Calculus Easy 10 points?

Question

1. Find the most general antiderivative of (3x +2) (x-1)

A. x^3 + x^2/2 + 2x + c

B. ( 3x^2/2 -2x) ( x^2/ 2 + x) + c

C. Antiderivative does not exists

D. x^3 + x^2/2x - x + c

E. None of the above

2. Find the most general antiderivative of 9x^3 + 8x^2 / x

A. (9x^4 / 4 - 8x^3 /3) / x^2/2 + c

B. (9x^4 / 4 + 8x^3 / 3) / x^2 / 2 + c

C. 4x^3 + 3x^2 + c

D. 3x^3 - 4x^2 + c

E. None of the above

3. The general antiderivative of (5 + 6x)^11 is

A. (5+ 6x)^12 / 2 + c

B. (5 + 6x)^12 / 12 + c

C. (5 + 6x)^10 / 2 + c

D. (5 + 6x)^12 / 72 + c

4. Find the solution of the differential equation dy/dx = 6x^2 - 7 = 20, when x = 0

A. y = 2x^3 - 7x

B. y = 2x^3 - 7x + 20

C. y = 2x^3 -7x + 10

D. y = 2x - 7x + 5

5. Find the most general solution of the differential equation d^2 s / dt^2 = 32; given that s = 4 ds/dt = 2 when t =0

A. s = 16t^2 + 2t - 4

B. s = 16t^2 + 2

C. s = 16t^2 + 2t + 4

D. s = 16t^2 + 2t + 2

Answer 1

(1).

The word  the most general anti derivative of represents the expression is .

Write the expression in general form of quadratic equation.

.

The option E is correct.

Answer 2

(2).

The word  the most general anti derivative of represents the expression is

The option E is correct.

 

Answer 3

(3).

The option D is correct.

 

Answer 4

(4).

The option B is correct.

Answer 5

(5).

The option C is correct.