Answer:
Cos x = 1 - + - + ...
Step-by-step explanation:
We use Taylor series expansion to answer this question.
We have to find the expansion of cos x at x = 0
f(x) = cos x, f'(x) = -sin x, f''(x) = -cos x, f'''(x) = sin x, f''''(x) = cos x
Now we evaluate them at x = 0.
f(0) = 1, f'(0) = 0, f''(0) = -1, f'''(0) = 0, f''''(0) = 1
Now, by Taylor series expansion we have
f(x) = f(a) + f'(a)(x-a) + + + + ...
Putting a = 0 and all the values from above in the expansion, we get,
Cos x = 1 - + - + ...
Answer:
276.3cm²
Step-by-step explanation:
The lateral surface area is the area of all the sides of a 3-dimensional object excluding its base and top.
A can is in the shape of a cylinder
Lateral surface area of a cylinder = 2πrh
π = pi = 3.14
h = height = 11
r = radius = 4
2 x 3.14 x 4 x 11 = 276.32 cm²
to the nearest tenth = 276.3 cm²
the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero
The weekly charge for her lessons is 81.25
(multiply the hours with the amount of money they earn per hour)
independent variable=weeks
dependent variable=$32.50 per hour
Answer:
y = -
Step-by-step explanation:
Substitute x = - 3 into the expression
2x - 7y = 30
2(- 3) - 7y = 30
- 6 - 7y = 30 ( add 6 to both sides )
- 7y = 36 ( divide both sides by - 7 )
y = = -