Find the particular solution to y ' = 2sin(x) given the general solution is y = C - 2cos(x) and the initial condition y of pi over 2 equals 1 .-2cos(x)
2 - 2cos(x)
1 - 2cos(x)
-2 - 2cos(x)

I think it is option C. Thank you in advance!

Answers

Answer 1
Answer:

Answer:

1 − 2 cos x

Step-by-step explanation:

y' = 2 sin x

y = C − 2 cos x

1 = C − 2 cos(π/2)

1 = C

y = 1 − 2 cos x


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What is the image point of (-1,1)(−1,1) after a translation left 2 units and down 2 units?

Answers

The required image of the point (-1, 1) is (-3, -1).

Given that,
To determine the image point of (-1,1)(−1,1) after a translation left 2 units and down 2 units.

What is coordinate?

Coordinate, is represented as the values on the x-axis and y-axis of the graph

Here,
The given point, (-1, 1)
This point has been translated left 2 units and down 2 units
Whenever it is right or left translation, there is a change in the coordinate of x and when there is up and down translation there is a change in the coordinate of the y-axis,

Now,
2 units left
x = -1 - 2 = -3
2 units down
y = 1 - 2 = -1

Thus, the required image of the point (-1, 1) is (-3, -1).

Learn more about coordinate here:

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Moving from the point (-1, 1) left 2 units and down 2 units, the point would end up being:

(-3, -1)

What is 6/10 plus 3/100

Answers

decimal form: 0.63
fraction form: (63)/(100)

Answer:

decimal form: 0.63

fraction form:  \frac{63}{100}

Step-by-step explanation:

3 goes after 6 and 100 replaces 10. For the decimal form you divide 63 by 100, which results in 0.63.

When ordering a sundae, you may choose three toppings from their list of 10 available. Assuming that your chosen toppings must be different, how many different sundaes with three toppings can you order?

Answers

Answer:

there are 120 different sundaes with three toppings you can order.

Step-by-step explanation:

If the chosen toppings must be different, then that means it's a Combination where the order doesn't matter (as long as they're all different).

Equation: 10C3

Forming Equation: 10!/(10-3)!*3!=10*9*8*7!/7!*3!=10*9*8/6=720/6=120

Therefore, there are 120 different sundaes with three toppings you can order.

Which of the following is a complex number?2+ 34 9i

Answers

Answer:

Option 3 -  4+9i                          

Step-by-step explanation:

Given : Options in the figure.

To find : Which of the following is a complex number?

Solution :

Complex number is defined as the number which contains real number along with imaginary number.

The complex number is in the form of a+ib.

Now, we determine one by one.

Option 1 - -7

-7 is the real number not complex.

Option 2 -2+√(3)

2+√(3) is the real number not complex.

Option 3 -4+9i

4+9i is in the form a+ib so it is a complex number.

Option 4 - \pi

\pi is the real number not complex.

Therefore, Only option 3 is the complex number.

4+9i, since i is a complex number which is the square root of 1. It is the only solution with i in it.

Give that cos 42* = 0.743, what is the sine of the complementary angle?

Answers

the complement of 42 is 90-42 or 48. sin of 48 is 0.743144

a total of 300 trees will be planted in a park. there will be 2 pine trees for every 3 maple trees planted plot the poinys that represent the number of pine and mapletrees planted

Answers

If you would like to know how many pine and maple trees will be planted, you can calculate this using the following steps:

2 pine trees + 3 maple trees = 5 trees

300 trees / 5 trees = 300 / 5 = 60

pine trees: 2 * 60 = 120
maple trees: 3 * 60 = 180

The correct result would be 120 pine trees and 180 maple trees.

Answer:

120 pine and 180 maple

Step-by-step explanation: