Question

# Its a simple Calculus 1 homework, I need the answers in neat handwriting please.

1 Attachment
MATH 140 Take-Home Quiz # 2. Part E To be submitted as a single .pdf file via the drop-box at ANGEL 1 INSTRUCTIONS Write legibly and neatly the solutions to the following problems in the order in which they appear in the assignment. The solutions must be numbered the same way as the questions. On top of the first page, write your name and section. No credit will be given for correct answers not supported by work. Show all steps of your work. You have two options for submitting your work – a hard copy or an electronic file. The electronic submission is the preferred form. Submitting electronically: Scan the pages with the solutions. Create a single multi-page pdf file of reasonable size (no more than 3 GB). The size of the file can be reduced if you choose gray instead of color option for the scan, and a smaller resolution. Use your name in the name of the file, for example, John_Smith.pdf. Submit the file via the Take-Home Quiz #2 Part E drop box at ANGEL by 9:00 am on Monday, November 2. If you are unable to create a multipage pdf file of reasonable size and of good quality, it’s better that you submit a hard copy instead. Submitting a hard copy: Use a copy machine to make a good quality copy of your solutions and turn it in at the beginning of the class period on Monday, November 2. There will be one point penalty if your submission does not follow the above requirements. On the other hand, there will be one bonus point for submitting electronically. 1. Consider the function   1 2 2 x x x f . Determine if it satisfies the hypotheses of Rolle’s Theorem on the interval   2 , 0 . If yes, find the numbers c that satisfy the conclusion of the theorem. If no, explain why. 2. Consider the function   2 3 x x f . Determine if it satisfies the hypotheses of the Mean Value Theorem on the interval   6 , 1 . If yes, find the numbers c that satisfy the conclusion of the theorem. If no, explain why. 3-6. Determine the domain and the equations of all asymptotes of the following functions. 3.   9 2 5 2 2 3 x x x x f 4.   8 2 30 5 5 2 2 x x x x g 5.   16 2 x x x h 6.   x x x x x j 4 6 3 3 3 2
MATH 140 Take-Home Quiz # 2. Part E To be submitted as a single .pdf file via the drop-box at ANGEL 2 7. The graph below shows the function f ( x ), defined for all real numbers. (a) List the x- coordinates of the local maximums of f ( x ). (b) List the x- coordinates of the local minimums of f ( x ). (c) List the intervals, on which f ( x ) is increasing. (d) List the intervals, on which f ( x ) is decreasing. (e) List the intervals, on which f ( x ) is concave downward. (f) List the intervals, on which f ( x ) is concave upward. (g) List the x- coordinates of the inflection points of f ( x ). y x -6 -5 -4 -3 -2 -1 0 5 4 3 2 1 -1 -2 -3 -4 1 2 3 4 5 6

End of preview