Q6/ If a = (3,1, 2) , b = (-1,1,0) and c (0,0, -4), show that a x (b x c) # (a x b) x c %3D

Q: Find 版+7V d 3 C. 3 Vx4 + 4 Vx7 + c 25 x4 + 4 Vx7 + C 20 3 3. Vx3 + 4 Vx4 + C Vx3 20 + 4 Vx4 + C 25 O…

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Q: 3. ARV is described by: *+Y, 0<x<2,0< y<2 8. f(x, y) = 0, otherwise. Find VAR((X+Y)/2)

A: Given function is f(x,y)={x+y8 ; 0&lt;x&lt;2,0&lt;&lt;20   ,        otherwise

Q: Min Z=4X1+X2 S.TO 3X1+X2=3 4X1+3X2>6 X1+2X20

A: We are given the problem,

Q: 2k 2k +2 3k +1 3k +4 k=1 2 а) 3 b) 0 c) 6 1 d) e) Diverges. ||

A: Given series is  ∑k=1∞2k3k+1-2k+23k+4 where ak=2k3k+1-2k+23k+4 the above series is telescopic…

Q: 4b² + = 2 b2 1 8b3 + b3 Presh Talwalkar 1.

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Q: 3 and V₂ = Find A.

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Q: 4. the asteroidx3 2/3 +y/3 2/3 = e

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Q: f(x) = x³ e* on [-1 , 5]

A: Let the function be f(x)=x3e-x. Differentiate the function with respect to x implies,…

Q: Sketch the graph of the function.

A: Definition used -               The domain of square root function -  We know that number inside…

Q: 2t3 2. Evaluate dt (4 – 2t4)11

A: We have to solve the integration

Q: 2s-3 Find Ll4s+5 s2–4s+5 |

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Q: f(x) = -x² + 6x – 3, [1,5]

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: (5D3 — 51D2 + 135D — 25)у %3D0 A. y = ce0.2x + Cze5x + C3xe5x B. y = ce0.2x + c2xe0.2x + C3e5x + Cze…

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Q: 9. If f(x) = e3x, then (f-1)'(x) = %3D 2 А. e3x В. e3x 1 С. 3e3x D. 3x

A: Given: y=e3x for finding given derivative, first we find inverse of given function for that we take…

Q: s2 -4 +3 , x = 3s v2s +1 u =

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Q: fx+1, x<-4 + 1, 9) g(x) = %3D x-4, x2-4

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Q: E(-4X + 4) = | 5z - 4X - 0 %3D 4 Var (sz) + 5 0 E(2x*) - I

A: Given,  E(X)= -6 E(Y)= -9 E(Z)= -7 V(X)= 32 V(Y)= 38 V(Z)= 37

Q: CLions are shown. 3 A: g (x) = *+4 --x+4 B: f (x ) = (x + 2)(x + 6) h(x) C:

A: We are given functions: A.g(x)=-32x+4B.f(x)=(x+2)(x+6)and C.  for which we need to find which of the…

Q: 16. f (x) = 3 – |æ – 3|, [0, 6]

A: Explanation of the solution is given below...

Q: e. As x+, y =-3 x+2x-3x* → f. As x-2, y=4+5x →.

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Q: 3s² +5s+5 F(s) = (s3+8s²+19s+12)(s³)

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Q: d.A, A = {(x; y) E R² : y € [0, 1], x € [y², e-]}

A: Given: I=∫∫A1x34dA   A=(x,y)∈R2: y∈0,1, x∈y2,e-y

Q: The portion of z = 4 – x² above z = 0 and between y = 0 3 and y = 4.

