Answer: 
Step-by-step explanation:
Given
Equation of curve is 
When this curve is rotated about the y-axis, then volume generated is given by
When
, 
Put the limits and solve the integral

Answer: Answer: x≥ −1
/2
Step-by-step explanation:
Answer:
w<6
Step-by-step explanation:
3w/3 <18/3
You divide that and get w<6.
Since the area of any thing is length time width, we can divide 4864 by 152 to get the width of the garden. This gives us 32. Now we need to add 152 + 152 + 32 + 32 to get our total feet of fencing necessary. This would give us 368 feet of fencing.
Answer:
Shifted by 6 units left on the x-axis.
Step-by-step explanation:
Given function is,
f(x) = 5ˣ + 1
After transformation, this function becomes g(x) = 
Here, g(x) = f(x + 6)
By the rule of transformation,
Function 'f' has been shifted by 6 units left on the x-axis to form a new function 'g'.