Solve the system of equations 2x-y=1; x+2y=8 graphically and find the coordinates of the points where corresponding lines intersect y-axis.
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$39$ Find the directional derivative of $f\left(x,y\right)=.1^{2}+y^{2}$ at the YV point $P_{0}\left(1_{,1}\right)$ in the diréction of the unit vector u shown in Figure $11.35$ $11$ $l=coac+6w$ $\dfrac {\pi } {6}$ $b$ $P$ $\left(0$
Calculus
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$11$ Find the directional derivative of the function $f\left(x,y\right)=x^{2}-y$ at the point $\left(2,1\right)$ in the direction of the unit vector $→=\left(\dfrac {3} {5},\dfrac {4} {5}\right)$ . $2$
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b) $\right)$ Find the directional derivative of $y\left(x,y,=\right)=xy^{3}+yz^{3}$ at the point $\left(2,-1,-3\right)$ in the direction of vector $2i$ $-3\bar{i} +42\bar{k} $ $\left(6M\right)$
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$04//$ Let $fbea$ function of two variables that has continuous partial derivatives and consider the points $A\left(1,3\right),B\left(3,3\right)$ $C\left(l,$ $ca,7$ and $D\left(6,15\right).$ The directional derivative of j at $A$ in the direction of the vector $\vec{AB} $ is 3 and the directional derivative at $A$ in the direction of $\vec{AC} $ is $26$ Find the directional derivative of $y$ at $A$ in the direction of the vector $\vec{AD} $ $AD.$ $\left(S$ $narky\right)$ $y$
Calculus
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