Determine the first three nonzero terms in the Taylor polynomial approximation for the given initial value y' = 2x² + y²:y(0) = 1 The Taylor approximation to three nonzero terms is y(x) =

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Q: B. Given that f(x) = {(-2,1), (1,4), (2,5), (3,6)} g(x) = 6 + 4x h(x) = -x² + 2 2. 2h(3)+g[f(-2)]…

A: 1. f(1)=4 So, h[f(1)]=h[4]=-42+2=-14 So, h[f(1)]/7=-14/7=-2   2. h(3)=-32+2=-7 So, 2h(3)=-7×2=-14…

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Q: .. Evaluate. a) 2³ x 4² x 2-3 b) 81¹/4 - 81/3

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Q: Find the value of a and b if. a=2&b=9 >ite} sho= &b=3 ܂ 0 " 3 (s+a) +b &b=3 a=-&b=9

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Q: (ANB)NC D-E (AUB)' or (AUB)^c CXD (A-C)ND

A: Given: The universal set is the set of integers from -15 to 10. 1. Set A is the set of nonnegative…

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Q: Show that U= {(x, y, z): r, y = R} is a subspace of R³. Then, find a linear complement of U in R³.…

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Q: Find the magnitude of the vector v = 9 cos(90) i +9 sin(90) j. (Give an exact answer. Use symbolic…

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Q: 7. Find the canonical form of (x+y+z)². Also specify the corresponding orthogonal transforma-

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Q: Q4A) Find area bounded by y = 0, y = √x - x² using double integration.

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Q: vector v has initial point P₁ = (-1,2) and terminal point P₂ = (x, 14). Find all numbers x so that v…

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Q: In finding the root with Newton's Method, an initial guess Xo = 4 with f(Xo)= 1 leads to X1 = 3.…

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Q: B)Prove (cose + i sine)" = cosne + i sin ne

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Q: 11. In line integrals, if x(t) has a derivative equal to 0, with y'(t) and z' (t) not equal to 0, A.…

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Q: Let X have a mean of 132 and a variance of 32. Define Y=X² + 2X+1. Compute the (a) mean and (b)…

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Q: 5 Given A=-2 -2 01 -2 6 2 and X=X₂ [X3] 1 0 2 7J show that XTAX = 27, suggest that 5X +…

A: Given- Given A = 5-20-262027 and X = x1x2x3. To Show- Show that XTAX = 27, suggest that 5x12 + 6x22…

Q: Find the exact value of the expression. a. tan(sin^−1(2/3) − cos^−1(1/3)) b. sin(cos^−1(3/4) −…

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Q: (7) Solve the PDE by Laplace Transform a²w aw <=100 +100 + 25w, ar² at w(x, 0) = 0 if x ≥ 0, we(x,…

A: The given P.D.E is                       ∂2w∂x2=100∂2w∂t2+100∂w∂t+25w,wx, 0=0 if x≥0, wtx, 0=0 if…

Q: let a=2+7i b=4-2i Choose the correct result of a*b* O 24+22i O 22+22i O22+241 O 22-24

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Q: Find the singularity of the function f(z)=(e^z-1)/z at z=0.

A: I used the expansion of e^z to write f(z) in laurent series form.

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Q: (a) i. Determine the bilinear transformation that maps the points 1 - 2i, 2 + i , 2 + 3i…

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Q: Determine solutions for the equation 5 sin2x + 2sinx = 0 in the interval x [-2π, 2π] algebraically.…

A: Given equation is 5sin2x+2sinx=0. We have to find the solution of the given equation in the interval…

Q: let a=2+7i b=4-2i Choose the correct result of a/b * O (6-361)/20 O(-6+361)/20 (-6-361)/20…

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Q: B)Prove (cose + i sine)" = cosne + i sin ne

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Q: (b) Finn looks at a map of 4G mobile towers in his area. There is one at Stormer Hill and another at…

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Q: (b) Find the interval of convergence of the following series Σ (¹+-½)²³ ( (x - 1)" n=1

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Q: Solve using Inverse Operaators. y"" - y' = 4e-x + 3e2x; x = 0, y = 0, y'= -1, y" = 2

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Q: Q2A)Matrix A = [43],find Eigen values of A².

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Q: d) the transpose of x. 2- If x= [2 8 5; 9 7 1], b=[2 4 5] find: a) find the maximum and minimum of…

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Q: Prove that |A U B| + |A n B| = |A| + |B|

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Q: Zez analytical function or not?

A: We check whether w=zez is analytic function or not.

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Q: * the complex number 6√3+6i in polar form O 12(cos(π/6)+isin(π/6) O 12(cos(π/4)+isin(π/4) O…

A: 1. Given complex number is 63 + 6i As Arg z = tan-1yx = tan-1663 = tan-113 = π6 Also r = 36 + 36 x 3…