-16 1Δίνεται η συνάρτηση f)- 2x+8x i) Ποιο είναι το πεδίο ορισμού της f i) Να απλοποιήσετε τον τύπο της f ii) Να βρείτε τις τιμές a) f(2), B)R4), Y) f(-4) KOL

Q: 22. Hr. u 2 200 versus Hr: u < 200, a = 0.05,x= 198, s = 5, n= 25 1) (z= -2.00, p-value = 0.0228) 2)…

A: As per our guidelines, we are allowed to answer first question only. Thanks   22) Here we have been…

Q: If f(z) = 10 V 824 - 2° + 5, find ƒ '(x). %3D O f (z) = 5 (8z“ – 2z° +5) *| O f (z) = 5 (32z° –…

A: The given function is fx=108x4-2x6+5. Differentiate the function with respect to x by the power rule…

Q: Find S ∩ T, (S ∩ T)c, Sc ∩ Tc, S ∪ T, (S ∪ T)c, and Sc ∪ Tc (1) S = (0, 1), T = [1/2, 3/2]

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: Compute Ax by dot product. 2 10 1 2 1 0 0 1 0 0 1 2 1 2 1 1 2

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Q: From (2) we get: 7h 1 (7g+7)n+1 - 2-(7g+6) (2 - N-(79+6) II ig+1)k-(a+1)t-q +1 h=0 k=1 7h 1…

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Q: ). Show that V - u -ly- tan' u < V - u 1- if 0<u<v, < tan 1+v? 1+u 4 2< tan 4 25 3 and deduce that 3…

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Q: Prove that c(u × v) = cu × v = u × cv.

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Q: Verify that det A = det B + det C, where Uj + vj U2 + v2 Uz + V3 A = A22 аз1 A32 --EE-E: A12 A22 V2…

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Q: O max(x,z) О тах(хә 10xz + 3x + z suисh that 3 > 6х + 3z. О mincә 10xz+ 3x + z such that 3 6х + 3z

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Q: Show that =- 5)" /31 + 6. 1 = 2 ) /7! + () /9! – ... %3D | -- IN

A: We know that, from the Taylor's formula for power series expansion of sinx is given as…

Q: et z = 6ex²y³ find O 12xy³ex²y³ O 18x²y²ex²y³ O 18xy³x²y³ O 12x²y²ex²²³ дz ax

A: Given, z=6ex2y3

Q: -3 2. Evaluate: V12-피 + z dar 0,

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Q: What is the difference in ndahin befween matnx multiplicatin and fensor multiplicahin of two lensors…

A: The tensor product V ⊗ W of two vector Spaces V and W (over the same field) is a vector space,…

Q: U = kuzx for 0 0, u(0, t) = u(L, t) = 0, u(x, 0) = x(L – x)

A: Given that, ut=kuxx , 0&lt;x&lt;L, t&gt;0u0, t=uL,t=0ux, 0=xL-x This is  the heat conduction problem…

Q: 5. Determine mZU if mZR = 9x 10 and mZU = 3x + 4. %3D %3D R S T. mZU = 50.5° mZU = 35° %3D mZU = 75°…

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Q: of is: If f(z, y, z) = ry z' + In (z) In (y²) In (z³) then dz

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Q: Which elements are invertible in Z4[x,y]?

A: W need to find elements which are invertible inZ4x,y.

Q: Suppose that (Q x Q, +,.) is a ficld where (x, y) + (z,w) (x+z,y + w) and (x, y). (z, w) (xz +2yw,…

A: I have find identity of the field and then inverse

Q: Compute ∇ƒ(-1, 2, 1), where ƒ(x, y, z) = xy/z.

A: Given,f(x,y,z)=xyz     As we know ∇f(x,y,z)=∂f∂x,∂f∂y,∂f∂z

Q: followinp serves Dedermine is he conditionelly , I converye your work ond justify your absdlutely…

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Q: Prove u + v = (u + v)(u* – u³v+ u?v² – uv³ + v^). + u-v - U (u+ v) (u+ – u³v+ u²,2 – uv3 + v^) Enter…

A: We have to prove: u5+v5=u+vu4-u3v+u2v2-uv3+v4

Q: Theorem: Proper ies of Transposes 3.) %3D

A: If we take transpose of transpose matrix, the matrix obtained is equal to the original matrix.…

Q: Show that if Y = ax + b (a = 0), then Corr(X, Y) = +1 or -1. We know Cov(X, Y) = Cov x, ])--)-I + b…

A: We need to show that, If Y=aX+b then Corr(X,Y)= +1 or -1

Q: P-value = 0.072, a = 0.05 O reject Ho O do not reject Ho P-value = 0.005, a = 0.001 O reject Ho O do…

A: We need to determine the decision based on the given p-values and significance level.

