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The variables y and t satisfy the differential equation Ti1 = (y + 2)sin2t. Also, when t = 0,y = 0. Find the exact value ofy when t = 714. You must use calculus and give the results of any integration needed to solve this problem (e) The diagram shows how the curve y = ex intersects with the curve y = kx0.5 + 1 when k = 4 and k = 5. Find the area of the space between y = ex and y = kx0-5 + 1, when the x-coordinates of the points of intersection are 0 and 2.

(e) The variables y and t satisfy the differential equation Ti1 = (y + 2)sin2t. Also, when t = 0,y = 0. Find the exact value ofy when t = 714. You must use calculus and give the results of any integration needed to solve this problem (e) The diagram shows how the curve y […]