2(w) dw, z 1, z sec4(y) dy, do any two (2) of parts g k. 0 (cid:0)x2 + 1(cid:1)2 dx: z 1/2. 0 cos(2 z) dz: the volume of a solid obtained by revolving a region about the y-axis is given by. Tan2(y) dy when computed using the disk method. Sketch this solid and nd its volume: find the average value of f (x) = cos(x) + sin(x) on the interval [0, ], compute z 2. 0 x2 dx using the left- or the right-hand rule: a corner of a cube with sides 2 cm long is cut o along a plane passing through the three neighbouring vertices. [picture at right: sketch the region enclosed by y = x2 and x = y2 and.
