Lucille Douglas
2022-09-14
Answered

A cyclist traveled at a constant speed from city A to city B, the distance between which is 60 km. After resting, he went back to A, increasing his speed by 10 km/h. On the way, he made a stop for 3 hours, as a result of which he spent as much time on the way back as on the way from A to B. Find the speed of the cyclist on the way from A to B.

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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).

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

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

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

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Consider the following system of linear equations:

4x+2y=25

4x-y=-5

If the value of y is 10 what is the value of X for this system:

1.1.25

2.11.25

3.1.45

4.5

4x+2y=25

4x-y=-5

If the value of y is 10 what is the value of X for this system:

1.1.25

2.11.25

3.1.45

4.5

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Solve the following system of linear equations in two variables by Substitution method.

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Use substitution to determine whether the given x-value is a solution of the equation.

$\mathrm{sin}x=\frac{\sqrt{2}}{2},x=\frac{\pi}{3}$