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Q: 3. A = {x € Z +|x 3}|

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Q: Sx²-Vx+ 22 dx (30x2 - 528x + 7744) /(x + 22) A) (15x2 - 264x + 3872)(x + 22)3/2 B) 105 + C 105 (30x2…

A: ∫x2x+22 dx  ...(1)Let x+22=tdx=dtx=t-22x2=t-222Substitute these value in equation (1) we get…

Q: f(x) = -x² + ax + b, x < 2 (-ax + 7, x ≥ 2

A: Here we have to find the value of a and b such that,  f(x)=-x2+ax+b, x&lt;2-ax+7, x≥2 is continuous…

Q: 1 (s + v2)(s - V3)

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Q: 5 А. 3f(t) dt = ·8 -4f(t) dt 2 | В. 8 С. (f(t) + 4) dt =

A: Given, The graph of function f We have to evaluate the definite integral in part A, B  and C.

Q: (-2, –2<t<-1 f(t) = } 2, -1<t<1 . -2, 1<t< 2

A:

Q: (4+y- sy³)ldy Vỹ 3

A: To evaluate the given integral.

Q: max z = 3x1 + x2 s.t. 2x1 + x2 < 6 X1 + 3x2 < 9 X1, X2 2 ()

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Q: 2x1 - 3x, - 4x3 s. t. X1 + x2 + xX3 + S1 = 30 2x, + x2 + 3x3 - S, = 60 х - х, + 2х, X1 = 20 X1, X2,…

A: Let 2x1-3x2-4x3=Z The given problem is Min Z=2x1-3x2-4x3 subject to…

Q: (5D3 — 51D2 + 135D — 25)у %3 с A. y = c,e0.2x + Cze5x + C3xe5x B. y = c,e0.2x + c2xe0.2x + C3e5x +…

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Q: جر جدور المعادلة )و تكرارات ( f(x) = x- AX+3 )4ا,2]

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Q: 5-x 10' to receive from an insurance c f(x) = x = 1,2,3,4

A: The random variable x be the number of months with pdf is f(x)=5-x10,  x=1,2,3,4

Q: t < 0; 4. f(t){t, 0 <t < 4; t 2 4. rof (6,

A: As per the company rule, we are supposed to do only one problem. Kindly repost the second problem.

Q: (x2, f(x) = { ax + b, 3 s x s 4 [x+12, х>4 x<3

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Q: f(x) = - 4x - 2 on (- 0,0)

A: Given: fx=-4x-2 on -∞,∞ To determine whether the graph is increasing or decreasing on the given…

Q: GEOMETRICALLY WHAT ARE f(x, y) and f(x,y,z). CHOSE FROM OPTIONS BELOW.

A: Given data: The first function given is f(x,y). The second function given is f(x,y,z). The first…

Q: y = -x-4 X-y= -6 (-5,1)

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Q: х2 + ху; х-6, у 3D 7 X - y z = z =

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Q: S tan³ 6x sec10 6x dx 1 sec1²6x + sec1º6x + C 72 1 60 B none of the choices 1 -sec1²6x + 72 1 1…

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Q: - find x, y z Select one: а. X-3,у-2,z-1 b. x=3,y=-2,z=1 С. X-3,y-2,z-1 d. x=3,y=2,z=-1

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Q: 33. f(x, у) %3D хе", Р%3 (2,0)

A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

Q: min z = 2x1 + 4x2 + 3x3 S.t 3x1 + 2x2 + x3 10 X1,X2, X3 2 0

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Q: Min z = 5x1 + 2x2 2x1 + 5x2 2 10 4x1 - X2 2 12 Xi + X2 2 4 X1, X2 2 0 s.t.

A: plot the inequalities on the graph .  First plot 2x1+5x2≥10 by changing into equality

Q: F(s) = (2 (s+1)(s+2)²

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Q: Sx² +2, x 1' 7. If g(x) = then g'(1) is

A: x2+2 must be chosen since x in g'(x) is 1.

Q: Find an antiderivative. x² + 1 x2 - 5x - 6 |

A: Antiderivative means integration. Here, the method of partial fraction is used for integration.

Q: Max Z = x1 + 3x,+ 4x3+ 5 S.t. 4x1+ 3xz+ 2x3+x4<10 X1 – X3+2x4=2 Xi+x2+X3+X421 X1, X2 ,X3, X420

A: The given problem is: