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1-what is the value of...

1-what is the value of Lim 2x + 3/4x-5 and x->infiniti

a. 3/5 b. 0 c. 1/2 d. 1

2- An object moves according to the law s=t2 (i meant t square )+5t-8. what is the average rate of change of s with respect to t i the interval t to (t+delta t)?

a. 2t+5 b. 2t+6 c. 2t + delta t + 5 d. 2t +(delta t)square + 5 delta t

3- for the object described in question 2, what is the exact rate of change of s with respect to t when t=1.5 seconds?

a. 1.75 b. 8 c. 8.5 d. 9.5

4. calculate dy/dx if y= 4x3/i meant 4x cube/ + 3x2/square/ + 2

a. 12x2 + 6x b. 12x2 + 6x + 2 c. 12x3 + 6x2 d. 12x3 + 6x2 + 2

5. what is the derivative of y with respect to x if y=2/x4 /i meant x the power of 4/?

a. - 8/x5 b. - 8/x3 c. 8/x3 d. 8/x5

6. what is the derivative of y = the square root of 3x?

a. dy/dx = the square root of 3x/6x

b. dy/dx = the square root of 3x/2x

c. dy/dx = 2 square root of 3x/3x

d. dy/dx = the square root of 3x/2

7. calculate the derivative of y = the square root of 7x+2

a. 1/the square root of 7x

b. 1/ 2 the square root of 7x+2

c. 7/2 the square root of 7x+2

d. the square root of 7 / the square root of 7x +2

8. if y = x3 + 3x2 + 5, what is dy/dx?

a. 3x2 + 6x

b. 3x2 + 6x + 5

c. 6x2

d. 6x2 + 5

9. if a body moves in a straight line according to the law s = 24t + 3t2 - t3, where s is the distance measured in meters from the origin and t is the time in seconds after it starts to move, calculate the body's velocity as a function of time.

a. v = 30t-3t2 c. v = 24 + 3t - t2

b. v = 30t-t2 d. v = 24 + 6t - 3t2

10. what is the velocity of the body in question 9 when t = 3 seconds?

a. 15 m/s b. 27 m/s

c. 63 m/s d. 81 m/s

11. find the derivative with respect to x of y = (3x + x2)the power of 5

a. 5(3 + 2x) the power of 4

b. 5(3x + x2)the power of 4

c. 5(3x + x2) the power of 4(3 + 2x)

d. (3 + 2x) the power of 5

12. what is dy/dx if y=(x2 + 2)cube(x3+3)square?

a. 6(x2 + 2)square(x3 +3)

b. 2x(x3 + 3)square + 3xsquare(x2 + 2)cube

c. 3(x2 + 2)square(x3 + 3) square + 2(x2 + 2)square( x3 + 3)

d. 6x(x2 + 2)square(x3 + 3)square + 6x2(x2 + 2)cube(x3 + 3)

13. if y= 3x2 + 2x/ 2x2 - 3, calculate dy/dx

a. -(2x2 + 2x)/(2x2-3)square

b. -2(2x2 + 9x +3)/(2x2-3)suare

c. -3(2x2-9x-3)/(2x2-3)square

d. -4(2x2 - 9x -3)/(2x2 - 3)square

14. if s= 24t + 3t2 - t3, what is the relative maximum value of s?

a. s= 28 b. s=80 c. s= 96 d. s= 120

15. what is the equation of the tangent line to the curve y = 6x - x2 - 5 at the point (4,3)?

a. x-y = 1 b. x+y = 7 c. 2x - y = 5 d. 2x + y = 11

a. 3/5 b. 0 c. 1/2 d. 1

2- An object moves according to the law s=t2 (i meant t square )+5t-8. what is the average rate of change of s with respect to t i the interval t to (t+delta t)?

a. 2t+5 b. 2t+6 c. 2t + delta t + 5 d. 2t +(delta t)square + 5 delta t

3- for the object described in question 2, what is the exact rate of change of s with respect to t when t=1.5 seconds?

a. 1.75 b. 8 c. 8.5 d. 9.5

4. calculate dy/dx if y= 4x3/i meant 4x cube/ + 3x2/square/ + 2

a. 12x2 + 6x b. 12x2 + 6x + 2 c. 12x3 + 6x2 d. 12x3 + 6x2 + 2

5. what is the derivative of y with respect to x if y=2/x4 /i meant x the power of 4/?

a. - 8/x5 b. - 8/x3 c. 8/x3 d. 8/x5

6. what is the derivative of y = the square root of 3x?

a. dy/dx = the square root of 3x/6x

b. dy/dx = the square root of 3x/2x

c. dy/dx = 2 square root of 3x/3x

d. dy/dx = the square root of 3x/2

7. calculate the derivative of y = the square root of 7x+2

a. 1/the square root of 7x

b. 1/ 2 the square root of 7x+2

c. 7/2 the square root of 7x+2

d. the square root of 7 / the square root of 7x +2

8. if y = x3 + 3x2 + 5, what is dy/dx?

a. 3x2 + 6x

b. 3x2 + 6x + 5

c. 6x2

d. 6x2 + 5

9. if a body moves in a straight line according to the law s = 24t + 3t2 - t3, where s is the distance measured in meters from the origin and t is the time in seconds after it starts to move, calculate the body's velocity as a function of time.

a. v = 30t-3t2 c. v = 24 + 3t - t2

b. v = 30t-t2 d. v = 24 + 6t - 3t2

10. what is the velocity of the body in question 9 when t = 3 seconds?

a. 15 m/s b. 27 m/s

c. 63 m/s d. 81 m/s

11. find the derivative with respect to x of y = (3x + x2)the power of 5

a. 5(3 + 2x) the power of 4

b. 5(3x + x2)the power of 4

c. 5(3x + x2) the power of 4(3 + 2x)

d. (3 + 2x) the power of 5

12. what is dy/dx if y=(x2 + 2)cube(x3+3)square?

a. 6(x2 + 2)square(x3 +3)

b. 2x(x3 + 3)square + 3xsquare(x2 + 2)cube

c. 3(x2 + 2)square(x3 + 3) square + 2(x2 + 2)square( x3 + 3)

d. 6x(x2 + 2)square(x3 + 3)square + 6x2(x2 + 2)cube(x3 + 3)

13. if y= 3x2 + 2x/ 2x2 - 3, calculate dy/dx

a. -(2x2 + 2x)/(2x2-3)square

b. -2(2x2 + 9x +3)/(2x2-3)suare

c. -3(2x2-9x-3)/(2x2-3)square

d. -4(2x2 - 9x -3)/(2x2 - 3)square

14. if s= 24t + 3t2 - t3, what is the relative maximum value of s?

a. s= 28 b. s=80 c. s= 96 d. s= 120

15. what is the equation of the tangent line to the curve y = 6x - x2 - 5 at the point (4,3)?

a. x-y = 1 b. x+y = 7 c. 2x - y = 5 d. 2x + y = 11

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