Final Sınavı - Mathematics 1 - sinavahazirlan.com

Soru 1:

What is the derivative of (2x + 1) 3 equal to?

A) 2 B) 2(2x + 1)2 C) 3(2x + 1)2 D) 6(2x + 1)2 E) 6(2x + 1)3

Soru 2:

3x 2 + 5, x < -3 If f : R - {-3} › R, f (x ) = ?-x + 12, x > -3 then which of the following is the the value of lim x›-3 + f (x)?

A) 3 B) -6 C) 9 D) -12 E) 15

Soru 3:

Which of the following is the local minimum point of the function f (x, y) = x 2 + 2 y 2 + 2 x + 3 y ?

A) (3, 5) B) (-1, -4) C) (3 / 5, 1) D) (-2, -3 / 4) E) (1, 2 / 3)

Soru 4:

A) B) C) D)

Soru 5:

A = {2, -3, -4, -5, 6}, B = {1, 3, 5, 7}, C = {1, 2, -2, -3, 3, 5, -5}. (C \ B) ? A = ?

A) {-3, -5} B) {2, -3, 6} C) {-5, 6, 1} D) {2, -3, -4, 6} E) {-4, -5}

Soru 6:

For the function f(x)=-3x+11, find the derivative f'(x) at the point x=0?

A) -3 B) 0 C) 11 D) -5 E) 7

Soru 7:

What is the derivative of the function which is given below? f(x)=3x.e -5x

A) e-5x B) 9e-5x C) -12e-5x D) (1+5x)e-5x E) (3-15x)e-5x

Soru 8:

Which of the following gives the instantaneous velocity of a particle at time t if its' position at time t is defined by f(t)?

A) limh›0(f(t+h)+f(t))/h B) limh›0(f(t+h)-f(t))/t C) limh›0(f(t+h)-f(t))/h D) limh›0(f(t-h)-f(h))/h E) limh›0(f(h)-f(t))/h

Soru 9:

SleepTight company sells its new pillow for 360 TL per item. Total cost consists of a fixed cost of 4800 and the production cost of 120 per unit. What is the break-even point?

A) 10 B) 20 C) 30 D) 40 E) 50

Soru 10:

What is the largest possible area of a rectangle if its perimeter is 80?

A) 800 B) 600 C) 400 D) 300 E) 200

Soru 11:

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. What is the break-even point?

A) 45 B) 50 C) 55 D) 60 E) 65

Soru 12:

Determine the set of continuity of the function .

A) (-1, 1) B) R\{-1, 1} C) [-1, 1] D) (0, 1) E) (-1, 0)

Soru 13:

Given the function find the second derivative at the point x=1.

A) 5 B) 14 C) 26 D) 23 E) 22

Soru 14:

Let f: R›R, f(x)=7x+1 and g: R›R, g(x)=x²-1 be given. What is the value of f/g(2)?

A) 14/3 B) 3 C) 5 D) 7 E) 15/2

Soru 15:

What is the set of continuity of f(x) = 2 x / (x 3 – 1) ?

A) (-∞, ∞) B) R \ {1} C) R D) R \ {-1, 1} E) R \ {-1}

Soru 16:

f(x) = x -1 + 2 for x < -2 ; f(x) = x -2 + 2 for x > -2 ; while approaching from the right lim x ›-2 f(x) = ?

A) 1.50 B) 0 C) 2.25 D) 2.50 E) 1.75