mp to level Let T: P3 →>> R³ be defined by T (ao + a₁x + a2x² + a3x³) B = {x³, x², x, 1}, and C= Given [T Pc (T(u)). Pc (T(u)) = -1 2 1 0 -5 2 6 0 Ex: 5 -3ao + a1 + 2a2-a3 ao + 2a1 - 3a2 -3a0 +2a1 + 3a2 {Q.O·} <><> = - 2 a3 a3 . Let u = -3x + x³, 1 4 , use the Fundamental Theorem of Matrix Representations to find 4

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Q: Find the partial derivatives of the function w = V 4r2 + 1s2 + 2t2 dr ds dw at %3D శ్రీని శ్రీి

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Q: b) Find and classify all the critical points of f(x, y) = 3x²y + y3 – 3x2 - 3y2 +5. %3D

A: The solution is given as

Q: TEST FOR HOMOGENEITY: 2. x² - 5xy - 4y²

A: The given function is x2-5xy-4y2 We need to test the Homogeneity.

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A: The provided information is:

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A: We know that z=x+iy Then f(z) = z3+i-1= (x+iy)3+i-1 = x3+3x2iy+3xi2y2+i3y3+i-1=…

Q: Find real numbers x, y and z such that (x + 4)i + (y – 5)j + (z – 1)k = 0

A: To Determine :-  The real numbers x , y and z  such that   x + 4  i +  y -5  j +  z - 1  k =0

Q: a) Suppose you are given model with two explanatory variables such that: Y₁ = a + B₁x₁i + B₂x₂₁x +…

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A: Please comment if you need any clarification. If you find my answer useful please put thumbs up.…

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A: Given,          r't= 3t2 , 4t3 , 2t  , r1=-2,-5,-9

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Q: Zez analytical function or not?

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Q: 3. Find V x F for F(x, y, z)= -x2 i + x² + y² -yz x² + y² =j+√x² + y²k.

A: Given function:To find Known facts:

Q: TEST FOR HOMOGENEITY: 2 2. x² - 5xy - 4y²

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