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Dmitry_Shevchenko [17]
2 years ago
6

Write a rule to describe the transformation that is a reflection across the y-axis.

Mathematics
1 answer:
finlep [7]2 years ago
7 0

Answer:

(x,y) becomes (-x, y)

Step-by-step explanation:

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Use Newton’s method to approximate the indicated root of the equation correct to six decimal places. The positive root of 3 sin
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Answer:

x \approx 2.278863

Step-by-step explanation:

Required

The positive root of 3\sin(x) = x

Equate to 0

0 = x -3\sin(x)

So, we have our function to be:

h(x) = x -3\sin(x)

Differentiate the above function:

h'(x) = 1 -3\cos(x)

Using Newton's method of approximation, we have:

x_{n+1} = x_n - \frac{h(x_n)}{h'(x_n)}

Plot the graph of h(x) = x -3\sin(x) to get x_1 --- see attachment for graph

From the attached graph, the first value of x is at 2.2; so:

x_1 = 2.2

So, we have:

x_{n+1} = x_n - \frac{h(x_n)}{h'(x_n)}

x_{1+1} = x_1 - \frac{h(x_1)}{h'(x_1)}

x_{2} = 2.2 - \frac{2.2 -3\sin(2.2)}{1 -3\cos(2.2)} = 2.28153641

The process will be repeated until the digit in the 6th decimal place remains unchanged

x_{3} = 2.28153641 - \frac{2.28153641 -3\sin(2.28153641)}{1 -3\cos(2.28153641)} = 2.2788654

x_{4} = 2.2788654 - \frac{2.2788654 -3\sin(2.2788654)}{1 -3\cos(2.2788654)} = 2.2788627

x_{5} = 2.2788627 - \frac{2.2788627-3\sin(2.2788627)}{1 -3\cos(2.2788627)} = 2.2788627

Hence:

x \approx 2.278863

4 0
2 years ago
I NEED MATH HELP, QUICK! PLEASE HELP ME!<br><br><br> Find f( -7) if f(x) = 3 - 2x.
goldenfox [79]
Plug in -7 for x in the equation...

f(x)  =  3 - 2( - 7 )

f(x)  =  3 + 14 

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Answer:

7 and 1 respectively

Step-by-step explanation:

1/7= 7 ) 1 (, the basic definition of division

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Answer:

A= 256 stickers   B= 8 stickers per student  C= 1 more box

Step-by-step explanation:

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