Q: Verify that (AB)" = BT AT %3D التحق ق 3 2 4 2 1 3 A = 2 1 B =1 2 5 4 2 3 0 2 1

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Q: If divF (x, y, z) = 0 for all (x, y, z), then curlF (x, y, z) = (0,0,0) for all (x, y, z).

A:

Q: Use a calculator to verify that Σx = 1.963, Σx2 = 0.556, Σy = 29.8, Σy2 = 147.72 and Σxy = 8.682.…

A: It is used to identify whether there is linear relationship between two variables. The range of the…

Q: If C, C2 Cn are Constovts 1-1 . a,, uzXz) ---- Un (X)ave livffen antiable 4111 funetions at x with…

A: Introduction: The differentiation of a function y=fx is defined as f'x=limh→∞fx+h-fxh This is…

Q: Prove that. 2/nJn-(n+2)Jne2 + (n+yjJney --- 3. end hence deduce that. 1xJn - (nti)Jnas -…

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Q: In Exercises 13–16, find and sketch the level curves ƒ(x, y) = c on the same set of coordinate axes…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: Utu = c²uxx , u(0, t) = 0, u(1, t) = 0, u(x,0) = 0 U¿(x,0) = x² – 2x, 00 t> 0 t > 0 0sx<1.

A: Given P.D.E

Q: cos(−4x) + cos(12x) / cos(4x) is equivalent to: Select one: not in the list 2sin(4x) 2sin(8x)…

A: cos(-4x)+cos(12x)cos(4x) is equivalent to 2sin(4x) 2sin(8x) 2cos(4x) 2cos(8x)

Q: 2- Find x, y, z, u, t, v such that 2 3 8. 3 5 +2 9 8 14 a) X =-6, y = -1,Z = -1, u = 1,t=2,v= 2 %3D…

A: xyzutv+2123456=8359814   To find : the value of x, y, z, u, t

Q: 4. Verify that (¹)² (j³)² = j³² | j³² but (²)³ #jj² j2

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Q: U₁ + Ux+Vx = 0, v₁ + UxVx = 0, u(x, 0) = u(x), v(x,0) = vo(x).

A: Given clear explanation below.

Q: Compute Projsw given by |2 -1 – 2 and S is defined by 8 [2 – 12]+t[-1 – 13], s,t e R. x = s ||

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Q: Use Cramer's rule to solve for z. Зх — 4у + z %3D 3 2х + 3у = 8 5y + 8z = 11

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Q: dz 12. Evaluate 9z² – 25 A. In(32 + V9z* – 25 c. In(3z-V9z* – 25) + C В. In( 3z + /9z² – 25 ) + C D.…

A: To find: ∫dz9z2-25

Q: Rotate AXYZ 90° counterclockwise around Z.

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Q: S (sec5x – tan5x)sec5xdx - Select one: O a. (tan5x - sec5x) + C O b. (tan5x – sec5x) + C O c.…

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Q: Question #30

A: Note: Some of the basic calculations are directly written due to the question being very lengthy. We…

Q: prove using soundness that the converse of Axiom 2: (vx)A → A[x := t] is not a theorem

A: Solution: If Î" ` Ï• then Î" |= Ï•. Completeness If Î" |= Ï• then Î" ` Ï•. Thus, any formula proved…

Q: If G (x, y, z) = curlF (x, y, z), where F (x, y, z) = (y – 2, z – x, x – y), then х, х — у), then ||…

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Q: Compute Simits If they the eist 8+iz z²+4 hit Zマ-2 Re 2

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Q: Uyy=4Uxx , U(0,y)=U(5,y)=U(x,0)=0 Uy(x,0)=3sin(2pi x)x)-2sin(5pi x), y>0

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Q: Prove: |I| = 1. %3D

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Q: 17

A: