Exercise 4: Consider the differential equation f'(t) = f(t)³ – f(t) (a) Find all constant solutions. (b) Sketch the graph of f' as a function of f. (c) Using part (a) and part (b), sketch the graph of all solutions f as functions of t.

Q: John can finish a job alone in 5 hours. Jack can finish the same job alone in 6 hours. How long does…

A: John can finish a job alone in 5 hours. Jack can finish the same job alone in 6 hours.

Q: Find the positive number which gives the smallest answer when you add its square to 16 times its…

A: Let the number is x So,  when I add its square to 16 times its reciprocal, then I get: We have to…

Q: Deanna can finish a certain job in 10 days. Jessica can finish the same job in 14 days. If Deanna…

A:

Q: Solve for x -x + 5 2x | 21 28

A: Given the query is to find the value of x.

Q: 3 x 2 6x + 5x = 0

A:

Q: Solve  ex =e4x+1.8

A:

Q: Emmy can type at a constant rate of 1 page every 4 minutes. If she has to type a 5-page article, but…

A: Emmy can write at a constant rate of 1 page in 4 minutes. Hence she will take 5 ×4 = 20 mins two…

Q: Why do we make the equation =0 to begin with?

A:

Q: Solve  x - 0.001x = 9990

A: Given expression is: x-0.001x=9990

Q: Simon is a third of his dads age. In 12 years his dad will be twice as old as Simon. What are their…

A:

Q: 17x=1mod2   solve for x

A:

Q: The tank can be filled with water from two taps. The first tap fills the empty tank in 2 hours less…

A:

Q: Solve -5 -2 x = [²5 ²3²] * 31 x x' 8

A:

Q: The number of insects attracted to bright light is currently 8. If the number is expected to…

A: Lets say initial quantity is A0 =8

Q: Solve for x. 25x - 17 = 8 X =

A: Given that 25x-17=8. Solve the above equation as follows.