Written Examination for iut pre-Univ
Download 84.13 Kb. Pdf ko'rish
|
3-IUT Pre univ Exam Math 16-06-12
|
1 / 4 Written Examination for IUT Pre-Univ. Mathematics ◦ Each question is worth points displayed next to the problem number. ◦ You may use the extra page attached to the end as a scratch paper.
the problems in the simplest possible form. 1. [4 points] Find the value of
. Answer [ ] 2. [4 points] Evaluate . Answer [ ] 3. [4 points] Suppose that the quadratic equation has only one root. Find the value of the constant . Answer [ ] 4. [4 points] Evaluate log log
. Answer [ ] 5. [4 points] Suppose
that
is a sequence such that
. Find the value of . Answer [ ] 6. [4 points] Find the sum of all entries of the matrix where
. Answer [ ] 7. [5 points] Evaluate
log
. Answer [ ] 8. [5 points] Suppose that cos
. Find the value of sin . Answer [ ] 2 / 4 9. [5 points] Evaluate lim
→ ∞ when is a constant such that . Answer [ ] 10. [5 points] Suppose that the function ≤
is continuous at . Find the value of the constant . Answer [ ] 11. [5 points] Evaluate lim →
sin cos .
12. [5 points] Suppose that lim →
. Evaluate lim
→ . Answer [ ] 13. [5 points] Find the area enclosed by the -axis and sin ( ≤ ≤ ). Answer [ ] 14. [5 points] Let be the tangent line to the curve at . Find the values of the constants and . Answer [ ] 15. [6 points] Find the derivative ′
sin for ≥ . Answer [ ] 16. [6 points] Let sin ≠
. Find the derivative of at . Answer [ ] 17. [6 points] Evaluate lim
→ ∞
. Answer [ ] 3 / 4 18. [6 points] Suppose that a function satisfies the relation for every real number . Evaluate ′ . Answer [ ] 19. [6 points] Find the derivative
in terms of when . Answer [ ] 20. [6 points] Suppose that is differentiable on the set of real numbers. Evaluate in terms of when for
every
and ′ . Answer [ ]
4 / 4 Extra Page Download 84.13 Kb. Do'stlaringiz bilan baham: 
|