Chapter 11: Q42E (page 624)
Draw graph and contour map for the following function:
\(Z = {e^x}\cos y\)
Short Answer
Answer is not given in the drive
Chapter 11: Q42E (page 624)
Draw graph and contour map for the following function:
\(Z = {e^x}\cos y\)
Answer is not given in the drive
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Get started for freeFind the limit, if it exists, or show that the limit does not exist.
\(\mathop {lim}\limits_{\left( {x,y} \right) \to \left( {0,0} \right)} \frac{{xy + y{z^2} + x{z^2}}}{{{x^2} + {y^2} + {z^2}}}\)
Determine the partial derivatives of \(\frac{{\partial z}}{{\partial x}}\) and \(\frac{{\partial z}}{{\partial y}}\) using equation 7.
\(xyz = \cos (x + y + z)\)
Find the value of \(\frac{{\partial N}}{{\partial u}},\frac{{\partial N}}{{\partial v}}\) and \(\frac{{\partial N}}{{\partial w}}\) using chain rule if \(N = \frac{{p + q}}{{p + r}},p = u + vw,q = v + uw\) and \(r = w + uv\) when \(u = 2,v = 3\) and\(w = 4\).
Find the limit, if it exists, or show that the limit does not exist.
\(\mathop {lim}\limits_{\left( {x,y} \right) \to \left( {0,0} \right)} \frac{{5{y^4}co{s^2}x}}{{{x^4} + {y^4}}}\)
Find the value of \(\frac{{\partial P}}{{\partial x}}\) and\(\frac{{\partial P}}{{\partial y}}\),using the chain rule if \(P = \sqrt {{u^2} + {v^2} + {w^2}} ,u = x{e^y},v = y{e^x}\) and \(w = {e^{xy}}\)when \(x = 0\) and \(y = 2.\)
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