Using the Definite Integral to Determine Average Function Value Sketch a rectangle whose base is the line segment from t=0 to t= 4 on the t-axis such that the T rectangle's area is equal to the value v(i)dt . Ideally, you could draw this exactly, but you will have to approximate. What is the height of the rectangle? Give this answer exactly because you can. How did you calculate the height of the rectangle?

Assignment 2 question: Use Taylor's formula to calculate linear and quadratic approxi- mations to the function sin(Tе-²-²) at the point (0,0). Use your formulas to make two estimates of the value of f(0.01, 0.01). Compare the linear and quadratic estimates with the correct values. Repeat your estimate comparisons for f(0.1,0.1), f(0.5, 0.5), and f(1,1). How good are your estimates? What goes wrong with the approximations as you move further from (0,0)? Sketch and label one or more contour plots to help explain your conclusions.

I don't understand how you got to the calculation portion to plug in values.

Find the average rate of change of the function over the given interval. f(t) = 4t + 4, [1, 6] Compare this average rate of change with the instantaneous rates of change at the endpoints of the interval. left endpoint right endpoint Need Help? Read It Submit Answer