(а) f(х) > 0 (b) f(x) < 0 3 2 -4 -3 -2 3 4 5 х X= -1 X= 2 2.

Q: 2) f(x) = xx| - T <x<T Ans. Odd

A: the given function is  f(x)=xx

Q: 0, 0<x<1/n, fn(x) = { /n, 1/n < x < 2/n, 2/n < x<1. 0,

A: Pointwise convergent:- A sequence of function is pointwise convergent, if its every point sequence…

Q: * 2.4 y+- 2v3 If + = xy then ,y' x+ 2 TO FO * 2.1 x-1 + The f(x) = Undefined at x = -3 3-х TO FO 3.

A:

Q: 1-х 26. f(x) =- х+2 27. /(х)- Vx* - 3

A:

Q: O ) -. x- -2 46. f(z) = 1/x. - -2 fe) = V3r + 1, x=0

A: Given: 44.  f(x)=x2,  x=−246.  f(x)=1x,  x=−248.  f(x)=3x+1,  x=0

Q: y 3.0f (1, e) 2.5 2.아 y-e* 1.5 1.0 /y = xe² 0.5 -1.0 -0.5 0.5 1.0 1.5 2.0

A:

Q: f (x+h)–f(x) ,h+ 0 h fx) = -10x + 3h - 12h f(x) = 6xh + 3h - 5h O ) = 6x • 3h -5 fx) = 6x + 3h + 5

A: Let's find.

Q: a+, 3. f(1)=1** +a cosh /21 +bsinh /21 f(1) =2cos" (21) +e² 4.

A: The Laplace transform of the function f(t) is defined as Lf(t)=∫0∞e-stf(t)dt, since the dimension of…

Q: 19) 1+ V3 mult. 2 A) f(x)= x* – 7x' + 8x + 4 B) f(x) = x* – 4x³ + 7x² + 8x + 4 - - 3 = x* + 4x' + 8x…

A:

Q: 4 (iv) F(s) = s2 +9 2s + 16 (v) F(s) : s2 + 4s + 20 3s – 15 (vi) F(s) %3D 2s2 – 4s + 10

A: The Laplace transform of a function is an integral that converts the real variable into complex…

Q: Evaluating a Function In Exercises 31–34, completethe table.

A: Function: 31. f(x)=-x2+5f(-2)=-(-2)2+5 f(-2)=1f(-1)=-(-1)2+5…

Q: 13. f(x) = {1 + x, 1, -5 <x <0 0 sx <5

A: Fourier series

Q: x² – 1, | 2x |– 2x+4 |0 -1<x<0 3. f(x)=< 0<x<1 if at x = 0, x=1 and x=2 1<x<2 23x <3 x<1 4. g(x)=…

A:

Q: Complete the table.

A: Given;

Q: In Problem,match each graph to one the following functions.

A: as per bartleby policy , I am solving first 3 question. for rest you need to put another question.

Q: if f(x)={ -3x       for x -1  find f(-2)  a. -6 b.9 c.6  d.-1 e.0

A:

Q: In Problems 51–66, find the domain of each function

A: since we answer only first three sub-parts so we will answer first three. Please resubmit the…

Q: O f(x) = x² + 2x - 8 x + 4 f(x) = x – 2 x² + 2x – 8 - f(x) = с — 2 Se-2) (x + 4) = x + 4 O f(x) = x…

A:

Q: Find S'(-1) if #(f(x))'+ 9z°f(x) = 2 and f(-1) = 2 I'(-1) =

A: To find f'(-1) first we differentiate both sides of  the given equation with respect to x and then…

Q: Graph the functions in Exercises 25–28.

A: "Since you have posted a question with multiple sub-parts,we will solve the first three sub-parts…

Q: -21-5 5. L {f(t)} where f(t) = e-s

A: We have to evaluate the Laplace transform of the function ft=e-2t-5. We have to use the properties…

Q: A-l1* Px = \* F« = X*(\E – 1)-' Px 1 = A*. X(1+A) – 1° -Pk 1 (1 A - 11+ XA/(A – 1) 1 1 X- 1 (A – 1)²…

A: We have to explain Binomial expansion :

Q: 21 11 f(x) dæ f(x) dx f(x) dx - 8, where a = and b ...

A: The given integral equation is ∫821fxdx-∫811fxdx=∫abfxdx.

Q: 7. f(x) = 33x 8. f(x): == 9. f(x)= e²ln x 1 10. f(x) = cos r

A:

Q: 1) f(x) = |x], g(x) = -|x| + 3 2) f(x) = VF g(x) = V-2(x + 3) 3) flx) = |x| g(x) = 3|x + 2| 4) f(x)…

A: Topic- function  Note- : as per our guideline we have to answer only first three subparts because…

Q: In Problems 39–46, show that 1f ∘ g2 1x2 = 1g ∘ f2 1x2 = x.

