warehouse location (24,-32)
airport location (-24,32)
distance = sqrt((x2-x1)^2 +(y2-y1)^2)=
Sqrt(24--24)62 +(32--32)^2) =
sqrt(48^2 +64^2) =80
then distance from airport to the factory = -24 to 24 = 48
80+48 = 128 miles total
Answer:
842.04 cm³
Step-by-step explanation:
Cylinder:
diameter = 6 cm
r = 6/2 = 3cm
h = 4 cm
Volume of cylinder = πr²h
= 3.14 * 3 * 3 * 4
= 113.04 cm³
Cube:
side = 9 cm
Volume of cube = side * side *side
= 9*9*9
= 729 cm³
Volume 0f composite figure = volume of cylinder + volume of cube
= 113.04 + 729
= 842.04 cm³
Answer:
Step-by-step explanation:
Divide both sides by 
:
Substitute 
, so that 
.
Multiply both sides by 
:
The left side can be condensed into the derivative of a product.
Integrate both sides to get
Solve for 
:
Solve for 
:
![\implies\boxed{y(x)=\sqrt[3]{\dfrac14x^2e^x(2\ln x-1)+Ce^x}}](https://tex.z-dn.net/?f=%5Cimplies%5Cboxed%7By%28x%29%3D%5Csqrt%5B3%5D%7B%5Cdfrac14x%5E2e%5Ex%282%5Cln%20x-1%29%2BCe%5Ex%7D%7D)
