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Decide whether the equations form a cubic spline.
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- Dogs Human Age From the data printed in the following table from the Minneapolis Star Tribune on September 20, 1998, a dogs age when compared to a humans age can be modeled using either a linear formula or a quadratic formula as follows: y1=4.13x+14.63 y2=-0.033x2+4.647x+13.347, where y1 and y2 represent a dogs human age for each formula and x represents the dogs actual age. Source: Mathematics Teacher. Dog Age Human Age 1 16 2 24 3 28 5 36 7 44 9 52 11 60 13 68 15 76 a. Find y1 and y2 when x=5. b. Find dy1/dx and dy2/dx when x=5 and interpret your answers. c. If the first two points are eliminated from the table, find the equation of a line that perfectly fits the reduced set of data. Interpret your findings. d. Of the three formulas, which do you prefer?arrow_forwardWrite a quadratic function with the given repeated zero. 2iarrow_forwardFind all real solutions. (a) x2x12=0 (b) 2x2+4x+1=0 (c) 3x3=x (d) x1/23x1/4+2=0 (e) x43x2+2=0 (f) 3|x4|=10arrow_forward
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