Construct the natural cubic spline for the following data. a. X f(x) b. X C. 8.3 8.6 X -0.5 -0.25 0 17.56492 18.50515 f(x) -0.0247500 0.3349375 1.1010000 d. 0.8 1.0 X 0.1 0.2 0.3 0.4 f(x) 0.22363362 0.65809197 f(x) -0.62049958 -0.28398668 0.00660095 0.24842440

Q: The population of a town in California is modeled by the function f(x) 16,612(1.024)". If the…

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Q: 4. What function is y = x3 + 2r + 1? * O A. Linear Function O B. Polynomial Function C. Quadratic…

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Q: 5. Find the values of x where the graph of the function has a point of inflection. Given: /(x) = x -…

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Q: 36. Given f (x)= 3x|-1 and g(x)= 0.03x -x+1 find when f(x) = g(x) · A -0.986 and 1.957 B. -0.986 and…

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Q: oint (−8, −11), changes direction at the point (−2, −25), goes up and right becoming more steep,…

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Q: 12. Which of the following is true about the graph of the function, y= (x-2)³(x-1)*(x+4)? A. The…

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A: Some characteristics of a function can be listed as follows. Domain Range x-intercept y-intercept…

Q: Q6) Fit a second order polynomial to the following data. Also estimate the value of y at x=1.25,…

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Q: Evaluate the following function. If p (x) = 7 (4)" , find p (5)

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Q: 1. Given two functions f(x) = x³ + 5 and g(x) Keen values exact Con = 8 1 - 3 evaluate each of the…

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Q: The shaded region shown below is bounded by the functions f(x) = -3x2 + 8 and g(x) = 0.5x + 6 and…

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Q: 5. The table shows different values for the function A(x) = 2x5 + 16x¹100x³-528x²-1890x. B(-1)=0…

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Q: Find the point on the graph of f(x)=(x+1)2 that is closest to the point (-5, 1). Round to three…

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Q: Given these data X 1 2 3 f(x) 3 6 19 99 Estimate f(2.5) and f(4), (a) using an interpolating…

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Q: assume that a dress belt company produces only size 30 belts their belt specification is 30 inches.…

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Q: Find the rule of the function associated with the following table. 1 2 3 y 1 2.5 4 5.5 -x+1 2 3 y =…

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Q: 5. How many zeros does this function has f(x)= 2x? - 5x - 7? с. 1 d. 3 a. None b. 2

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Q: Assume that the mathematical model C(x)=11x+130 represents the cost C, in hundreds of dollars, for a…

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Q: 5. A fence is to be built against a concrete wall to form a rectangular lot. Only three sides of the…

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Q: Suppose 30 is the y-coordinate of the point of intersection of the graphs below. Complete the…

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Q: 1. Make two separate plots of the function f(x)=0.6x-5x +9x+2; one plot for -4 sxS4, and one for…

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Q: A report states that 45% of American adults were obese. In this report, adults were considered to be…

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Q: Use the graph of f(x)=√x to write an equation for the function represented by each graph. (a) (b)…

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