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: Check it for f(x, y, z) = x²y°z*, that is, compute Vf first, then V x (Vf).

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Q: The DE (2- y?)dæ- aydy 0 is of the form %3D Select one: dy a. F(ax + by + c) and nonlinear in y. %3D…

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Q: 3. Find the fixed point(s) of f : [1, 0) → [2, 0) defined by f(x) = vx² + x.

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Q: Find a norm of the function f(t) = t² in space C" 0, 1, where norm is given by formula max|f(t)|+…

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Q: Indicate whether the following statement is true or false. Let f (x, y) be any real valued function…

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Q: Let f(x, y) = 3y – x² y² + 8y² + 4x² – 20y, then f has: | Select one: a. Three saddle points. b.…

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Q: For a functionf: R R, it is known that f(2,3) = 4, f-(2, 3) = -1, and %3D %3D fu(2,3) 1. Then, the…

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Q: Determine whether X and Y are independent: 2e--2y x, y > 0 a. fxy(x, y) =

A: Hello! As you have posted 2 different questions, we are answering the first question (4-2). In case…

Q: Compute the discriminant D(x, y) of the function. ƒ(x, y) = x³ + y4 − 6x − 2y² + 2

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Q: Evaluate the value of I = (4,0). I = Sleby. r 3x) dx + (6xe6y + y)dy, where I is the straight line…

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Q: If the function 2²+y? if (x, y) # (0,0) f(x, y) = 1-e(z2+y2) ? т, if (x, y) = (0,0) is continuous…

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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: 4. Consider the vector-valued function R(t) = a. Find the domain of R b. Show that R is continuous…

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Q: Show that F is conservative and find a function f such that F= Vf, and use this result to evaluate F…

A: Given  F→x,y=6x2y2−8xy3i+4x3y−12x2y2j and A1,2 , B2,2 Let M=6x2y2−8xy3 and N=4x3y−12x2y2…

Q: Solve the following function by applying the chain rule. w = xyz x = u?v y = uv? Z = u? + v? %3D…

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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: f(xo+h, yo+h) = f(xo, yo) + [fx (xo, yo)h + fy(xo, yo)k] 1 + xo, Yo)h² +2fxy(xo, Yo)hk + fyy(xo,…

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Q: 2. Which of the following is the domain of y sec(x)? %3D A. [-1,1] B. R- (n+ 1) C. IR D. [-1,0}

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Q: Write the Linear Approximation to f(x, y) = x(1 + y)−¹ at (a, b) = (8, 1) in the form f(a+h,b+k)≈…

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Q: Let r(t) =(t, 1 − t,t2)Find the general formulas for T and N as functions of t

A: We have rt=t, 1-t, t2 Tangent vector is given as Tt=r't So, Differentiate the rt with respect t.…