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MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers lthe question At what points is the given function continuous? [3 Points
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers lthe question At what points is the given function continuous? [3 Points Each] 6:: fix, y1= "1" 3". + 11' A} All (3:, 3:} such that x a: 5! B} Al] (x, y} a {[I, {I} C} All (at, 1;} such that x :2 y D} Al] (x. 3.!) At what points is beginniundinn continuous? 7} [[3, y}: Illx + Ell}.r A] All {any} such that Its: + llZIIJJ.r all] B} All (at, 3'] such that x + y at] C] All (3:, 3'} such that 101 + 103' all D] All (at. 3'} find all the first order partial derivatives for the following function. {5 Points Each} 3) fix. 3'} = Exits + 712 Find all the first order partial derivatives for the following function. 9'} x, 5:}: x2}! + 322 + 222 10} x, 3;, z} = xz-u'r. 4- 3r Find all the second order partial derivatives of the given function. (8 Points) 11) f(x, y) = cos (xy?) MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Write a chain rule formula for the following derivative. (3 Points Each) 12) - for w = f(x, y, z); x = g(r, s, t), y = h(r, s, t), z = k(r, s, t) aw ow ow Ow ow ox dw dy dw az at dx ay dz B) at ax ar ay as az at aw dw ox aw dy aw aw ax dw dy,dw dz at dy at D) at dx at dy at az at 13) " for w = f(x, y, z); x = g(r, s), y = h(t), z = k(r, s, t) at A) OW _ow ow aw dy dz at B) - dy dz at dt at C) dw dw dy ow oz aw dw dz at ay dt az d D) - at
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