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MAT109U

Mathematıcs I (ENG)

Deneme Sınavı Soruları

  • 20 soru
  • Cevap anahtarı açık: çöz, sonucunu gör
0 doğru · 0 yanlış · 20 kaldı
  1. 1

    Which of the following functions' limit is infinite for x=3?

  2. 2
    What is the second derivative(f''(x)) of the function f(x)=x2+lnx-1?
  3. 3

    What is the limit of the function f(x,y)=(x2-y2)/(5x-5y) for x=1 and y=1?

  4. 4

    Which of the functions is not differentiable for x=0?

  5. 5

    What is the shortest distance between the point P(2, 0) and a line y=3x.

  6. 6

    If then 

  7. 7

    The demand function of A is p = 40 – (x / 2), the fixed cost 48 TL, and the variable cost for each item produced is 4 TL ; what is the maximum profit ?

  8. 8

    A hardware manufacturer company sells its new product for 130 TL per item. Total cost consists of a fixed cost of 4400 TL, and the production cost of 50 TL per item. How many items must the manufacturer sell to gain a profit of 2500 TL?

  9. 9

    How many of the following points are stationary points for the function f(x,y)=x4+x2y2-2x2+2y2?

    I.(0,0)

    II.(1,0)

    III.(1,1)

    IV. (-1,0)

    V.(0,√2)

  10. 10

    If  then 

  11. 11

    For the function , find the second derivative 

  12. 12

    Which of the following functions is continious at x=2?

  13. 13

    For the function f(x) = 2x3 + 3x2 + 5x what is the sum of f'(2) and f(1) equal to?

  14. 14

    Given the sets A={a, 1, d, -3}, B={e, -3, 0} and C={a, d, e, 0}. Find (AUC)\B.

  15. 15
    1. 325 of them like at least one of these sports.
    2. 275 of them like none of these sports.
    3. 105 of them like only football.
    4. 35 of them like football and basketball but not volleyball.
    5. 135 of them like basketball or volleyball but not football.

    Which of the statements above are correct according to the case given below?

    "600 men are interviewed about which sports they like. It is found that 190 like football, 140 like basketball, 120 like volleyball, 65 like football and basketball, 50 like football and volleyball, 40 like basketball and volleyball, 30 like all three sports."

  16. 16

    Which of the following linear function has slope -5?

  17. 17

    What is the value of ?

  18. 18

    What is one of the solution of the exponential equation e2x - 2ex -15=0

  19. 19
    [-3, 5) ∩ (4, 7] = ?
  20. 20

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