Section 14.4: Problem 1 Previous Problem Problem List Next Problem (1 point) Suppose w = In (6x2 + 4y2 + 722) , x - 5 cos(t) , y - 5 sin(t) , and z = 7vt. Compute dw /dt in two different ways: Find Ow/Ox, Ow/dy, and Ow/Oz as functions of t. aw/Ox = aw /dy = aw /Oz = Now use your answers above to find dw/dt using the chain rule. dw /dt = Write w as a function of t. W = Now use your answer above to find dw / dt directly. dw /dt = Use your answers above to find dw /dt at t = 7. dw dt It=7Section 14.4: Problem 2 7'0 (1 point) Suppose w : 1n($2 i y2 + Z2) , m = 11,67\" sin(5v) , y 2 me\" cos(5v) , and z = ue . Compute tam/Bu and 5111/31) in two different ways: Find 310/311, [ho/By, and BTU/82 as functions of 'u. and 1). 6111/62: = iii 310/03: = 555 310/02 = 555 Now use your answers above to find 6112/81; and Btu/BU using the chain rule. 310/ u 2 iii 611}/61} = as: Write to as a function ofu and v. w 2 555 Now use your answer above to find Btu/Bu and 8112/81) directly. 310/ u 2 EEE 611)/61} = as: Use your answers above to find Btu/Bu and 3111/31) at (11,10) 2 (8, 2). Bu l(u,'u):(8,2) _ "' Bu |(u,v):(8,2) "I