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4 years ago

Find the derivative of f(x)=2arcsin(x-1)

1 answer:

6 0

Since $\dfrac{\mathrm d}{\mathrm dx}\arcsin x=\dfrac1{\sqrt{1-x^2}$ , you have

$\displaystyle\frac{\mathrm d}{\mathrm dx}2\arcsin(x-1)=2\frac{\mathrm d}{\mathrm dx}\arcsin(x-1)=2\frac{\dfrac{\mathrm d}{\mathrm dx}(x-1)}{\sqrt{1-(x-1)^2}=\frac2{\sqrt{2x-x^2}}$

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Regent Stadium charges $20 for a seat in the bleachers, $30 for an end zone seat, and $40 for the excellent seats near the 50-ya

lakkis [162]

Answer:

The number of bleachers seat sold = 200

The number of end zone seats sold =200

The number of excellent seats sold =100

Step-by-step explanation:

Let there are bleachers seats =x

The number of zone seats =y

The number of excellent seats =z

So, we can set up equations for given sentences as

x+y+z= 500

20 x+30 y+40 z=14000

x=y

Substitute x as y into first two equations

y+y+z=500

20 y+30 y+40 z=14000

Simplify each

2 y+z=500

50 y+40 z= 14000

Multiply 2 y +z=500 by -40 to eliminate z terms when we add them.

-80 y-40 z=-20000

Add this with 50 y +40 z=14000, which gives

-30 y=-6000

Divide both sides by -30

y=200

Now, plug in y as 200 into any of the equations to find z.

2(200)+z=500

400+z =500

Subtract both sides 400.

z=100

Now, we know x=y

So, x=200

8 0

4 years ago

The swimming pool is open when the high temperature is higher than 20^\circ\text{C}20 ? C20, degree, C. Lainey tried to swim on

Svetlanka [38]

Answer:

$30-3d\leq 20$

Step by step explanation:

Let d represent the rate of temperature decrease in degrees Celsius per day from Monday to Thursday.

As temperature decreased at a constant rate in the next 3 days, so the rate of temperature will decrease 3d degree Celsius in 3 days.

We are told that the pool was open on Monday. The high temperature was $30^{\circ}{\text{C}$ on Monday. So the decrease in temperature from Monday to Thursday will be $30-3d$ .

We have been given that the swimming pool is open when the high temperature is higher than $20^{\circ}{\text{C}$ .

As the pool was closed on Thursday. This means that temperature on Thursday was less than or equal to 20 degree Celsius. We can represent this information in an inequality as:

$30-3d\leq 20$

Therefore, the inequality $30-3d\leq 20$ can be used to determine the rate of temperature decrease in degrees Celsius per day, d, from Monday to Thursday.

5 0

3 years ago

James can purchase an item from several different stores or online. Which of the following is the

Natalka [10]

Um so basically the answe is yeah and that's the answer hood it helps lol

5 0

3 years ago

6. If the set A = {-2, 1, 3), then the set A is a subset of the set of?

NeX [460]

Answer:

Step-by-step explanation:

We could invent set B: {-2, 1, 3, 5, 6, 10} and then correctly state tht set A is a subset of B, because {-2, 1, 3} is also found in A.