A portion of the direction field for the differential equation 17 1 1 /// // 1 dy dt = f(y) is shown below: 1/8 /// The dotted horizontal line has equation y = 9. Fill in the following chart to indicate the behavior as t→ ∞ of the solution y(t) of the differential equation corresponding to each initial condition yo.

Q: dy Assume x and y are functions of t. Evaluate for the following. dt y²-9x³ = -31; dx dt = -6, x=2,…

A:

Q: Find the equilibria of the differential equation, and construct the phase plot: y' (y − 3)(y – 5).…

A:

Q: Let y = tan(5x + 2). Find the differential dy when x = 2 and dx = 0.3 Find the differential dy when…

A:

Q: Complete the sentence below. Iff is a one-to-one function and f(3) = 6, then f(6) = If f is a…

A: One one functions

Q: Let y = 5x2. Find the change in y, Ay when x = 1 and Az = 0.3 Find the differential dy when x = 1…

A:

Q: Find dy/dx for the equation xy − y − 1 = 0 by implicit differentiation.

A:

Q: Let y 3x². = Find the change in y, Ay when x = 1 and Ax = 0.4 Find the differential dy when x = 1…

A: