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3 years ago

Differentiate y=(6x)/(1-cot(x))

1 answer:

8 0

$\bf y=\cfrac{6x}{1-cot(x)}\implies \cfrac{dy}{dx}=\stackrel{quot ient~ru le}{\cfrac{6[1-cot(x)]~-~6x[-csc^2(x)]}{[1-cot(x)]^2}}
\\\\\\
\cfrac{dy}{dx}=\cfrac{6-6cot(x)~+~6xcsc^2(x)}{[1-cot(x)]^2}$

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Haley’s work evaluating (Negative 2) Superscript 8 is shown below.

mel-nik [20]

Step-by-step explanation:

She made a sign error when multiplying and should have had 256 as a final answer.

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1 year ago

The figure below shows the parcel of land on, which dallas, the zoo keeper , confines his zebras. His rule of thumb dictates tha

Irina18 [472]

Unfortunately, you haven't shared the "figure below" that shows the dimensions of this parcel of land. Without being able to calculate the area of the parcel, you cannot really answer this question exactly.

Suppose that the area of the parcel were 6000 square meters. Dividing that by 1500 square meters, we get 4, which represents the number of zebras that can live on this (example) parcel.

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3 years ago

Please HELP me 50 points worth

Leokris [45]

Answer:

y=-½x + 1

Step-by-step explanation:

1.) a perpendicular lines uses the opposite inverse of a line so the slope becomes -½x

2.) make an equation that looks as so:

y=-½x+b

the y intercept is unknown so it must be a variable.

3.) substitute the points you are given into the equation:

3=-½(4)+b

4.) solve for b

3=2+b

-2|-2

1=b

4.) place b into the equation

y=-½x + 1

8 0

3 years ago

A publisher reports that 45% of their readers own a laptop. A marketing executive wants to test the claim that the percentage is

nexus9112 [7]

Answer:

$z=\frac{0.40 -0.45}{\sqrt{\frac{0.45(1-0.45)}{370}}}=-1.933$

$p_v =2*P(z$

Step-by-step explanation:

Information given

n=370 represent the sample selected

$\hat p=0.4$ estimated proportion of readers owned a laptop

$p_o=0.45$ is the value that we want to test

z would represent the statistic

$p_v$ represent the p value

Creating the hypothesis

We need to conduct a hypothesis in order to test if the true proportion of readers owned a laptop is different from 0.45, the system of hypothesis are:

Null hypothesis: $p=0.45$

Alternative hypothesis: $p \neq 0.45$

The statistic is:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

Replacing we got:

$z=\frac{0.40 -0.45}{\sqrt{\frac{0.45(1-0.45)}{370}}}=-1.933$

Calculating the p value

We have a bilateral test so then the p value would be:

$p_v =2*P(z$

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2 years ago

F(x) = 3x + 2

Vinvika [58]

Answer:

g(f(x)) = 9x² + 12x + 5

Step-by-step explanation:

g(f(x))

= g(3x + 2) ← substitute x = 3x + 2 into g(x)

= (3x + 2)² + 1

to expand (3x + 2)² = (3x + 2)(3x + 2)

each term in the second factor is multiplied by each term in the first factor

3x(3x + 2) + 2(3x + 2) ← distribute both parenthesis

= 9x² + 6x + 6x + 4 ← collect like terms

= 9x² + 12x + 4

then

g(f(x)) = (3x + 2)² + 1 = 9x² + 12x + 4 + 1 = 9x² + 12x + 5

5 0

1 year ago