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Stels [109]
3 years ago
9

Which of the following is the graph of y = cosine (2 (x + pi))?

Mathematics
2 answers:
blagie [28]3 years ago
6 0

Answer:

C

Step-by-step explanation:

edge2020

bonufazy [111]3 years ago
4 0
On a coordinate plane, a curve crosses the y- axis at (0,1). It has a minimum of negative 1 and a maximum of 1. It goes through 2 cycle at 2 pi.

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Find the maximum rate of change of f(x,y) = x2y +2y
nevsk [136]

Answer:

Maximum rate of change at the point (-1,2) = √17

Direction is the direction of the gradient

Step-by-step explanation:

The gradient of a function (scalar or vectorial ) is a vector in the direction of maximum rate of change then

f( x,y ) =  x*2y  + 2y

grad    =  δ/δx i +  δ/δy j + δ/δz k

grad f(x,y)  = [ δ/δx i , δ/δy]  =  [ 2y , x+2 ]

at the point  ( -1 , 2 )

grad f(x,y)  = [4 , 1]

| grad f(x,y) |  =  √ (4)²  + (1)²   =  √17

4 0
3 years ago
iTunes and Amazon each have plans for downloading music. iTunes charges $5.00 to join and $0.75 per song. Amazon has no fee to j
aleksandrvk [35]

Answer:

20 songs.

Step-by-step explanation:

we are given that,  iTunes charges $5.00 to join and $0.75 per song.

Amazon has no fee to join and charges $1.00 per song.

Let x songs would you have to download (same number of downloads for each company) so that the prices are the same.

Then we can write

5+0.75x=1x\\\text{take like terms together by adding -0.75x on both the sides}\\5+0.75x-0.75x=1x-0.75x\\5=0.25x\\\text{Divide both the sides by 0.25}\\x=20

7 0
3 years ago
Y and x have a proportional relationship, and y = 12 when x = 5. What is the value of y when x = 8?
serious [3.7K]
When x = 8 y = 15

The way to figure this out is to subtract 12 by 5. That’s 7 so there’s a difference of 7 between both of the numbers.

Hope this helped!
8 0
2 years ago
What is the median of the following data set ? {3,4,2,8,5}
Varvara68 [4.7K]

<u>4</u>

<u></u>

Explanation:

3, 4, 2, 8, 5

<u>arrange in ascending order</u>

2, 3, 4, 5, 8

<u>Identify the integer at the middle</u>

median: 4

6 0
2 years ago
Example 2:
Montano1993 [528]
Taking this example into account, we can see that setting the first value equal to 1, we obtain that F(x)=0.5x+1=4 and x=6. Using this information, we find that F(x+1)=0.5(x+1)+1=0.5(6+1)+1=4.5. It shows that when x is positive, the succussive terms are increasing.

Referring to that finding, if we set initial value less than zero, which means that we are solving 0.5x+1<0 and taking a number in the interval of the solution, which means x ∈ (- ∞, -20). Setting x=-19, we find that F(x)=0.5x+1=-19 and x=-40. In the next iteration, F(x+1)=0.5(x+1)+1=0.5(1-40)+1=-18.5. In the next iteration, F(x+2)=0.5(x+2)+1=0.5(2-40)+1=-18. By this way, we find that even if the initial value is less than zero, value of the successive iterations is increasing. 

Using the function g(x)=-x+2 and taking the initial value equal to 4, we find that g(x)=-x+2=4 and x=-2. In the next iteration, g(x+1)=-(x+1)+2=-(-2+1)+2=3. If we continue the iterations we'll see that they are decreasing.
Setting the initial value equal to 2, we find that g(x)=-x+2=2 and x=0. The next iteration is g(x+1)=-(x+1)+2=1. In this case, the interations are also decreasing. 
If we set the initial value equal to 1, we find that g(x)=-x+2=1 and x=1. In the next iteration, g(x+1)=-(x+1)+2=0 and the iterations are decreasing. 
8 0
3 years ago
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