If \( (x+i y)^{3}=u+i v \), then show that
\[
\frac{u}{x}+\frac{v}{... VIDEO
If \( (x+i y)^{3}=u+i v \), then show thathttps://bit.ly/YTAI_PWAP https://www.pw.live
Other Videos By PW Solutions 2023-02-14 Solve the following system of inequations:
\[
2 x-711,3 x+4-5 \text... 2023-02-14 Water rises to a height \( h \) in a capillary tube lowered vertically into water to a depth \( ... 2023-02-14 Solve the following system of inequations :
\[
2 x+5 \leq 0, x-3 \l... 2023-02-14 Solve the following system of inequations :
\[
x+211,2 x \leq 20 \t... 2023-02-14 Calculate the pressure inside a small air bubble of radius \( r \) situated at a depth of \( h \... 2023-02-14 Solve the following system of inequations :
\[
x+30,2 x14 \text {. ... 2023-02-14 If \( \left(\frac{1+i}{1-i}\right)^{m}=1 \), then find the least in... 2023-02-14 If \( \alpha \) and \( \beta \) are different complex numbers with ... 2023-02-14 If \( (a+i b)(c+i d)(e+i f)(g+i h)=\mathrm{A}+i \mathrm{~B} \), the... 2023-02-14 A cubical block (of side \( 2 \mathrm{~m} \) ) of mass \( 20 \mathrm{~kg} \) slides on inclined ... 2023-02-14 If \( (x+i y)^{3}=u+i v \), then show that
\[
\frac{u}{x}+\frac{v}{... 2023-02-14 A container is partially filled with a liquid of density \( \rho_{2} \). A capillary tube of rad... 2023-02-14 Find the modulus of \( \frac{1+i}{1-i}-\frac{1-i}{1+i} \). 2023-02-14 A drop of liquid of density \( \rho \) is floating half-immersed in a liquid of density \( d \).... 2023-02-14 A man is rowing a boat of mass \( m \) with a constant velocity \( v_{0} \) in a river. The co... 2023-02-14 Let \( z_{1}=2-i, z_{2}=-2+i \). Find
\[
\operatorname{Re}\left(\fr... 2023-02-14 Find the number of non-zero integral solutions of the equation \( |... 2023-02-14 A glass rod of radius \( r_{1} \) is inserted symmetrically into a vertical capillary tube of ra... 2023-02-14 Find the real numbers \( x \) and \( y \) if \( (x-i y)(3+5 i) \) i... 2023-02-14 A large number of droplets, each of radius \( a \), coalesce to form a bigger drop of radius \( ... 2023-02-14 A soap bubble of radius \( R \) is surrounded by another soap bubble of radius \( 2 R \), as sho...
0