Suppose that we use Euler's method to approximate the solution to the differential equation dy x y(0.4) = 1. =-; dx y Letf(x, y) -x1/y We let xo 0.4 and yo 1 and pick a step size h- 0.2. Euler's method is the the following algorithm. Fromxn and yn, our approximations to the solution of the differential equation at the nth stage, we find the next stage by computing xn+1-xn + ?, ??+,-?, + h .fon,%). Complete the following table:
yn 0 0.4 1.08 1.22814 4 1.2 5 1.4
The exact solution can also be found using separation of variables. It is
y(a)=
Thus the actual value of the function at the point
x 1.4=

An airplane consumes fuel at a constant rate while flying through clear skies, and it consumes fuel at a rate of 64 gallons per minute while flying through rain clouds. let c represent the number of minutes the plane can fly through clear skies and r represent the number of minutes the plane can fly through rain clouds without consuming all of its fuel. 56c+64r < 900056c+64r< 9000 according to the inequality, at what rate does the airplane consume fuel while flying through clear skies, and how much fuel does it have before takeoff? the airplane consumes fuel at a rate of gallons per minute while flying through clear skies, and it has gallons of fuel before takeoff. does the airplane have enough fuel to fly for 60 minutes through clear skies and 90 minutes through rain clouds?

Given f(x)=2x^2-8x+6 and g(x)=3x-1 find f(x) +g(x) a. 2x^2+5x+5 b.2x^2-11x+7 c. 2x^2-5x+5 d.2x^2-5x-5

Issof claims that the scale factor is 1/2. which statement about his claim is correct