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3 years ago

11

What are the answers to A and C?

1 answer:

damaskus [11]3 years ago

5 0

8x+1=-x-1 4-5x=1+6x
8x+x=-1-1 -5x-6x=1-4
9×=-2 -11×=-3
×=-2/9 ×=3/11

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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

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

Solve for h. 12h = 180

never [62]

Answer:

15

Step-by-step explanation:

12 goes into 180 fifteen times

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3 years ago

Is this a linear equation <br> 4xy + 2y = 9

puteri [66]

Answer:

no

Step-by-step explanation:

because you have two variables x and y, and there is two letters attached to one number 4xy, so no is not a linear equation

5 0

2 years ago

The opposite angles of a rhombus are equal. <br> a. True <br> b. False

Sergeu [11.5K]

The answer is a, all rhombuses have equal sides, if they have equal sides then day have equal angles.

5 0

3 years ago

Read 2 more answers

Express 78 billion in scientific notation

ryzh [129]

Answer:

$7.8 * 10^{10}$ is scientific notation of 78 billion

Step-by-step explanation:

For scientific notation , follow the following notation:

$a * 10^{b}$ -------->(equation 1)

Let, $a^{'} = 78 billion$

$a^{'} = 78000000000$

$a^{'} = 78000000000.0$

In standard form

$a = 7.8000000000$

or

$a = 7.8$

As decimal point move 10 places from right to left, therefore

b = 10

Put the value of 'a' and 'b' in (equation 1)

$7.8 * 10^{10}$ is scientific notation of 78 billion

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3 years ago