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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 is the value of lim x→1 (2x³+x-12)/(5x-9)

  2. 2

    The demand function of A is p(q) = 515 – (q / 5). What is the price when the demand is of unit elastic ?

  3. 3

    The motion of a particle is given by the function f(t) = 2t2–4t+3. Find its velocity at the instant t = 3.

  4. 4

    Given the function , find the derivative at the point x=0.

  5. 5

    While approaching from the right limx→2 (x2 – x – 2) / (x – 2) = ?

  6. 6

    Find the limit of the following function for x=2.

  7. 7

    The bus company BusAway determines that when a return ticket between Eskişehir and Ankara costs p TL (0

  8. 8

    If the total cost function of a product is given by C(x)=4x+750, and the demand is p=10-(2x/4) which of the following is the maximum profit obtained through the sales of this product?

  9. 9

    Find the interval of decrease for the function .

  10. 10

    Find the gradient of the function at the point (1, 2, 3)?

  11. 11

    Given that f(x,y)=(3lnx+1)/(e-3x) + (y²x²)/(x+y)

    What is the value of the partial derivative of ∂f / ∂y at the point (1,2)=?

  12. 12

    f(x, y) = ey + yx2 – x – 1 ; ∂f / ∂x = ?

  13. 13

    What is the shortest distance between the point P(0, -4) and the line y = x ?

  14. 14

    Which of the following is not a polynomial function?

  15. 15

    If ln 2=x and ln 5=y what will be the value of ln 200 in terms of x and y?

  16. 16

    Which of the following is not true for an exponential function f(x)=ax if 0<a<1?

  17. 17

  18. 18

    Evaluate the expression ?

  19. 19

    If 10.000 TL is invested for 4 years at an annual rate of interest of 20%, find the value of the investment at the end of 4 years if interest is compounded annually.

  20. 20

    E = {0, 1, 2, …, 10}, A = {1, 2, 3}, B = {3, 4, 5}. Which one is equal to {4,5}?

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