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: -2 1 Find / f(x)dxif / f(x)dx = 2 and 3 -2 3 fro f(x)dx - 6. 1

A:

Q: 59. (а) у 3 f(x) + 1 (b) у -- fo) - 1 (e) y = 25) y =f(x) (-1, 2) (0,0) (-2, 0) (2, 0) Ia.-2)

A:

Q: 32. f(x) = /1 – x and g(x) = 4 - x2 33. f(x) = V4 - x² and g(x) = sin(x) ne functions

A: Concept - used the formula  F+G=F(x)+G(x) F.G=F(x)*G(x) F/G=F(x)/G(x)

Q: 7. (a) f(x) < 0 X= -1 X = 1 (b) f(x) 2 0 41 y. 3 y = 0 -3 3- -3

A: Graph of the function is given we have to finda) f(x)&lt;0b) f(x)≥0

Q: 44. f(x) f(x) == // 4-x x²-16 47. f(x)=- +² x²-4 45. f(x)=- x-1 x²+x-2 48. f(x)=- 2+x x²(1-x) 46.…

A: To find the vertical asymptotes of the given functions.

Q: 26. f(x) =-3x +2x –x +4 27. f(x) =x* -8 A 28. f(x) =x° -2x - 3x +x -x +10x+2 29. f(x)= 4x +3x -x -…

A:

Q: .4 4 f(x) dx, where f(x) is denoted by f(x)= 2 , xs2 3x ,x>2 O 16 O 20 O 4 O 30

A:

Q: 15. F(p) 3D (5 р — 2)(3р — 1) 16. g(x) = (/x+ 5x – 2)(Jx – 3/x) %3D 17. y = 7. 18. y = (x - 1)(x –…

A:

Q: 5. f(x)=2(x- 2)*– 1 10 4 46 810 -10-8-6 -4-2 -2- -4 6, CO

A:

Q: -1.5 -4.5 -1.5 Let [ f(x)dx = 5, |_^*^* f(x)dx = 6, [*¹*³ f(x)dx = 5. -6 -6 Find and -3 [²₁ f(x) dx…

A: This question is related to definite integration, we will solve it using given information.

Q: f(x) = x* + 3x2 - 6 avenge Spe : fro-fa) [0,5] f(s) = 5":5-25-6 : 694 694+6 760 %3D 140 %3D b-a 5-0…

A: on using Newton rephson method we can solve this equation

Q: -2 27. The first derivative of y = is (4x+1)3 а. -24 b. 24 C. -6 d. (4x + 1)* (4x + 1)* (4x + 1)*…

A:

Q: 1 Let f(x) = 5x° - 9x - 3, x2 1.5. Find the value of - df at the point x= 1271 = f(7). dx

A:

Q: 1°- 4+ 4r2 -4 dr Co T. (1²-1)(r²+2r+2)

A: Indefinite integration is the backward process of differentiation. Through integration, we find a…

Q: 2y''' - 3y'' - 3y' +2y =(e^x + e^-x)^2

A: We have to solve the differential equation  For which we first solve the homogeneous equation and…

Q: 1. f(x)= 4x – 3 2. F(x) = /1+x 3. G(x)=|1 – 2x| 4. h(x) - х* +3 х?- 2х +1 5. f(x)= X-1

A: We have to find domain and range of given functions.

Q: Graphical Reasoning Use the graphs of f andf −1 to complete each table of function values.

A: Given two graphs of f and f-1, we need to complete the table. From the graph it is easy to find…

Q: 12. f(x) = x² (2x + 1)*(x – 3)* y-1) y² + 1 AR 13. 14. ya 12+ 4 x 15. y +2 x+ 1

A: 12) f(x)=x2(2x+1)3(x-3) 5 13)x=(y2-1)2/(y2+1) 14) y=[12x1/3+4x1/2]/x1/4. Repost the next part.

Q: In Problems 37–48, determine algebraically whether each function is even, odd, or neither.

A: 37. A function f(x) is even if f(x)=f(-x) for all x in the domain of the function. A function is…

Q: |x + 2, x> 0 讨论函数f(x) = 在x=0的连续性. х — 2, х <0 -

A:

Q: 2x + 1 xp- (3x – 1) (x² + 2x + 2) Evaluate: (A) F (x) = 2 In (|3x – 1|) – In (x² + 2x + 2) +4 arctan…

A: This is a problem of Integration of the function. Based on the general formula we will answer the…

Q: (2, x>-3 2. f(x)=-5, x1 10 8 6 6 8 10 -10 8 6 4 21 2 4 6 8 10

A:

Q: dæ Evaluate: æ/9x² + 4 9x2 + 4+ 2 + C V A f (x) = -4 ln 3.x f (x) = -2 ln V9x2 + 4 + 2 + C None of…

A:

Q: 2. Solve for x O (x – 4)(x + 7) =0 d) x - 12 = 37 g) x = 10x b) 2x(x + 8) = 0 e 9x = 25 c) x = 4 4x…

A: To determine:Solution of the following equations 1. 4x2=4 2. x2-4=32