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Alik [6]
3 years ago
8

use logarithmic differentiation to find dy/dx y= ((x+2)sqrt(1-x^2))/4x^3

%20%5Csqrt%281-x%5E2%29%29%2F4x%5E3" id="TexFormula1" title="y= ((x+2) \sqrt(1-x^2))/4x^3" alt="y= ((x+2) \sqrt(1-x^2))/4x^3" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Serggg [28]3 years ago
5 0

Answer: dy/dx = (x+2)(x^3-3/2(1-x^2)^1/2 x)+(1-x^2)^1/2/2x^3/2

Step-by-step explanation: Differentiate each term with respect to x, then solve for y.

I hope this helps you out!

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A scale drawing of a square has a side length of 6 millimeters. The drawing has a scale of 1 mm : 7 km. Find the actual perimete
zvonat [6]

Answer:

The real perimeter is:

P= 24 mm *\frac{7 km}{1mm}= 168 km

And the area would be:

P = 36mm^2 *\frac{(7km)^2}{(1mm)^2} = 1764 km^2

Step-by-step explanation:

For this case we know one side of a square given 6mm.

We can begin calculating the perimeter for the scale figure with this formula:

P = 4x = 4*6 mm =24 mm

The area for this case is given by:

A = x^2 = 6mm^2 = 36 mm^2

And we know that the drawing has a scale of 1 mm : 7 km and if we convert the perimeter to km we got:

P= 24 mm *\frac{7 km}{1mm}= 168 km

And the area would be:

P = 36mm^2 *\frac{(7km)^2}{(1mm)^2} = 1764 km^2

6 0
3 years ago
Which coordinate pair is a solution of the linear
Alika [10]

Answer:

The answer is (-8,10).

6 0
3 years ago
Read 2 more answers
(2x + y) (2x + 2y) =
IceJOKER [234]

Answer: 4x^2 + 6xy + 2y^2

Step-by-step explanation:

(2x + y)(2x + 2y) =

2x*2x + 2x*2y + y*2x + y^2y =

4x^2 + 4xy + 2xy + 2y^2 =

4x^2 + 6xy + 2y^2

3 0
3 years ago
Read 2 more answers
Multiply.<br> (3b-5) (7b+1)<br> Simplify your answer.
mylen [45]
<h3>Answer:</h3>

It would be 21b² -32b -5

<h3>Step-by-step explanation:</h3>

By using the FOIL method, you can simplify the equation.

<em>The Foil Method is </em><u><em>ac + ad + bc +bd</em></u><em>, or </em><u><em>First, Outer, Inner, Last.</em></u>

First, you multiply the first term in each bracket.

3b * 7b = 21b²

Next, you multiply the outer term in each bracket.

3b * 1 = 3b

Then, you multiply the inner term in each bracket.

-5 * 7b = -35b

After that, you multiply the last term in each bracket.

-5 * 1 = -5

Lastly, you combine like terms.

21b² + 3b -35b -5 ---> 21b² -32b -5

<em>21b² -32b -5 would be your answer, since you cannot simplify the equation anymore.</em>

7 0
3 years ago
Tyler wears a jacket to school every 3rd day and a scarf to school every 8th day. What will be the first day Tyler will wear his
disa [49]

Answer:

24th day will  be the first day on which Tyler will wear his jackets and scarf to school

Step-by-step explanation:

We can find the first day on which the Tyler will wear his jackets and scarf to school by taking the LCM of(3,8)

<u>Finding the LCM of(3,8)</u>

List all prime factors for each number.

Prime Factorisation of 3 shows:

3 is prime  =>  3^1

Prime Factorisation of 8 is:

2 x 2 x 2  =>  2^3

For each prime factor, find where it occurs most often as a factor and write it that many times in a new list.

The new super-set list is

2, 2, 2, 3

Multiply these factors together to find the LCM.

LCM = 2 x 2 x 2 x 3 = 24

6 0
3 years ago
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