The gas tank in felizs car is 5/6 full each time he drives to or from work he uses 1/12 of a full tank of gas which equation rep

Response:9/10/3/5

Detailed explanation: because... believe me

The question is:

Examine a differential equation expressed as

y′ = f(αt + βy + γ),

where α, β, and γ are constants. Employ the variable change

z = αt + βy + γ to reformulate the differential equation as a separable equation of the type z′ = g(z).

Answer:

The equation

y′ = f(αt + βy + γ)

can be rephrased as

dy/dt = f(αt + βy + γ).

Our goal is to rewrite this differential equation in the form

z' = g(z), that is dz/dt = g(z).

First, be aware that

dz/dt = (dz/dy) * (dy/dt)...................(1)

Utilizing the substitution

z = αt + βy + γ

as specified,

dz/dy = β..........................................(2)

dy/dt = f(αt + βy + γ) = f(z)............(3)

From equations (2) and (3),

dz/dt = β.f(z) = g(z)

Thus,

z' = g(z)

Where g(z) = βf(z).

It should be 94, I hope this provides assistance

Greetings!

The conclusion is:

The return trip will take 18 hours.

Reasoning:

To determine the duration of the return journey, we must calculate the distance from the destination back to the starting point.

The ship travels at 15 miles per hour (mph) over 6 hours, yielding a distance of:

The distance from the starting point to the destination is 90 miles, and for the return trip, the motor operates at a speed of 5 mph. Thus, computing the time taken gives us:

Consequently, the return trip will take 18 hours to complete.

Have a nice day!

Step-by-step explanation:

The difference quotient represents the slope of the line connecting two points on a curve. To achieve the most accurate estimate, we need to use points that are nearest to x = 0. For this problem, the relevant points are (-0.001, 1.999) and (0.001, 2.001).

m = (2.001 − 1.999) / (0.001 − (-0.001))

m = 1