Don't quite get the question
Answer:
4 sin (2x - 4).
Step-by-step explanation:
The amplitude of sin x = 1 so our curve with amplitude 4 will have 4 sin x as part of the general form. To alter the period from 2pi to pi we multiply the x by 2, giving 4 sin 2x, Finally to get a phase shift of 2 to the right, we replace the x by x - 2.
Our formula is 4 sin (2(x - 2))
= 4 sin (2x - 4).
Consider the top half of a sphere centered at the origin with radius

, which can be described by the equation

and consider a plane

with

. Call the region between the two surfaces

. The volume of

is given by the triple integral

Converting to polar coordinates will help make this computation easier. Set

Now, the volume can be computed with the integral

You should get
Answer:
Number of flowers required = 1256
Step-by-step explanation:
Circumference of a circle is given by the formula,
Circumference = 2πr
Here, r = radius of the circle
For a circle with radius = 100 in.
Therefore, circumference = 2π(100)
= 200π
= 628.32 ft
Distance between each flower = 6 in
≈ 
= 0.5 ft
Number of flowers = 
= 
= 1256.63
≈ 1256
Therefore, number of flowers required = 1256
41. Degree 3 = x^3 (maximum power in the equation)
Zeros: -1, 1, 3
(x-1)(x+1)(x-3)=f(x) <--- expand as necessary
44. Zeros: -4, 0, 2
(x+4)x(x-2)= f(x) <--- expand as necessary
47. Multiplicity is how many times a particular number is 0 for a given function.
(x+1)(x-1)^3(x-2)^3 <-- not too sure about this one, google definition of multiplicity?
Hope I helped :)