Let $z = e ^ { x ^ { 2 } } \sin y$

question 209

Multiple Choice

Let $z = e ^ { x ^ { 2 } } \sin y$ , and let $x$ and $y$ be functions of $t$ with $x ( 1 ) = 0 , y ( 1 ) = 0 , x ^ { \prime } ( 1 ) = 3$ , and $y ^ { \prime } ( 1 ) = 4$ . Find $d z / d t$ when $t = 1$ .

• A)0
• B)1
• C)2
• D)3
• E)4
• F)5
• G)6
• H)7

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