All categories

3 years ago

(3xy2x2y−3)2(9xy−3x3y2)−1.

Mathematics

1 answer:

Crank3 years ago

4 0

Answer:

-18x square y -+36xy square + 54 xy - 1

Step-by-step explanation:

collect the terms, calculate the product, collect the terms, then distribute

You might be interested in

Divide √9x2 by √18y2

Murrr4er [49]

The answer is x√2/2y

Hope this helps! :)

3 0

3 years ago

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

MAXImum [283]

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

Al tom and Joe share €3000. The ratio of the amount Al gets to the amount tom gets is in the ratio 5:4. Joe gets 1.5 times the a

suter [353]

Answer:

€1333.33

Step-by-step explanation:

Al Tom ratio to Joe=5:4

Joe gets 1.5 times the amount Al gets

€3000 in the ratio 5:4

Al share

5/9×3000

=€1666.67

Joe share

4/9×3000

=€1333.33

8 0

3 years ago

Pleaseeeee helpp me question 2 .

OLga [1]

Answer: If you are supposed to graph a line, it will be a horizontal line (parallel to the x-axis) passing through +3 on the y-axis. The slope is 0.

it is a function.

If you are doing range and domain, the range is [3] and the domain is [1,2,3,4,5]

Step-by-step explanation: If there are directions above question 1 that apply to question 2, please add them to the comments.

Maybe someone else will be able to help if it is too late for me to edit this answer.

8 0

3 years ago

What is the vertex of the parabola given by = -(x-2)^2-1?

weqwewe [10]

Rewrite the parabola in standard form and use this formula to find the vertex (h,k).
= (2,-1)

3 0

3 years ago