Find a norm of the function f(t) =t? – 2t in space C[0, 1], %3D where norm is given by formula flf(t)|dt a. Ob. 1 1 c. 4 1 d. 3 O d. 2/3 4/7 aj

Q: Consider the function f(x, X2, X3, X4) = x+3XX4+2x2 8xxX4 +3x+7xa? O a. Fis positive definite Ob.…

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Q: I| (2 + x²y)dA, R = [0, 1] × [–1, 1]

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Q: find FCx)= (i)G)", X =0,1.2 .

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Q: Determine the linear approximation of f(x) = x at x = 1. O a. Not in the list О b. у3 3х +2 с. у %3…

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Q: 15.8 Consider the equation x³ + 3y² + 4xz² – 3z²y = 1. Does this equation define z as a function of…

A: Given:  The equation: x3 + 3y2 + 4xz2 - 3z2y = 1. To define: z in the equation as a function of x…

Q: Find ||F||. F(x, y, z) = i + j + k

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Q: 3. Let w = f(z) = 5z² – 12z + 3 + 2i a. Determine u and v b. Calculate f (3 – 4i)

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Q: Find V x (V × F) if F(x, y, z) = xyj+ 6xyz k. V × (V × F) =

A: Given: Fx,y,z=xy j+6xyz k To find the  cross product of ∇×∇×F

Q: Find the linear approximation of the function at the given point. ffx y)=-9x2-6y2+ 6 at (6,-10)…

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Q: The domain of y = v2 – x is A. (-0,2] B. (-0,00) C. (-∞,2) D. [2,0) E. 0

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Q: The function f(x) = Ei-1 Cix;| is piecewise linear and convex. True O False

A: Step:- 1 Convex piece-wise Linear: - A function f: ℝn→ℝis a convex piece-wise linear if there exist…

Q: [D²,2²] = 2(2&D + î) 2(2£D + î) Prove that

A: The function f(x) is a rule that associates or fixes a number to the particular point x. If y=f(x),…

Q: Let F(x, y, z) = (14xyz + 7sin(x))i + 7x²zj + 7x²yk. Find a function f such that F = Vf. f(x, y, z)…

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Q: For the given function P = xyz – 2y²+ x²z² find the div grad 9 at point (8,5,4).

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Q: The Range of y = [2x + 1] is Z, TO F

A: As given function is Greatest Integer Function and we Know that greatest integer function is…

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Q: Determine the linear approximation of f(x) = at z = 1. O a. y= 9x +8 O b. y=- 9 x-8 O c.y = 9x - 8 O…

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Q: af af and for dy 5. Find f(1, 9) = 1+2² + y²"

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Q: For the function f(x,y) = 6 of find and 8x+3y' dx dy

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Q: find an antiderivative Fon of the function fox)=5sinX such that FCO)=1.

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Q: f ▼ is defined by V= d/dx i + d/dy j + d/dz k and A& functions then show that V.(A+B)= V…

A: ∇=ddxi+ddyj+ddzkA and B are differentiable function then ∇.A+B=∇.A+∇.B

Q: Calculate the rectangular approximations R1, R2, and R4 for f(x)=2x−1 over the interval [1,5].

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Q: Consider the following quadratic function: f(θ) = 1/2∑ni=1 wi(θ−xi)2, where x1,...,xn are points in…

A: Given that the function is fθ=12∑i=1nwiθ-xi2 .It is required to find the value of θ minimizes fθ. To…

Q: Let f(x, y) = vax?y? + by. Compute f,(c, d) for the following values: a = 9, b = 3, c =3, d = 2.…

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