Consider the approximation: 1(f) = [ f(x)da ≈ ƒ(−B) + ƒ(B) for some 0 ≤ ≤ 1, Show that it has a degree of precision greater or equal to 1 for any such choice of 3. Choose an exact value of ß, what is the degree of precision for the exact value of 3 you have chosen.

Q: 4. Consider the graphs of the functions J(x) = a(1+p)" and g(x) = b(1+q)", where to is the…

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Q: By using Lagrange interpolation, evaluate (3) if f(0) = 2, ƒ(1) =1 and f(4) = 4. 5.

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Q: Giving f(0.23) = 0.362, f(0.53) = 0.143, f(0.86) = −1.143, please use inverse interpolating method…

A: Given that f0.23=0.362, f0.53=0.143, f0.86=-1.143. Using inverse interpolating method to get the…

Q: QI/ Find D, andR, to the following functions: x +1 1 x2 + 2 O f(x) = O f(x) = x - O f(x) = %3D x2 -2

A: DOMAIN  :  The domain of a function f(x) is the set of all values for which the function is…

Q: f(x)= k(x² + 4), x = 0,1,2,3 Find p (x< 2).

A: Solution: Given : f(x)=k(x2+4),    x=0,1,2,3

Q: f(x) = 6x-1 ax + b 8x-1 for x 1/1/201

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Q: 1 For what value of x does the function g(x) = 3x³ – 2x² concave downward? A. x ≥ −1 B. x 20 D. x ≤…

A: Given function is g(x)=13x3-2x2. Differentiating with respect to x we get, g'(x)=ddx(13x3-2x2) or,…

Q: For the function f(x) = 3+x find f"(x). Then find f"(0) and f"(3). f"(X) = Select the correct choice…

A: This question is based on second derivative of given function.

Q: (c) Show that f(x)>0 for all values of x, x # -2.

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Q: The graph of f'is translated a whole number of units horizontally and vertically to obtain the graph…

A: A graph of the functions  and  are given.The objective is to find the equation of the function .

Q: Let X be the amount of time (in hours) the wait is to get a table at a restaurant. Suppose the cdf…

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Q: For what value of x does the function f(x) = -x 4x attain the point of inflecti - in the interval…

A: i have  used that nevesaary condition for inflection point is f"(x)=0 and sufficient condition is…

Q: Find the range of the function f(x,y)=-579+841/3971-x²-y² . 19 11

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Q: Based on your knowledge of sequence that has been covered in the course ECON1003, classify the…

A: The given sequence 28, 21, 15, 10, 6,...... We have to determine whether the series is an arithmetic…

Q: What is the domain for f (æ) = Væ – 3.

A: Given fx=x-3

Q: Find the Range of f1, if ƒ(x) = 2/æ – 3 O Range: z > 0 O Range: r > 3 O Range: y > 0 O Range: y > 3

A: given y=f(x)=2x-3interchanging variables x and y and solve for yx=2y-3x2=y-3squaring on both…

Q: Use the table below to fill in the missing values. f(x) 6 2 4 5 9 X 0 1 2 3 456 789 f(7) = O 7 1 8 3…

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Q: 6t R(t) = „A - (a) 6 (b) R(1) (c) R(-1)

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Q: Given the function: f(x) = { 9æ – 2 x 0 Calculate the following values: f( – 1) = f(0) = f(2)

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Q: For a given function f(x), the divided -differences table is given by: flxo) = a flx) -b Xa = 1 1 1…

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Q: How many one-to-one functions f: [4] to [6] have 5 not in the range of f?

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Q: 4. Let 0 ‡ b, c E Rn and define A = be E Rnxn. Show that (a) R(A) = span{b}, (b) N(A) = {x ≤ R" |…

A: (a) We are given that A = bcT                    where, c ∈ Rn     So, R(A) = { Ax : x ∈ Rn×1 }…