(Solved): D15 Consider the function H:R2R defined by H(x,y)=y+18x+16y Evaluate the ...

D15???????

Consider the function $$H:{\mathbb{R}}^2?\mathbb{R}$$ defined by $$H(x,y)=\frac{8x+16y}{y+1}$$ Evaluate the following partial derivatives. $$\begin{array}{l}{H}_x=\\ H_y=\end{array}$$ In order to approximate the value of $$H(2.02,0.091)$$, it would be meaningful to use $$H(a,b)$$, where $$a=\text{ and }b=$$ are both integer numbers. Use total differential approximation at your point $$(a,b)$$ to approximate $$H(2.02,0.091)$$ even better. $$H(2.02,0.091)?$$ Please provide full reasoning for your approximation in the Essay Box below. For $$H_x,H_y,?H,?$$ y $$Hx,Hy,\mathrm{Delta}(H),=:$$ respectively, or use the Equation Editor provided within.