3. f(x) = cos(x - 45°)

Please help with finding the coordinates

The cordinates of the graph are (π, -0.7071) (2π, 0.7071) (3π,-0.7071) similarly for (-π, -0.7071) (-2π, 0.7071)

Step-by-step explanation:

The function f(x)= cos(x-45)

Can be written as y=cos(x-45)

To find the coordinates of the provided function we proceed by taking the value of x as given below in the table

           f(x)= cos(x-45)

Value of “x”                      f(x)

  π                                   -0.7071

 2π                                    0.7071

 3π                                   -0.7071

 4π                                    0.7071

 5π                                   -0.7071

 -π                                   -0.7071

-2π                                    0.7071

-3π                                   -0.7071

-4π                             0.7071

-5π                                    -0.7071

Thus, we see that cosine function is exhibiting cyclicity at the interval of  

The given x and y coordinates can be plotted on the graph to find the interval

geometric series converge the common ratio r has magnitude less than one.

which is equivalent to

for the example we need

|2-x| < 1

-1 < 2-x   and 2-x < 1

x < 3 and x > 1

we can write that

answer: 1 < x < 3

1a. common ratio r=250/25=10 > 1     diverges

1b.   r=50/100=1/2 converges

when these converge they converge to

where a is the first term.

answer: 200

1c. r=-1   so it's not the case that |r| < 1.     diverges

2a. x is the common ratio so we converge when |x|< 1

2b.   r=-10x / -2 = 5x.

we converge when

|5x| < 1

|x| < 1/5

2c.   r=3-2x

-1 < 3-2x and 3-2x < 1

-4 < -2x and 2 < 2x

x < 2 and 1 < x

1 < x < 2

2d. [/tex] r=-48x^3/12 = 4x^3[/tex]

|4x^3| < 1

|x^3| < \frac 1 4

|x| < 4^{-1/3}

idk

step-by-step explanation: