John boards a ferris wheel at the 3-o'clock position and rides the ferris wheel for multiple revolutions. the ferris wheel rotates at a constant angular speed. let h represent john's height above the center of the ferris wheel (in feet) and let t represent the number of mintues since the ride started. a. suppose the radius of the ferris wheel is 20 feet and the ferris wheel rotates at 1 radian per minute. plot the relationship between h and t for this scenario. 20- 1o -10 -20 ear all draw: b. now, suppose the radius of the ferris wheel is 20 feet and the ferris wheel rotates at 2 radians per minute. plot the relationship between h and t for this scenario. 30 20- 10 10 20 ear all draw c. now, suppose the radius of the ferris wheel is 25 feet and the ferris wheel rotates at 2 radians per minute. plot the relationship between h and t for this scenario. 30 20 10 20 r all draw:

Step-by-step explanation:

From the information given:

y' = y - x²

y' - y = -x²  

This is a first-order linear differential equation of the form y' + p(x)y = q(x)

Thus, y is dependent and x is said to be the independent variable.

xy' = 2y

This is also a first-order linear differential equation with y as the dependent variable and x as the independent variable.

x'' + 5x = e⁻ˣ

This is a second order non-linear differentiall equation.

Here, x is the dependent variable, and since the independent variable is not given, we will take t as the independent variable.

Equation       independent     dependent      order           linear/non linear

                     variable             variable    

y' = y - x²           x                         y                      1                  linear

xy' = 2y              x                         y                     1                   linear

x'' + 5x - e⁻ˣ       t                          x                      2                non-linear

Why this is true for (c) i.e. being non-linear is that; in the above two first-order linear differential equations, we will notice that the dependent variables and their derivatives are not multiplied together, but in the third equation e⁻ˣ which is not the first degree, the case is different as