Given dr -y? + 2y + 15 (a) Sketch the phase line (portrait) and classify all of the critical (equilibrium) points. Use arrows to indicate flow on the phase line (away or towards a critical point). (b) Next to your phase line, sketch the graph of solutions passing through the given points: y(0) = -4, y(0) = -3, y(0) = 1, y(0) = 6 (c) Find lim y(x) for the solution satisfying the initial condition y(0) = 5. dy (d) State the solution to the initial-value problem = -y² + 2y + 15, y(0) = 5. dr

T5. Given the function f(x) = (x-3)" + 3, how many x-intercepts will it A have if n - 2k + 1, {kE N} 0 x-intercepts 1 x-intercept It's impossible to know without more information 2 x-intercepts

1. If g(x) = √x − 7 , find the following. Show your work.a. g(8) b. g (32) c. g (0)

c and d please

With the equation f ( x ) = | x | , reflect it about the x-axis, vertically compress it by 1 / 2, shift it to the left 3, and shift it down 1.

Please solve no. 27 in the photo

For f(x) = 2x -8x + 4 find the following (A) The equation of the tangent line at x= 1 (B The value(s) of x where the tangent line is horizontal rses (A) At x= 1, the equation of the tangent line is y = Home (B) The tangent line is horizontal at x= (Use a comma to separate answers as needed.) lere dar of Deadl ra Review (O cer 2 ter 3 erm Exam mation oter 4 pter 5 - 6 al Exam Inform w My Grades N Do I Withdra s Class? Enter your answer in each of the answer boxes. ultimedia Librar e Type here to search

My question is, Given G(x)=5-x2, evaluate y(x+h)-g(x)/h (The h is the denomenator for y(x+h)-g(x)), h=/0. (The line is supposed to go through =). I am honestly not even sure where to start.