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Rehab Shabbir

Rehab S.

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In Exercises $5-12,$ find and sketch the domain for each function. $$ f(x, y)=\ln (x y+x-y-1) $$

Thomas Calculus

Partial Derivatives

Functions of Several Variables

In Exercises $5-12,$ find and sketch the domain for each function. $$ f(x, y)=\frac{(x-1)(y+2)}{(y-x)\left(y-x^{3}\right)} $$

Thomas Calculus

Partial Derivatives

Functions of Several Variables
In Exercises $5-12,$ find and sketch the domain for each function. $$ f(x, y)=\ln \left(x^{2}+y^{2}-4\right) $$

In Exercises $5-12,$ find and sketch the domain for each function. $$ f(x, y)=\ln \left(x^{2}+y^{2}-4\right) $$

Thomas Calculus

Partial Derivatives

Functions of Several Variables
In Exercises $5-12,$ find and sketch the domain for each function. $$ f(x, y)=\sqrt{y-x-2} $$

In Exercises $5-12,$ find and sketch the domain for each function. $$ f(x, y)=\sqrt{y-x-2} $$

Thomas Calculus

Partial Derivatives

Functions of Several Variables

Questions asked

INSTANT ANSWER

water level indicator stimulation on Multisim step by step

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ANSWERED

Emily Anderson verified

Numerade educator

Find a matrix ( A ) such that the transformation ( mathbf{x} mapsto A mathbf{x} ) maps [ left[egin{array}{l} 1 \ 3 end{array} ight] ext { and }left[egin{array}{l} 2 \ 7 end{array} ight] ext { into }left[egin{array}{l} 1 \ 1 end{array} ight] ext { and }left[egin{array}{l} 3 \ 1 end{array} ight] ext {, respectively. } ]

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ANSWERED

Supreeta N verified

Numerade educator

Solve the equation ( A B=B C ) for ( A ), assuming that ( A, B ), and ( C ) are square and ( B ) is invertible.

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AWAITING AN EDUCATOR

Question No: 3 (a). If \( \mathbf{v}_{1}, \ldots, \mathbf{v}_{4} \) are in \( \mathbb{R}^{4} \) and \( \left\{\mathbf{v}_{1}, \mathbf{v}_{2}, \mathbf{v}_{3}\right\} \) is linearly dependent, then \( \left\{\mathbf{v}_{1}, \mathbf{v}_{2}, \mathbf{v}_{3}, \mathbf{v}_{4}\right\} \) is also linearly dependent. (b). Explain why a set \( \left\{\mathbf{v}_{1}, \mathbf{v}_{2}, \mathbf{v}_{3}, \mathbf{v}_{4}\right\} \) in \( \mathbb{R}^{5} \) must be linearly independent when \( \left\{\mathbf{v}_{1}, \mathbf{v}_{2}, \mathbf{v}_{3}\right\} \) is linearly independent and \( \mathbf{v}_{4} \) is not in \( \operatorname{Span}\left\{\mathbf{v}_{1}, \mathbf{v}_{2}, \mathbf{v}_{3}\right\} \).

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ANSWERED

Jacob Shpiece verified

Numerade educator

The circuit of Fig. below represents a system comprised of an LED sign powered by a combination of battery storage and three solar panels. The panels are not equally illuminated, so the current each supplies can vary, although the voltage across each is forced to be the same. If IA = 4.5 A, IB = 4.3 A, and IC = 4.6 A, calculate the current flowing into the battery if the LED sign draws 5.1 A.

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ANSWERED

Stephen Zaffke verified

Numerade educator

The circuit of Fig. below represents a system comprised of an LED sign powered by a combination of battery storage and three solar panels. The panels are not equally illuminated, so the current each supplies can vary, although the voltage across each is forced to be the same. If IA = 4.5 A, IB = 4.3 A, and IC = 4.6 A, calculate the current flowing into the battery if the LED sign draws 5.1 A.

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INSTANT ANSWER

The circuit of Fig. below represents a system comprised of an LED sign powered by a combination of battery storage and three solar panels. The panels are not equally illuminated, so the current each supplies can vary, although the voltage across each is forced to be the same. If IA \( =4.5 \mathrm{~A}, \mathrm{IB}=4.3 \mathrm{~A} \), and \( \mathrm{IC}=4.6 \mathrm{~A} \), calculate the current flowing into the battery if the LED sign draws \( 5.1 \mathrm{~A} \).

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INSTANT ANSWER

The circuit of Fig. below represents a system comprised of an LED sign powered by a combination of battery storage and three solar panels. The panels are not equally illuminated, so the current each supplies can vary, although the voltage across each is forced to be the same. If IA \( =4.5 \mathrm{~A}, \mathrm{IB}=4.3 \mathrm{~A} \), and \( \mathrm{IC}=4.6 \mathrm{~A} \), calculate the current flowing into the battery if the LED sign draws \( 5.1 \mathrm{~A} \).

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INSTANT ANSWER

Q3. As a raindrop falls, it evaporates while retaining its spherical shape. If we make the further assumptions that the rate at which the raindrop evaporates is proportional to its surface area and that air resistance is negligible, then a model for the velocity \( v(t) \) of the raindrop is: \[ \frac{d v}{d t}+\frac{\left(\frac{3 k}{\rho}\right)}{t\left(\frac{k}{\rho}\right)+r o} v=g \] Here \( \rho \) the density of water, and ro is the radius of the rain drop at \( t=0, k<0 \) is the constant of proportionality. Solve for \( v(t) \) if the raindrop falls from rest. [15]

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ANSWERED

Sam Stansfield verified

Numerade educator

Consider the LR series circuit with L = 0.1 H, R = 50 ohm and E(t) = 10sin5t if i(0) = 0. Find a). The current at any time t. b). Steady state current.

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