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dy/dt = y+6t y(0)=5. In this question we will use a spreadsheet to approximate the value y(1). The picture below shows a spreadsheet being

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dy/dt = y+6t y(0)=5. In this question we will use a spreadsheet to approximate the value y(1). The picture below shows a spreadsheet being used to implement a linear approximation scheme (ie. Euler's method) with initial value y0= y(0)= 5 and a step size of 0.1 to make such an approximation in 10 steps. A downwards arrow indicates that the contents from the cell above will be dragged down. Column B holds values of t; Column A holds approximations of y(t); and Column C holds approximations of y'(t). A B C (a) Which entry should go in cell C1? (b) Which entry should go in cell A2? 1 5 0 ? A. =A1+0.1 2 ? ? A. =B1+0.1 B. =B1+1 C. =A1+ 5*B1 D. =A1+0.1*6*B1 E. =A1+ B1 F. =A1+6* B1 B. A1+0.1*B1 3 C. =0.1 4 D. B1+0.1*C1 5 E. A1+0.1*C1 6 F. =A1+6 *B1 7 8 9 (c) Which entry should go in cell B2? A. =0 B. =1 C. =B1+0.1 D. =A1+6 *C1 E. =A1+6 *B1 F. =C1+0.1 10

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