Time and Date Stamps (logged): 17:12:20 06-10-2020
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Calculus II
Calculus II Test 1
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- Write on ONE SIDE of paper only
- If a distance student be sure to email
instructor after taking the test in order to request results.
Name and Signature of Student
_____________________________
Signed by Attendant, with Current Date and Time:
______________________
If picture ID has been matched with student and name as
given above, Attendant please sign here: _________
Instructions:
- Test is to be taken without reference to text or
outside notes.
- Graphing Calculator is allowed, as is blank paper or
testing center paper.
- No time limit but test is to be taken in one
sitting.
- Please place completed test in Dave Smith's folder,
OR mail to Dave Smith, Science and Engineering, Va. Highlands CC, Abingdon, Va.,
24212-0828 OR email copy of document to dsmith@vhcc.edu,
OR fax to 276-739-2590. Test must be returned by individual or agency supervising test. Test is not to be returned to student after it has been taken. Student may, if proctor deems it feasible, make and retain a copy of the test..
Directions for Student:
- Completely document your work.
- Numerical answers should be correct to 3 significant
figures. You may round off given numerical information to a precision consistent
with this standard.
- Undocumented and unjustified answers may be counted
wrong, and in the case of two-choice or limited-choice answers (e.g., true-false or
yes-no) will be counted wrong. Undocumented and unjustified answers, if wrong, never get
partial credit. So show your work and explain your reasoning.
- Due to a scanner malfunction and other errors some
test items may be hard to read, incomplete or even illegible. If this is judged by
the instructor to be the case you will not be penalized for these items, but if you
complete them and if they help your grade they will be counted. Therefore it is to
your advantage to attempt to complete them, if necessary sensibly filling in any
questionable parts.
- Please write on one side of paper only, and staple
test pages together.
Test Problems:
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Problem Number 1
Find the general antiderivative of x^ 8 e^(x^ 9 + 9).
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Problem Number 2
Find the indefinite integral of the function t^ 1 / e^( 7 t).
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Problem Number 3
Find the general solution of dy / dx = 9 e^x - 8.
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Problem Number 4
Integrate y^ 8 / `sqrt( y + 9) with respect to y, from y = 1.36 to y = 2.21.
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Problem Number 5
If F ' (t) = 5 sin(t) e^( 7 t), then if F(0) = 1.5, find F(t) for t = .9 and for
t = 1.9.
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Problem Number 6
Find the average value of y = 9 sin(x) on the interval [ .4, 1.4 ].
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Problem Number 7
Sketch a graph of a continuous function f(x) which is linear from (0, 4) to ( 5, -4.001),
then linear to ( 8, 6) and then again linear to ( 13,-2.002). Sketch a graph of its
antiderivative F(x) for which F(0)= 11 and label the known points on this graph.
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Problem Number 8
Find an antiderivative of the function f(z) = z^ 8 + 1 / (cos^2( 6 z) ).