1. In R2, what is the dual cone V* if the primal cone V is V = {y1 (-3, -4) + y2 (1, -3) | y >= 0}

Q: 10. Let n > 2 be an integer and let V be the subset of F" consisting of vectors (x1,..., xn)…

A:

Q: If {x, y} and {z, w} are both linearly independent sets in R^n, then {x, y, z, w} is also linearly…

A: Answer

Q: Q12: If x + y = 10, then the largest possible Q13:The absolute maximum value of A) has no absolute…

A: Since, we have been asked to solve question-(13) in which our aimis to find the absolute maximum…

Q: If U = xz - x²2y + y²z², evaluate div grad U O2y + 2z²+2y² O -2y + 2z²-2y² O2y-2z²+2y² O2y + 2z²-2y²

A: I have given the answer in the next step. Hope you understand that

Q: Prove that the quartic function q(z) = r* - 16 has only

A: Given that: q(x)=x4-16

Q: Let vị = V2 = V3 V4 and -[1} Confirm that p = V1 +v2 + ¿v3 + ¿V4 and vị – V2 + V3 – V4 = 0. Jse the…

A:

Q: The length of an ellipse with axes of length 2a and 2b is given below, where e is the ellipse's…

A:

Q: Find the projection ofv onto u

A:

Q: 5. a) Let V₁ = H b) Let V₁ = 11 ----- = V3 Does (V1, V2, V3} span R¹? Why or why not? Does (V₁, V2,…

A:

Q: Example 9. Classify each relation as constant, linear, quadratic, or neither. a) y = x² + 5x + 6 b)…

A: The solution is given below:

Q: Determine the Domain and the Range of the Following fun etion s •B. 1. Fu) = = 6x+2 2 fa): xー2X + 6…

A: Since you've asked multiple questions, as per the answering guidelines we are supposed to answer…

Q: Find ƒ(2), ƒ(3), ƒ(4), and ƒ(5) if f is defined recur- sively by f(0) = -1, f(1) = 2, and for n = 1,…

A:

Q: (6. Consider the functran fa)=x² to Draw tronsfomue tim -f(x-2)-1 b for the quadratse equation…

A:

Q: (b) If WCU, prove that (Recall that U+W = (c) If U + W = U, prove that WCU. U + W = U. = {u+w|u€ U₁w…

A:

Q: Investigate the following func Mon por Local maximun and Local minimum point. 3) RCX, Y, 2 ) = x² +…

A:

Q: 6. Show that each of the following are not inner products on R³, (a) (u, v) = U₁V₁ + U2V2; (b) (u,…

A:

Q: Graph the preimage and image of AABC with A(2,1), B(0,-1), and C(-3,2). Translate it by…

A:

Q: 1.6 (Equality in Cauchy-Schwarz inequality). Prove that |(x, y)| = ||x|| · ||y|| if and only if one…

A: Image is attached with detailed solution.

Q: Let M-{1, 2}. Then O IP(MxM)=4 None of the mentioned O MxM={1, 4} O MxM={(1,1),.(2,2)} O IP(M×M)|=16

A: It is a set and relation problem

Q: 21. Let V1 = 1 0 -1 V2 H " V3 = 0 {V1, V2, V3} span R4? Why or why not? 1 0 0 . Does

A:

Q: 22. Let v₁ = (1, 6, 4), v₂ = (2, 4, -1), V3 = (-1, 2, 5), and W₁ = (1, -2,-5), w₂= (0, 8, 9). Use…

A: Given vectors are Here observed that So we have each of .In other words ,

Q: 2. (a) Design a bijection between ZU [1, +∞) and (0, +∞). Justify your answer.

A: To design a bijection between ZU1+x) and (0+x) according to the question, we can define a function f…

Q: 5. (a). i • (7F + (; (b). |(i • )i\\; (c). i • ); (d). (i) • . Let i = (1, 2,0), F = (4, 1, —2), and…

A:

Q: 5. Show that the function that sends an ordered pair ((x1, x2, x3), (Y1, Y2, Y3)) of elements in R³…

A: I have write answers below Explanation:

Q: 50 6 7 -> OURSTUDYBEGINS |- Find the dipeerential giren y:(It t)'

A:

Q: 30²) For A = {• t, 1} & B = {₁, 0, 83 & universum U= {0, oto, 1, 0, 7, 3 Find: A', B', AUB, AnB, AB,…

A: (i) Consider the universal set is U=∘,+,1,⋄,7,Ω, A=∘,+,1 and B=1,⋄,Ω. (ii) Given U=ℝ×ℝ=ℝ2, A=x,y|x≥1…

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.