The Taylor series is defined by:
Let a = 0.
Then its just a matter of finding derivatives and determining how many terms is needed for the series.
Derivatives can be found using product rule:
Do this successively to n = 6.
Plug in x=0 and sub into taylor series:
If more terms are needed simply continue the recursive derivative formula and add to taylor series.
Answer:
B, C, D, & E
Step-by-step explanation:
All lines intersect the x axis and y axis so we know B and D are correct. All graphs are in the xy plane unless i (
) is involved, or C. It crosses the center (origin) of the entire plane so it crosses the origin, or E.
Answer:
The volume of water in the vase is 
Step-by-step explanation:
A cylinder vase has a height, h, of 10 inches and its diameter of 3 inches. This means that its radius, r, is:
r = 3 / 2 = 1.5 inches
To find the volume of the water in the vase if the water raises to 9/10 of the way to the top, we first have to find the volume of the vase when it is filled with water and then, find 9/10 of that volume.
The volume of a cylinder is given as:
The volume of the vase will be:
Hence, the volume of the water in the vase when it is 9/10 filled is:
Approximating to the nearest cubic inch, the volume of water in the vase is
Answer:
m= 8n-7/10
Step-by-step explanation:
n- 5/2 + 5/4 m= -27/8 + 2n
n- 5/2 + 5/4 m-n = -27/8 +2n-4
-5/2 +5 /4m=- 27/8 +n
- 5/2 + 5/4 m + 5/2 = - 27/8+n+ 5/2
5/4 m =n- 7/8
4. 5/4 m=4n -4 . 7/8
5m=4n- 7/2
5m/5 = 4n/5 - 7/2 /5
m= 8n-7/10
