1. Answer the following questions above the definite integral: [ a-x) dx a) Use GeoGebra to estimate the defined integral using the lower sums and 10 rectangles. Then, use 50 rectangles. b) Use GeoGebra to estimate the defined integral using the upper sums and 10 rectangles. Then, use 50 rectangles. C) Use GeoGebra to compute the definite integral. 1) Compute the definite integral by hand using the Fundamental Theorem of Calculus. 2. Find the volume of the solid formed by revolving the region bounded by the graphs of y = Vx, y= 0, x = 0, x = 2, about the x -axis (y = 0). a) Use GeoGebra to sketch the volume of the region bound by the functions. Find the volume of the region bounded by the functions using GeoGebra. C ) Set up and integral and compute the volume of the region by hand using the Fundamental Theorem of Calculus. 1 3. Answer the following questions about the indefinite integral: 5x2 sin(5x) dx Use GeoGebra to sketch the function. b) Use GeoGebra to find the indefinite integral of the function. Compute the indefinite integral by hand using the integration by parts technique. 4. Answer the following questions about the following limit: lim ~ X-00 7x e) Use GeoGebra to sketch the function. Use GeoGebra to take the derivative of f (x) (numerator function) and g (x) (denominator function). g) Use GeoGebra to estimate the limit of the function. E Compute the limit by hand techniques. 5. Answer the following questions about the function. f (x) = cos (5x) Use GeoGebra to sketch the graph of the function. ge Use GeoGebra to find the first 4 non-zero terms of the Maclaurin polynomial for the function. c) Use the definition of Maclaurin polynomial to find by hand-writing techniques the first 4 non-zero terms of the Maclaurin polynomial at c = 0