f(x) 5 -4 -3 十2 十 -2 -1 1 到 -2 +3

Q: y - 4z = O X + y -4z = 0

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Q: 2x - 3x + 13x+a if x#2 f(x) = . X-2 b if x = 2

A: Solution:- It is give that f(x) is continuous at x=2  and the given function is  f(x)=…

Q: Determine. '{F}. 4s2 + 3 sF(s) – SF(s) – 2F(s) = - s + 4s

A: Rewrite the given equation.

Q: SV) ="(3y² Sh(3y² + 2) ; -2<ys2 0; otherwise

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Q: S)-(4r' -2r² +3x)(A+--3) Find f"(x).

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Q: valuate the X = (3-9) JJ²

A: We solve by using double integral.

Q: Determine L-1{F} if -3s2 + 20s – 25 F(s) (8 – 3)(s² – 2s + 5)'

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Q: х2 -Зх-6 34. f(x) = 3x

A: To find the derivative of f(x)=[x²-3x-6]/3x

Q: Determine £¹{F}. F(s) = 2 4s - 18s +2 s(s-4)(s-6)

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Q: 3x-4 x > 1, f (x) = 0, elsewhere.

A: Given: fx=3x-4   x&gt;1

Q: Q1/ Determine 2s2+3s-4 1. F(s) = (s-2)(s²+2s+2) 1 2. F(s) = 3(s²+1)

A: To Determine :-  1. F s = 2s2 + 3s - 4 s -2   s2 + 2s + 2 2. F s = 1s  s2 + 1

Q: 3) -x² – 4x + y + 3 = 0 -x? - 3x + y + 3 = 0

A: Given that: -x2-4x+y+3=0             ..........(1)-x2-3x+y+3=0     .........(2)               NOTE:…

Q: f'(x) -6 /5 -4 -3 -2 -1 1 2 13 4

A: Recall: Suppose that x=a is a critical number of continuous function f(x): if f'(x) changes from…

Q: 28. f (x) = 2*-2

A: This is a question on algebraic transformations of functions.

Q: Evaluate fx²e¬*dx A. -x2e-x – 2xe-x – 2e-x+c B. x²e-x – 2xe=x – 2e-X+C с.-х?е-х — хе-х- 2е-х+с D.…

A: ∫x2e-x dxBy using integration by parts=x2∫e-xdx -∫2x∫e-xdx=-x2e-x+2∫xe-xdx

Q: -글x + 4)2-3 (c) h(x) |

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Q: 0- V5 – x – V5+: -

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Q: Cco s 2x -2) Differentiate y= 3x e 2.

A: The objective is to differentiate y=3x2ecos2x-22

Q: -4 y=름 (x+3)2 3 -2 -1 4 3 2 1 。 -1 -2 -y=3 ↑ y=0 1 -y=큼(X-3)- 2 3 A

A: We need to find area of the bounded region (A) and moment of area about x-axis (Mx) and y-axis (My)…

Q: 5. f(x) = -2(x + 4) ty -2 이 4 4 6,

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Q: y A 20 16- 12 - 4. + + + + + + -5 -4 -3 -2 -1 -4- 3 4 5 X -8+ -12 2. CO

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Q: 6 - y = (x +(x - 1 -+ 1)

A: Here we have to find the derivative of 6-y=x+1xx-1x+1 ⇒6-y=x+1xx-1x+x+1x⇒6-y=x2-1x2+x+1x      using…

Q: - fo) = [2x +13, find f(-3,2)

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Q: 2x?-8х+7 x 0 x-6x3

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Q: x = 2y X=y-8 -12 12 -8-

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Q: X1 Xi + 2x3 , X1, X2, x3 ER – 4.x2 T: R³ → R², T x2 X3 - x3 ||

A: So first we prove that the given transformation is linear

Q: x³-y²+z³ = 24.

A: F( x,y,z) = exyz f(x) = ∇f = (yzexyz , xz exyz, xy exyz ) λ∇g =  g(x) = 3x2 , g(y) = -3y2 , g(z) =…

Q: x- y=-2 2.x + y = 1 -41 4 -2 -6 -5 -4 -3 -2 -10 1 2 3 4 5 6 --3 -2 -10 1 2 3 4 5 6 -2 -2

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Q: y> r – 1 y -2x 1 O A. y 4 +++X 4 -4 -2 2- -4 y O B. 4- +++X 4 -4 -2

A: We will solve the problem

Q: e-7x - 2e3 et f (x) = e- *+16e10* + 2e-4z

A: (a) Consider the provided limit, limx→-∞e-7x-2e3x-exe-x+16e10x+2e-4x Evaluate the provided limit.…

Q: 21. X -2 -1 0 1 y -1 -4 2. 1/2 2. 1/2 2.

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Q: -x - y = -13 -x + 3y = 19

A: Here is given two linear equations;   -x - y = -13 -x + 3y = 19    To solve it; Put    -x=y-13…

Q: F) = X- 3 x² 2x-4

A: on differentiation we get

Q: [x, y]²=[-1,0]=-1

A: We have [x,y]^2=[-1,0]=-1

Q: fx+ h) – f(x) otient, fx) = -2r² - Sx – 8

A:

Q: y=F(x) -8-

A: We have to find limit of function F(x) with the help of graph:

Q: 30 y = f(x)| 10 -4 -20

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Q: F = 3 x 10-4³-4.4 x 10-³w²+3.93w+0.221

A: Given :

Q: Determine £-1{F}. - 3s - 9s - 2 F(s) = (s + 3) (s + 1)

A: Given Fs=-3s2-9s-2s+32s+1. We have to find the Laplace inverse of F, that is L-1F. We know that…

Q: (* + e-) - (2y – y³) e-2= y' = 0

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Q: 19. f(x)=x²-5

A: Topic = Functions As per guidelines , At a time only one question can be answered out of different…

Q: f(x) 8 -7 4 -3. -2- -7 -6 -5 -4 -3 -2 -1 0. 3. 6. 7. 9. 10 11 12 4- 6.

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Q: f(x) 5 -6 -4 -2 4 6 -5 - 10 2)

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Q: c) f (x) = -(0.75)4x+2 – 5

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Q: Find the y-intercept for the graph of the quadratic function

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Q: Q2 Ci+x)y =ソ-1 Y(0)=0 →yー1-e

A: To solve the given equation.

Q: 3. If f(x) = x - 2x -- 1, then f(-2) = A -11 -+ 4-7 13 /C -5 D -3 D

A: Find the value of f(-2)

Q: (-6, x<-4 10) f(x) = {0, -4 <x< 1 (-x-1, x2 1 | 4 y 6|+|セ 2

A: topic - sketch of a function

Q: f(x)=-3x-2 1) f(3)=? 2) f(-7)=? 3) f(2)+9=?

A:

Q: Evaluate the principal value of (-3-j5)(-1.23+j2.1)

A: Answer: Option 3 : 9.6283+j0.1568