Determine whether S = {1-1,2t +31², 1²-21³,2+1³} is a basis for P3.

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Q: Q2. Evaluate Sdx using Simpson's rule with N = 4 and hence find the 1+x³ approximate value of In 2

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Q: If x² +2y+3z? = x² + 2y² + 3z² = x² + 2y3 +3z3 =2, and x₂x3 +2y₂y3 +3z₂z3 = x3X₁ + 2y3V₁ +3Z3Z1 =…

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Q: QUESTION 3 (a) Consider the nonlinear equation A graph of the function is shown here. -est -1.5 -24…

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Q: (D² − 1)y=e*(x² + 1)

A: THE HOMOGENOUS EQUATION IS , D2-1y=0 SO, THE AUXILLARY EQUATION IS, D2-1=0⇒D=1,-1 THE HOMOGENOUS…

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Q: A line is measured in sections as follows: AB = 416.24 ± 0.06, BC = 1044.16 ±0.08, and CD = 590.03 ±…

A: A line is measured in sections as follows: AB = 416.24 ± 0.06, BC = 1044.16 ±0.08, and CD = 590.03 ±…

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Q: A farmer finds that if she plants 70 trees per acre, each tree will yield 20 bushels of fruit. She…

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Q: dx dt || with x (0) X2 -3 1 -10 3 -3 [:] 3 Т Give your solution in real form. x1

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A: We are given an integral. Our aim is to evaluate the integral ∫04∫x21y3+1dydx.

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Q: If f(x) is a polynomial of degree less than 3, then prove that f(a) (x-a) 1 a +1 b f(b) (x-b) f(c)…

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Q: Question 6 Calculate the following double integrals: J₂ (3x²y³ – 4x4) (dx dy), A. B. D = {(x, y) |0…

A: Given:  A.D=x, y|0≤x≤1, 0≤y≤2 B. Bounded region y=1, y=x, and y=-x. To find:  A. I=∬D 3x2y3-4x4dxdy.…

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Q: Prove using mathematical induction. Show your solution. Prove 3 + 7 + 11 + … + (4n – 1) = n(2n + 1)

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

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Q: Question 1 [ variables Given the function of two f(x,y) = −4x² − 6xy-7y²-1. a) Use Lagrange…

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Q: If S = √√3-1 2√2 √3+1] 2√2 √√3-1 2√2 -41₁ √√3+1 2√2 P=S (adj.A) ST, then find matrix ST p¹0 S. and

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Q: Find the standard matrix for the linear transformation T:R² → R² that shears vertically, with 2…

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Q: If S= √√√3-1 2√2 √√3+1] 2√2 √√√3-1 2√2 A √√3+1 2√2 P = S (adj.A) ST, then find matrix ST p¹0 S. and

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Q: Define a binary relation =3 on Z by x =3 y if x - y is divisible by 3. 1. Prove that 3 is an…

A: Given: A binary relation ≡3 on ℤ defined by x ≡3 y if x-y is divisible by 3. (a) To Prove: ≡3 is an…

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Q: 8. Find the centroid of the region bounded by y x and y = x².

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Q: 7. Solve the congi 8. Solve the system of congruences x = 3(mod 7) x = 5(mod 8) lid?

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Q: metic progression whose common difference is nonzero, the sum. qual to the sum of next n terms.…

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Q: ! 0. JUUTTUU M 10. Compute the distance between the functions f(x) = 5 + x and g(x) = 6 + 3x in…

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Q: (Ctrl) Analyze completely (determine all the characteristics of the function from the domain to how…

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Q: 6) Evaluate ff(x,y) dx, ff(x,y) dy and ff(x,y) ds on the indicated curve C. f(x, y) = 3x² + 6y²; y =…

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