| Rockland Commun X W SPEECH FINAL.doc X Bb Take Test: MAT 201 x O MAT 20100-8( x Bb MAT 20100H Exam x 1; rain falling from a( x Bow Related Rates, A Cc x | Untitled * *Course Hero X DE MAT 20100H Exam X + X C n File | C:/Users/Terry%20A.%20Davis/Videos/MAT%2020100H%20Exam%20%233%20F21.pdf 3 1 of 5 Q + Q Page view A Read aloud | T) Add text Draw Highlight V Erase Answer each of the following questions. You must show all work for full credit. 1. Grain falling from a chute at the rate of 9 cubic feet per minute forms a conical pile whose radius is always half its altitude. How fast is the radius of the circular base increasing when the radius is 3 feet? (7 points) Use V = - ar h. 2. Find the absolute extrema of f(x) =3x* -4x +1 on the closed interval [-1,2]. (5 points) Type here to search O PS 36 F Cloudy ~ 91 7 (;) 11:24 AM 12/8/2021| Rockland Commun X W SPEECH FINAL.doc X Bb Take Test: MAT 201 x O MAT 20100-8( x Bb MAT 20100H Exam x 1; rain falling from a x bow Related Rates, A Cc x | Untitled * *Course Hero X DE MAT 20100H Exam X + X C n @ File | C:/Users/Terry%20A.%20Davis/Videos/MAT%2020100H%20Exam%20%233%20F21.pdf 3 2 of 5 Q - + | Page view | A Read aloud | T) Add text Draw Highlight V Erase 3. Let f (x) = - 2x x' + 4 a) Find all critical numbers of f . (5 points) b) Find all, if any, discontinuities of f . (2 points) c) Find the intervals on which f is increasing or decreasing. (5 points) d) Find all relative extrema of f . (3 points) Type here to search O PS 36 F Cloudy ~ 9: (13) 11:24 AM 12/8/2021| Rockland Commun X W SPEECH FINAL.doc X Bb) Take Test: MAT 201 x MAT 20100-8 x Bb MAT 20100H Exam x 1; rain falling from a( x bow Related Rates, A Cc x | Untitled * *Course Hero X DE MAT 20100H Exam X + X C O File | C:/Users/Terry%20A.%20Davis/Videos/MAT%2020100H%20Exam%20%233%20F21.pdf 3 3 of 5 Q + Q Page view A Read aloud | ) Add text Draw Highlight V Erase 4. Can Rolle's Theorem be applied to f(x) = cos xon the interval [-7/2 , 7/2]? Explain why or why not. If it can be applied, find all values of c guaranteed by the theorem. (5 points) 5. The Mean Value Theorem can be applied to f(x) = vx +1 on [0 , 3]. Find all values of c guaranteed by the theorem. (5 points) 6. Let f(x) =3x' -10x'. a) Find the intervals on which f is concave up or concave down. (5 points) b) Find all points of inflection. (3 points) Type here to search O PS 36 F Cloudy ~ 9: (13) 11:24 AM 12/8/2021| Rockland Commun X W SPEECH FINAL.doc X Bb Take Test: MAT 201 x MAT 20100-8 x Bb MAT 20100H Exam x 1; rain falling from a