4pts each) 16. Integrate the following: x+2 *** x - 4x 11) | Vxsin (2x2) ii)...
Integrate the given expression. ſ(2x + 4)2 dx 4x3 + 16x2 + 4x + c 8x+ 16 + C x3 +8x2 + 16x+C x3 + + 4x + C
Verify that the equation is an identity. sec *x-tan 4x = 2 sec 2-1 To verify the identity, start with the more complicated side and transform it to look like the other side. Choose the correct transformations and transfer sec 4x-tan 4x = sec?x + tan x) Factor the difference of two squares. O(secx+ tanºx) (Type an exact answer in simplified form.) Choose an identity, and use it to transform tan-x. Then simplify. = 2 secx-1 7
7. Evaluate each of the following limits. tan x e-4x -e 4x a) lim x0 2x b) lim XOCOS X+1
Differential equation In Exercises 16-20 find the power series in x -o for the general solution. 19. (11- 8x + 2x2)y" - 16(x - 2)y' 36y 0 In Exercises 16-20 find the power series in x -o for the general solution. 19. (11- 8x + 2x2)y" - 16(x - 2)y' 36y 0
4pts each] 9. Find the limit of the following if the limits exist. If not, explain x -3x+2 1) lim +4 r-1 11) lim 111) lim + 3x + 4 iv) lim :-*x-4 v) If 2x-15g(x)=x-2x+3, find limg(x)
cos'x dx sin 3x dx 2. an 45 sin cos'xdx 4 sin'xcos'x dr 44 sin'x cos'r dr 6. sin'xcosx dx 8. Jo sin'x cosx dx fa-sin 2x)' dx sin x + cos x dx 10. 9 f sin'z dx cos'x sin'x d 12. 11 sin'x Vcosx dx 14. 13. cot'r sin'x dx 16. cos'x tan'xdx 15 dx sin x dx 18. 17 1-sin x cos x tan'x dx 20. tanx dx 19 sec'x d sec'x dx 22. 21 tan'x secxdx...
Exercise 3.3: Nonlinear equations 1. Find the zeros of the following functions graphically: b) g\left(x\right)=2x^2-4x-16 4 c) For the following function determine if x = 1 is a root: 5. Find the rational roots, if any, of the following: b) 8x^3+6x^2-3x-1=0 6. Find the equilibrium solution for each of the following models: a) Q_d=Q_s Q_d=3-P^2 Q_s=6P-4
Let f(x,y) = 2x2 - 4x + y2 - 4y +1. 1) The number of critical points of f is: a. 0 b. 1 c. 2 d. 3 Оа. Ob. Ос. Od 2) The point (1,2) is: a. a local maximum forf b. a local minimum forf a saddle point for c. Оа. Ob Oc. Let1 = f'secx dydx. .) The region of integration of I is represented by the blue region in b O a Od 2) By reversing...
Determine the point at which the graph of 2x2 + 4x + 2 F(x) = x2 + 4x + 7 intersects its horizontal asymptote. (x, y) = (
0 I need help with 30,33,35,36,37,38 the instructions for 30 and 33 are. find the vertex and any two convenient points to sketch the graph of the follwing functions - -**+- 2 -(x + 2) + 1 21. f) 30. FOX) -- М. 31. g) 3 32 g(x) = 2x2 + 4x + 3 33. g(x) = -2x + 8x - 3 34. g(x) = -3x + 6x For each of the following equations, find the coordinates of the vertex,...