How : For what values of a, b is gu)-ax+bx, x 23a-b, ocX<2 X72 3X-5 continhows...
Find all values x = a where the function is discontinuous. 3x - 5 if x < 0 f(x) = x2 + 5x -5 if x 20 O A. a = 0 OB. Nowhere O c. a = 5 OD. a = -5
Evaluate the following integrals. Integral x*ln(x^2+3x+2)dx 2. (8 points) Evaluate the following integrals. Answers without supporting work will re- ceive no credit. (a) (5 points) | < ln(x2 + 3x + 2) dx
Could someone explain how these to get these phase portraits by hand with ẋ=y and ẏ=ax-x^2 especially for a=0 case where you have eigenvalues all equal to zero? 6.5.4 a>0 Sketch the phase portrait for the system x = ax-x, for a < 0, a = 0, and For a -(0 We were unable to transcribe this imageFor a>0 ES CS
5. cot? - 3 = 0 find values 0º < 0 < 360° 6. sin(3x) = 1 find values 0 SX S2
Find, with justification, what the absolute maximum value of f(x) = x3 – 3x on the set of real numbers x satisfying x4 + 36 < 13x2. If time does not permit you to finish this question during the exam, please submit what you have and briefly explain what you would have tried.
12. Suppose f(x) is defined as shown below +3 if s 2 f(x) = 3x if x <2 Determine whether or not that f is continuous at 2. 13. Evaluate the following limit.
3x +2 <0 and 4x -320
A function is defined as follows: y = X + 6 x² 3x + 1 X<-2 -2<x<3 x > 3 For which x-values is f(x) = 4? Select all that apply 0-2 1 2. 13 e here to search
Given the following piecewise function, evaluate f(-5). I < -4 f(x) = . 1-42 -3x (x² – 2 -4 < x < 0 0<x
Find the partial fraction decomposition. (HINI 3x + 12 x² + 3x For resta decomposition nr: <*t3x =(xXx+]