HW_07 - Assignment Previewer Page 1 of 7 HW 07 (1291626)...

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HW 07 (1291626) Due: Thu Jun 17 2010 11:59 PM CDT Question 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Description 15.5 The chain rule 15.6 Directional derivatives and the gradient vector SCalc6 15.5.001. [1315822] 1. Question Details Use the Chain Rule to find dz / dt . (Enter your answer only in terms of t .) z = x 2 + y 2 + xy , x = sin( t ), y = e t dz / dt = SCalc6 15.5.002. [1281599] 2. Question Details Use the Chain Rule to find dz / dt . (Enter your answer only in terms of t .) z = cos ( x + 2 y ), x = 8 t 2 , y = 6 / t dz / dt = SCalc6 15.5.005. [1280699] 3. Question Details Use the Chain Rule to find dw / dt . (Enter your answer only in terms of t .) w = xe y /z , x = t 2 , y = 7 - t , z = 9 + 2 t dw / dt = SCalc6 15.5.008. [1279976] 4. Question Details Page 1 of 7 Assignment Previewer 6/10/2010 http://www.webassign.net/v4cgimccrayp@iit/assignments/preview.tpl
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Use the Chain Rule to find z / s and z / t . (Enter your answer only in terms of s and t .) z = arcsin( x - y ), x = s 2 + t 2 , y = 3 - 4 st z / s = z / t = SCalc6 15.5.011. [1281690] 5. Question Details Use the Chain Rule to find z / s and z / t . (Enter your answer only in terms of s and t .) z = e r cos ( θ ), r = st , θ = z / s = z / t = SCalc6 15.5.015. [832540] 6. Question Details Suppose f is a differentiable function of x and y , and g ( u, v ) = f ( e u + sin( v ), e u + cos( v )). Use the table of values to calculate g u ( 0 , 0 ) and g v ( 0 , 0 ). g
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HW_07 - Assignment Previewer Page 1 of 7 HW 07 (1291626)...

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