Consider the function f(x) = x = [0,2]. Construct the , Lagrange interpolation polynomial which interpolates the function f(x) at x = 0, x₁ = 1 and ₂ = 2.

Q: Find the domain of f(x) = Vx + 3 + Vx - 1.

A: Given that the function f(x) = x+3 +x-1 To find the domain of f(x).

Q: The function f is defined by f(x) = x-7. Find f (2y). f(2y) = ]

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Q: The graph of the linear function f(x) passes through the point (x, y) = (1, m), where m is the slope…

A: Given:Graph of f(x) passes through the point (x, y) = (1, m), where m is the slope of the line.

Q: Consider the function f(x)=3x+8 on the interval [2,10]. Find the average or mean slope of the…

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Q: Identify and sketch the domain of f(x, y) = y² + 4x + 2 In(1-x² - y²)

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Q: The curve represented by r(t) = f(t)i + g(t)j + h(t)k is a line. Are f, g, and h first-degree…

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Q: use the second derivative test to find the local exterma of the function f(x) =x3 -9x2-48x+72 on R

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Q: Determine whether the functions f1(x) := x + 1; f2(x) := sin(x); f3(x) := x - 1; f4(x) := 3 are…

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Q: Consider the function y = f(x) = 4x2+2x+7. Using only the table method, estimate f ′(2)

A: estimate  f'(2) =18

Q: Find the linear function f(x) passing through (6,8) and (8,10) Enter answer in form…

A: Explanation of the answer is as follows

Q: Find functions f and g so that fo g=H. H(x)=√x² +12 Choose the correct pair of functions. O A. f(x)…

A: We have given a composite function  f○g=H Hx=x2+12 Checking pairs (f○g)x=fgx Afx=x , gx=x2+12…

Q: If f(x) = Vx +1 , g(x) = Vx – 1, find the domain of f +g. %3D

A: Domain is set where function is defined

Q: What does is mean for two functions f(x) and g(x) to be orthogonal

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Q: Let f(x) = x2. Give an equation of the line that intersects the graph of f(x) at x = 0 and x = V2.

A: Given data:     The given function is: f(x)=x2. The first value of x is: x1=0. The second value of x…

Q: Consider the function f(z) = (a+ 1) x²y² + i(3 + 1)x²y?. Determine at which points the function f(z)…

A: Answer

Q: Linearize the function f(x) = x3 + 2x + 4 at a = 3.

A: To linearize a function  at certain point x=a , first we need to evaluate the function value at a (…

Q: Let ƒ(x) = (2x + 3)(3x2). Use the product rule to find ƒ′(x).

A: Consider the formula for product rule. Product rule: fg'=f'⋅g+f⋅g'