Answer:
The height of cone is decreasing at a rate of 0.085131 inch per second.
Step-by-step explanation:
We are given the following information in the question:
The radius of a cone is decreasing at a constant rate.
The volume is decreasing at a constant rate.
Instant radius = 99 inch
Instant Volume = 525 cubic inches
We have to find the rate of change of height with respect to time.
Volume of cone =
Instant volume =
Differentiating with respect to t,
Putting all the values, we get,
Thus, the height of cone is decreasing at a rate of 0.085131 inch per second.
Top:
x / (x + 1) - 1 / x
= [x^2 - (x +1)] / x(x+1)
= (x^2 - x - 1 ) / x (x+1)
Bottom:
x / (x + 1) + 1 / x
= [x^2 + (x +1)] / x(x+1)
= (x^2 + x + 1 ) / x (x+1)
Now you have:
(x^2 - x - 1 ) / x (x+1)
----------------------------
(x^2 + x + 1 ) / x (x+1)
= (x^2 - x - 1 ) / x (x+1) * x (x+1) / (x^2 + x + 1 )
= (x^2 - x - 1 ) /(x^2 + x + 1 )
Answer:
x^2 - x - 1
---------------------
x^2 + x + 1
Answer:
2(4x+1/4)
Step-by-step explanation:
You can put all of these equations into the Desmos Graphing Calculator and you will see that 2(4x+1/4) and -6x+3 3/4+14x-3.25 are equal to each other.
You cannot really see it in the picture below, but the purple 2(4x+1/4) line and the red -6x+3 3/4+14x-3.25 line are overlapping each other.
Answer:
1. 
, base is 8 and exponent is 5
2. 
, the base is -1 and the exponent is 7
3. -2 * 
, the base is a and the exponent is 3
51.65 to the nearest whole number
After the whole number 51, the next digit is 6, and since this is more than 5. So we round up the 51 to 52.
51.65 ≈ 52 to the nearest whole number.
