1 1+ 12,2 over [-1, 1]. SET-UP the Lagrange (-1, 1). 2. Consider the function defined by f(x) polynomial approximation using 11 equally spaced nodes

Q: Let f (x) = 1z1 -중23-22 + 4z -2. Determine at what point f (x) achieves a local max. If there is no…

A: At the point of local maximum, the first derivative of the function is zero and second derivative of…

Q: Let k(x) = 1 -x4, where j(x) = y + k(x) and y = x6 - x2. Describe the graph of j(x) based on the…

A: Given: k(x)=1-x4 where, j(x)=y+ k(x) y=x6-x2 Then j(x)=x6-x2+1-x4j(x)=x6-x4-x2+1 The zeroes of the…

Q: Find an equation for the level curve of the function f(x,y) that passes through the given point.…

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Q: A cubie function has rule x) ax+ br + 6. The points (1,4) and (2, 11) lie on the graph of y f().…

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Q: For the function f(x) = 5x° -4x +2x + 3, findf "(x). Then find f"(0) and f"(4). f"(x) = Select the…

A: Double derivative

Q: Let f(x) = √4 - x + 7. Determine ƒ-¹(x) and the the domain of ƒ−¹(x). ƒ-¹(x) = Domain of f¹(x) =

A: NOTE: Refresh your page if you can't see any equations. . as we know, the square root of any…

Q: Use the Intermediate Value Theorem (1VT) to show that the function. f(x) = lex² - 11x-7 has a zero…

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Q: Lat f(2) -- nr +5 and g(2) - ma +2-1. The functiors are combined to form a new function h(z) - S(2)…

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Q: Plot f (x) = 2√x − x on [0, 4] and determine the maximum value graphically. Then verify your answer…

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Q: Consider the Lagrange polynomial that passes through the 4 data points given by 2 8 y 7 | 151 | 407…

A: We know that L0x is given by  L0x=x-x1x-x2x-x3x0-x1x0-x2x0-x3        1 Here, x0=2,x1=5,x2=7,x3=8,x=4…

Q: The absolute maximum of f(x) = -2x + 5x215 on [-1, 1] is Select one: а. 3 О Б. 30 С. 1 O d. 7

A: fx=-2x+5x25  differentiating both sides f'x=ddx(-2x+5x25)  f'x=-2+525x-35  f'x=-2+2x-35

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 Absolute Max and Min: f(x) = x2 – 2x On [0, 1] Ab. Max = when x= Ab. Min = when x=

A: For the given  f(x) = x2-2x3 at [0,1] Absolute maxima and absolute minima is calculated as shown…

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: 1. Find the fixed point(s) of the function g(x) = 32³-62²-1+4 on the interval [0,4]. (Answer: √2/3,…

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Q: Derive a 2nd order accurate finite difference expression for the first derivative at point i-1,…

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