Lucille Douglas
2022-09-13
Answered

solve the equation $$\mathrm{sin}x=\sqrt{3}/2$$

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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 2022-07-16

Find f'(x) if $f(x)=\sqrt{9-x}$ and state its domains of f'(x)

$=\underset{h\to 0}{lim}\frac{f(x+h)-f(x)}{h}\phantom{\rule{0ex}{0ex}}=\underset{h\to 0}{lim}\frac{\sqrt{9-(x+h)}-\sqrt{9-x}}{h}(\frac{\sqrt{9-(x+h)}+\sqrt{9-x}}{\sqrt{9-(x+h)}+\sqrt{9-x}})$

$=\underset{h\to 0}{lim}\frac{f(x+h)-f(x)}{h}\phantom{\rule{0ex}{0ex}}=\underset{h\to 0}{lim}\frac{\sqrt{9-(x+h)}-\sqrt{9-x}}{h}(\frac{\sqrt{9-(x+h)}+\sqrt{9-x}}{\sqrt{9-(x+h)}+\sqrt{9-x}})$

asked 2022-09-10

Beatty can pour a concrete driveway in 6.5 hours and it takes Lashea 7.75 hours to do the same thing. How long will it take them if they work together?

asked 2021-09-29

Solve each radical equation. Check potential solutions.

$\sqrt{5x}=x-10$

asked 2021-09-20

A system of linear equations is given below.

2x+4y=10

$-\frac{1}{2}x+3=y$

Find the solution to the system of equations.

A. (0, -3)

B. (-6, 0)

C. There are infinite solutions.

D. There are no solutions.

2x+4y=10

Find the solution to the system of equations.

A. (0, -3)

B. (-6, 0)

C. There are infinite solutions.

D. There are no solutions.

asked 2022-07-16

Use the point-slope form of a line to write the equation of a line that has a slope of 2 and passes through the point (-4, 3). Write the equation in slope-intercept form. Choose the equation of the line.

a)y = 2x – 7

b)y = 3x +14

c)y = –4x + 14

d)y = 2x + 11

a)y = 2x – 7

b)y = 3x +14

c)y = –4x + 14

d)y = 2x + 11