Problem 3 In the assignment on Canvas, find a data set of measured temperatures T in Kelvin measured every 5 seconds over the time interval Ost 50s. The data is stored in the file T.mat and can be read in a Matlab script by the command load ('T.mat'). Cal- culate the temperature change dT/dt at all measurement times t with second order accuracy, and graph a cubic spline interpolation of dT/dt(t) for Os

The data points show a plant's volume y (in cubic centimeters) when it has been given an amount x of fertilizer (in milligrams). Each figure has the same data points. However, each figure has a different curve fitting the data. The equation for each curve is also shown. Answer the questions that follow. Figure 1 Figure 2 Figure 3 4000+ 4000- 4000- 3000- 3000- 3000- 2000- 2000 2000 1000- 1000 1000- y=-15.6x+ 402.x+ 605 y=-12.5x + 254x+ 1225 y= -2.1x + 124x+ 1800 (a) Which curve fits the data best? O Figure 1 O Figure 2 O Figure 3 (b) Use the equation of the best fitting curve from part (a) to predict the volume of the plant when it has been given 12 milligrams of fertilizer. Give an exact answer, not a rounded approximation. |cubic centimeters

Q2/ Defined x as 100 linearly spaced values between -2n to 2n. Defined y1 and y2 as sine and cosine values of x. create a line plot of both sets of data &add a title to the graph.

find the 80th derivayive of y= (08 3X