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3 years ago

MDWQNFIQnfwoeinfwejbfjewgb

Mathematics

1 answer:

lions [1.4K]3 years ago

6 0

Answiwafianignaasjkgniaswbn

Step-by-step explanation:

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Find the tangent line equation of the curve at the given point. Y=arcsin(7x) at the point where x=sqrt2/14

Mumz [18]

Answer:

$Y-\frac{\pi}{2} =\frac{\pi}{2} (x+\sqrt{\frac{1}{7}})$

Step-by-step explanation:

The equation of the curve is

$Y = sin^{-1}(7x)$

To find the equation of tangent we need to differentiate this equation w.r.t x

So, differentiating we get

$Y'=\frac{7}{\sqrt{1-49x^2} }$

This would give the slope of the tangent line at any given point of which x coordinate is known. In the present case it is $x = \sqrt{\frac{1}{7} }$

Then slope would accordingly be

$Y'=\frac{7}{\sqrt{1-49/49} }$

= ∞

For, $x = \sqrt{\frac{1}{7} }$ , $Y = sin^{-1}(7/7)= \pi/2$

Equation of tangent line, in the point slope form, would be $Y-\frac{\pi}{2} =\frac{\pi}{2} (x+\sqrt{\frac{1}{7}})$

4 0

3 years ago

Write an algebraic expression for the phrase the sum of g and 3

Paraphin [41]

The sum of g and 3.

The sum of two values is added together.

g+3

You would add g to 3 since it is their sum the statement is asking for.

I hope this helps!
~kaikers

3 0

4 years ago

Write 4.51 as a mixed number and as an improper fraction.

anyanavicka [17]

it will be 451/100 as an improper fraction! :)

7 0

3 years ago

A company is considering the purchase of a new machine for $75,660. management predicts that the machine can produce sales of $2

nekit [7.7K]

The company is considering the purchase of a new machine for $75,660 (based on the available data), and the payback period is 24 years.

<h3>What is the payback period?</h3>

The payback period is the time the company requires to recoup its investment for the new machine.

The payback period can be computed by dividing the investment cash outflows by the annual net cash inflows.

<h3>Data and Calculations:</h3>

Initial investment in new machine = $75,660

Annual depreciation expense = $4,600

Investment period = 10 years

Annual sales revenue = $20,000

Annual expenses = $16,800

Ne annual cash inflow = $3,200 ($20,000 - $16,800)

Payback period = 24 years ($75,660/$3,200)

Thus, since the payback period is 24 years, while the investment period is 10 years, it sounds unwise for the company to continue the investment.

Learn more about the payback period at brainly.com/question/23149718

#SPJ1

3 0

2 years ago

SOLVE PLEASE THANKSS The perimeter of a rectangle is no more than 556 inches. The length is 150 inches. Write an inequality and

hoa [83]

So perimeter<556
permiter=2Legnth+2Width
so perimiter=2(legnth+width)

556/2>Legnth+width
228>legnth +width
legnth =150
so 228>150+width
subtract 150 from both sides
78>width
width cand be 78 or less but not 0 or negative

anoth way to do it is 556>2(150)+2width
556>300+2width
subtract 300 from both sides
256>2width
divide both sides by 2
78>width

8 0

3 years ago