Answer: y = -4x + 4
<u>Step-by-step explanation:</u>
use the product formula (ab' + a'b) to find the derivative:
x * (1 - 2x)³
a = x a' = 1
b = (1 - 2x)³ b' = 3(-2)(1 - 2x)²
= -6(1 - 2x)²
<u>ab' + a'b</u>
= x(-6)(1 - 2x)² + 1(x)
= -6x(1 - 2x)² + x
Plug in the given x-values to find the slope:
= -6(1)(1 - 2(1))² + (1)
= -6(-1)² + 1
= -6 + 1
= -5
Next, input the slope and the point into the Point-Slope formula:
y + 1 = -5(x - 1)
y + 1 = -4x + 5
y = -4x + 4
Answer:1 1/6
Step-by-step explanation:
Answer:Can’t see what the stuff says
Step-by-step explanation:
Answer:
![\displaystyle V\approx 769.7\text{ in}^3](https://tex.z-dn.net/?f=%5Cdisplaystyle%20V%5Capprox%20769.7%5Ctext%7B%20in%7D%5E3)
Step-by-step explanation:
We are given that the diameter of the sand-shaped cone is 14 inches, and the height is 15 inches.
The volume for a cone is given by:
![\displaystyle V=\frac{1}{3}\pi r^2h](https://tex.z-dn.net/?f=%5Cdisplaystyle%20V%3D%5Cfrac%7B1%7D%7B3%7D%5Cpi%20r%5E2h)
Where r is the radius and h is the height.
Since the diameter is 14, the radius is 7.
And we are given that the height is 15.
Therefore, the volume will be:
![\displaystyle V=\frac{1}{3}\pi (7)^2(15)](https://tex.z-dn.net/?f=%5Cdisplaystyle%20V%3D%5Cfrac%7B1%7D%7B3%7D%5Cpi%20%287%29%5E2%2815%29)
Use a calculator:
![\displaystyle V\approx 769.7\text{ in}^3](https://tex.z-dn.net/?f=%5Cdisplaystyle%20V%5Capprox%20769.7%5Ctext%7B%20in%7D%5E3)
The volume of the cone is approximately 769.7 cubic inches.
Answer:
Anita age- 7 years old and Basilio is 2.5 years
Step-by-step explanation: