Mathematics, 04.04.2020 04:41 piggygirl211
The function f ( x ) = cos( Οx ) for x β [0 , 1] is approximated by the following piecewise polynomial p of degree β€ 3. The interval [0 , 1] is divided into k subintervals [ a j β 1 ,a j ] with a j = j/k for j = 0 , 1 ,...,k , and in each subinterval p is the polynomial interpolating f at 4 equally spaced points: a j β 1 , a j β 1 + 1 / (3 k ), a j β 1 + 2 / (3 k ), and a j . How should k be chosen so that the error max 0 β€ x β€ 1 | f ( x ) β p ( x ) |β€ 10 β 8 ? That is, derive an error upper bound, find the magnitude of | f (4) ( x ) | , and next get the desired value of k .
Answers: 1
Mathematics, 21.06.2019 13:20
Mr. walker gave his class the function f(x) = (x + 3)(x + 5). four students made a claim about the function. each studentβs claim is below. jeremiah: the y-intercept is at (15, 0). lindsay: the x-intercepts are at (β3, 0) and (5, 0). stephen: the vertex is at (β4, β1). alexis: the midpoint between the x-intercepts is at (4, 0). which studentβs claim about the function is correct?
Answers: 2
Mathematics, 21.06.2019 21:00
Which zero pair could be added to the function f(x) = x2 + 12x + 6 so that the function can be written in vertex form? o 3, -3o 6,629,-936, 36
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Mathematics, 21.06.2019 23:30
Which of the following exponential functions goes through the points (1, 6) and (2, 12)? f(x) = 3(2)x f(x) = 2(3)x f(x) = 3(2)βx f(x) = 2(3)βx
Answers: 1
Mathematics, 22.06.2019 00:30
Javier bought a painting for $150. each year, the painting's value increases by a factor of 1.15. which expression gives the painting's value after 77 years?
Answers: 2
The function f ( x ) = cos( Οx ) for x β [0 , 1] is approximated by the following piecewise polynomi...
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