sanuluy
2021-09-15
Answered

Describe in words the region of $R}^{3$ represented by the equations or inequalities. x=5

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saiyansruleA

Answered 2021-09-16
Author has **110** answers

In $\mathbb{R}}^{3$ , x=5 represents the set of points (5,y,z), where y and z can be any real number.

These points form a plane that is parallel to the yz-plane.

Results:

A plane parallel to the yz-plane where all the points on it have an x-coordinate of 5.

These points form a plane that is parallel to the yz-plane.

Results:

A plane parallel to the yz-plane where all the points on it have an x-coordinate of 5.

asked 2020-10-18

Find a least squares solution of Ax=b by constructing and solving the normal equations.

$A=\left[\begin{array}{cc}3& 1\\ 1& 1\\ 1& 4\end{array}\right],b\left[\begin{array}{c}1\\ 1\\ 1\end{array}\right]$

$\stackrel{\u2015}{x}=$ ?

asked 2021-05-13

A movie stuntman (mass 80.0kg) stands on a window ledge 5.0 mabove the floor. Grabbing a rope attached to a chandelier, heswings down to grapple with the movie's villian (mass 70.0 kg), whois standing directly under the chandelier.(assume that thestuntman's center of mass moves downward 5.0 m. He releasesthe rope just as he reaches the villian).

a) with what speed do the entwined foes start to slide acrossthe floor?

b) if the coefficient of kinetic friction of their bodies withthe floor is 0.250, how far do they slide?

asked 2021-06-20

For the following exercises, use the given information about the polynomial graph to write the equation. Degree 4. Root of multiplicity 2 at

asked 2021-10-11

Use the Laws of Logarithms to expand the expression.

$\mathrm{log}}_{3}\frac{\sqrt{3{x}^{5}}}{y$

asked 2022-07-10

This integral poses a challenge.

Ordinarily integrating rational functions can be solved using the Hermite-Ostrogradski method. However, in the following integral, the coefficients ${\beta}_{0},...,{\beta}_{4}$ are not integers. (Hence, the Hermite-Ostrogradski method would not be appropriate).

Note: Expanding the integrand (trying to solve the integral using a partial fraction decomposition) is (because of the nature of the physical problem described by this integral) an inappropriate solution to this case.

$\int {\displaystyle \frac{1}{{\beta}_{0}+{\beta}_{1}x+{\beta}_{2}{x}^{2}+{\beta}_{3}{x}^{3}+{\beta}_{4}{x}^{4}}}dx$

How can this rational function be evaluated?

Ordinarily integrating rational functions can be solved using the Hermite-Ostrogradski method. However, in the following integral, the coefficients ${\beta}_{0},...,{\beta}_{4}$ are not integers. (Hence, the Hermite-Ostrogradski method would not be appropriate).

Note: Expanding the integrand (trying to solve the integral using a partial fraction decomposition) is (because of the nature of the physical problem described by this integral) an inappropriate solution to this case.

$\int {\displaystyle \frac{1}{{\beta}_{0}+{\beta}_{1}x+{\beta}_{2}{x}^{2}+{\beta}_{3}{x}^{3}+{\beta}_{4}{x}^{4}}}dx$

How can this rational function be evaluated?

asked 2022-07-15

Sketch the following functions using graph transformations:

$f(x)=-\frac{1}{2}(x-3{)}^{2}+3$

$f(x)=-\frac{1}{2}(x-3{)}^{2}+3$

asked 2021-05-16

Use the discriminant to determine the number of real solutions of the equation.

${x}^{2}=6x-9$