Consider f(x) = sin(x) at (0.4 , 0.951), (hint: 0.4 = 1.2566) a). Plot f's secant from (0.4, 0.951) to (0.5 , 1). b). Plot f's secant from (0.3, 0.809) to (0.4 , 0.951). c). Plot f's secant from (0.2, 0.588) to (0.4 , 0.951). d). Plot f's secant from (0.1, 0.309) to (0.4 , 0.951). e). Extend the secants as lines that fill the grid window, and label them a,b,c and d respectively just near the lower left corner along the edge of the graph. F). Calculate the slopes of the four secants?. g). Gather your data into the chart estimate the instantaneous rate of change (IROC) at x= 0.4  record your answer to one decimal according to the data in the chart ( the chart is 3 by 5 the x values: 0.1, 0.2, 0.3, 0.5 the next column is sin(x) values so: 0.309 , 0.588 , 0.809 , 1 and the next column is the answers for the slope of secants (0.4 , 0.951) that's what the chart should look like). h). Investigate further to estimate the instantaneous rate of change (IROC) at 0.4 accurate to 3 decimal places. Estimate = _______________ 2. Consider the function f(x) = 3(2)^x -5 at (2,7). Estimate the IROC for f at x=2, and state how accurate your estimate is.