Mathematics, 10.11.2019 06:31 vaneayala3078
Find the volume of the solid s between the surfaces z equals 4 e superscript x minus y and z equals negative 3 e superscript x minus y, where s intersects the xy-plane in the region upper r equals startset (x comma y ): 0 less than or equals x less than or equals y comma 0 less than or equals y less than or equals 1 endset.
Answers: 3
![V=\int\limits^._. {\int\limits^._. [z_{1}(x,y)-z_{2}(x,y)]\, dx } \, dy](/tpl/images/0367/7512/aacbc.png)
![V=\int\limits^1_0 {\int\limits^y_0 [4e^{x-y}-(-3e^{x-y} )]\, dx } \, dy](/tpl/images/0367/7512/816e2.png)
![V=\int\limits^1_0 {\int\limits^y_0 [4e^{x-y}+3e^{x-y}]\, dx } \, dy](/tpl/images/0367/7512/fd2ce.png)
![V=\int\limits^1_0 {\int\limits^y_0 [7e^{x-y}]\, dx } \, dy](/tpl/images/0367/7512/2ade7.png)
![V=\int\limits^1_0 {[7-7e^{-y}]} \, dy](/tpl/images/0367/7512/1f757.png)
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Find the volume of the solid s between the surfaces z equals 4 e superscript x minus y and z equals...
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