Question
Evaluate the given functions.$$g(y, z)=4 y z-z^{3}+4 y ; \text { find } g(y+1, z+2)-g(y, z)$$
Step 1
To do this, we substitute $y+1$ for $y$ and $z+2$ for $z$ in the function $g(y, z)$: $$g(y+1, z+2)=4(y+1)(z+2)-(z+2)^{3}+4(y+1)$$ This simplifies to: $$4yz+8y+4z+4-z^{3}-6z^{2}-12z-8+4y+4$$ Show more…
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