27. S y > 2x – 3 ly < -x + 6 28. (y < -2x + 4 ly < 29. (x + 2y s< 4 ly 2 x - 3 31. (x s 2 ly = -1 33. -2 4 lx + y < -1 36. (4x – 5y 2 -20 lx 2 -3 38. х + у > 3 lx + y < -2 40. (x + y > 3 lx + y > -2 39. (x + y > lx + y > -1 4 x - y < 2 x 2 -2 41. 42. ( 3х + у — 6 {x 2 -2 y< 4 y < 3 43. 44. In Exercises 23–46, graph the solution set of each system of inequalities or indicate that the system has no solution. y 2 0 2x + 5y < 10 3x +4y s 12 y 2 0 2х + у 4 2х - Зу - 6 23. [3x + 6y < 6 |2r + 24. Sx - y 24 lx + y < 6 3x + y < 6 2х - у -1 x 2 -2 45. 46. 2x + y < 6 ys 8 x + y 2 2 1sx< 2 25. (2x – 5y s 10 (3x – 2y > 6 S2x – y< 4 (3x + 2y > -6 26. 4 ys 3

Q: Factor x* + 1 as a difference of squares by first adding and subtracting the same quantity. Use this…

A:

Q: Differentiate. x4 y: 3 — х3 y' У -

A:

Q: Solve for X. X = 1 1 -8 7 8 [6 8 43-64-4 X = I.

A: The addition and subtraction of two matrices A and B are defined only if A Nad B have same order.…

Q: Differentiate y = 3e2x/(1 + x2.)

A: y=3e2x1+x2

Q: Find dx 1. y = x* 2. y = x7 3. y = -0.5x 4. y = -3x 5. y = 7 6. y = 12 7. y = 3x10 8. y = 2x15 9. y…

A: Authoring guidelines:…

Q: y is initialized with 90 and multiplied by a factor of 4 each time x increases by 1 1. y = 90 + 4x.…

A: here option (4) is true

Q: Calculate y" and y'. y = 0²(20 + 4) y" = y" : II

A: Given function is : y = Ѳ2( 2Ѳ + 4)

Q: y = 5t2 - 2t + 4 -'(t) =

A: The given function is y=t25t2-2t+4. We have to find the derivative of the given function. The…

Q: , (х, у) (0,0) x+y f(x.y)%3D (х, у) (0,0)

A:

Q: graph of (x) = x' - 2 is shown in the figure. Find 6 such that if0 2 ]x - 4] 2 8, then IAX) - A. ô =…

A:

Q: Differentiate. y=/3x² – 4 -3x y' = 3x - 4 3x y' = (3x2 - 4)-1/2 3 (3x² – 4) /2 3x V3x2 – 4

A:

Q: 15. /7.- dt 16. x+ 3 dx P + f - 21 2r - &r

A: Solution:Given      ∫dtt3+t2-2tFormula:∫dxx=log x+C

Q: Show complete solution with figure. 1. At what points does the curve y=4x–x^2 slope of 4. a. (0,0)…

A:

Q: duc

A: Given, 4.x8y5z7x2y4z 5.a4ba7b2 6.-2x37x5-3x2

Q: Find the amount of a 6% acid solution and the amount of a 14% acid solution Pat Mayfield should…

A:

Q: Differentiate. et y = 8x2 y' =

A: Given:- y =ex /(8x2)  To find:- y'

Q: Simplify the expression xyz + x’y + x’y’

A: We have to simplify the expression xyz+x'y+x'y'.

Q: Solve for x. Express your answer using interval notation. x' -7x+6<0

A:

Q: 11. X' -2 1 (-²¹) × X -5 4,

A:

Q: V24x'y³ • J50x² y° V40m²n • V50m n V28.x*y" 7xy 4 V42 75.xy* V3x 5. 3. 4.

A:

Q: Let y = xbex (where b is a real number). Determine y'.   Let y = (3x + 6)/(6x + 12). Determine y'.

A: given y=xbex to find the derivative y' use the product rule uv'=uv'+vu' therefore,…