MATH 230 Midterm: Math 230 Exam1Samples
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At t = 0, the spaceship was at the origin, r(0) = h0, 0, 0h, and had initial velocity v(0) = h1, 0, 0i. Find the position of the spaceship at t = . Calculate: (this problem refers to the material not covered before midterm 1. ) X y: (12 points) show that the following limit does not exist: 7x2y(x y) lim (x,y) (0,0) x4 + y4. Justify your answer. (this problem refers to the material not covered before midterm 1. ) 3x y + 2z = 0: (6 points) match the following equations with their graphs. 2 (a) z = x2 y2. (b) x2 + z2 1 = 0. (c) x2 + y2 + z. Find the tangential component of acceleration: (8 points) consider the curve r(t) = 3 sin ti + 4tj + 3 cos tk. Find the velocity of the particle as a function of time. Find the tangential and the normal components of acceleration.
