-(-5)+7-18+4 first yo distribute the negative so it would be 5+7-18+4=-2
Answer:
1. cone
radius, height = 2, 10
volume = 13.33
2. hemisphere
radius= 14
volume = 1829.33
Step-by-step explanation:
The region described has a radius r=2−y/5, therefore, the volume is a cone
radius, height = 2, 10
volume =
= 13.33
2. The region ∫14 0 π(196 - h^2) dh has a radius 196 - h^2, so the volume is a hemisphere
radius = 14
volume
=
=
=1829.33
Answer:
The dimensions are 25 * 50 feet.
Step-by-step explanation:
The 3 sides of the pen will measure (2x + y) feet where x is the width and y is the length.
2x + y = 100
y = 100 - 2x
The area A = xy = x(100 - 2x) ft^2.
Finding the maximum area.
A = x(100 - 2x)
A = 100x - 2x^2 Finding the derivative:
A' = 100 - 4x
For maximum value of A this equals zero:
100 - 4x = 0
4x = 100
x = 25 ft, so this is the width.
The length is 100 - 2(25) = 50 ft.
Answer:
B
Step-by-step explanation:
5t^2-(3-6t-8t^2)
=5t^2-3+6t+8t^2
=13t2-3+6t
