allhvasstH
2020-12-24
Answered

The equivalent polar equation for the given rectangular-coordinate equation:

${x}^{2}\text{}+\text{}{y}^{2}\text{}+\text{}8x=0$

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Asma Vang

Answered 2020-12-25
Author has **93** answers

Conversion formula for coordinate systems are given as:

a) From polar to rectangular:

b) From rectangular to polar:

Converting into equivalent polar coordinates:

Put

Hence, desired equivalent polar coordinates would be

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Househbolder transformation identity matrix dimensions

When performing a householder transformation and generating an elementary reflector matrix of the form:

$H=I-2{\displaystyle \frac{v{v}^{T}}{{v}^{T}v}}$

How do we know the dimensions of the identity matrix?

When performing a householder transformation and generating an elementary reflector matrix of the form:

$H=I-2{\displaystyle \frac{v{v}^{T}}{{v}^{T}v}}$

How do we know the dimensions of the identity matrix?

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Let a be the two dimensional vector <-2, 4>

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Explain why, no matter what b is, the tip of the positionvector of $\frac{b}{|b|}$ is on the unit circle.

Consider a general vector $b\ne 0$ whose position vector makes an angle $\theta $ withthe x-axis.

Explain why, no matter what b is, the tip of the positionvector of $\frac{b}{|b|}$ is on the unit circle.

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$R}^{4$

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Diagonalize the following matrix. The real eigenvalues are given to the right of the matrix.

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Find P and D

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Determine the area under the standard normal curve that lies between

(a) Upper Z equals -2.03 and Upper Z equals 2.03,

(b) Upper Z equals -1.56 and Upper Z equals 0, and

(c) Upper Z equals -1.51 and Upper Z equals 0.68. (Round to four decimal places as needed.)

(a) Upper Z equals -2.03 and Upper Z equals 2.03,

(b) Upper Z equals -1.56 and Upper Z equals 0, and

(c) Upper Z equals -1.51 and Upper Z equals 0.68. (Round to four decimal places as needed.)