Question 1: The water level in a tank can be modeled by the function h(t)=4cos(+)+10, where t is the number of hours
since the water level is at its maximum height, h. How many hours pass between two consecutive times when
the water in the tank is at its maximum height?
Your answer...
Question 2: Point B has coordinates (3, -4) and lies on the circle whose equation is x + y = 25. If an angle is drawn in
standard position with its terminal ray extending through point B, what is the sine of the angle?
Your answer...

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}

345

step-by-step explanation:

answer: #1 ads up by 8 and i don't know #2