Please anyone help me for 1500 points 7. Find the arc length of the curve y^2 =

Question

Please anyone help me for 1500 points

7. Find the arc length of the curve y^2 = x^3
from (0, 0) to ( 1/4,1/8).
a. 71/216
b. 65/216
c. 61/216
d. 59/216
e. None of the above

8. Which of the following could be a solution to the differential equation y^' + 4y^2 = 0?
a. y = e^2x
b. y = 2x^2
c. y =1/4x+1
d. y = e^4x
e. None of the above3

9. Which of the following could be a solution to the differential equation y^' + 4y = 0?
a. y = e-?4x
b. y = e^4x
c. y =1/4x+1
d. y = e^2x^2
e. None of the above

10. Which of the following could be a solution to the differential equation y^' - 4y = 0?
a. y = e^-4x
b. y = e^4x
c. y =1/4x+1
d. y = e^2x^2
e. None of the above

11. Which of the following could be a solution to the differential equation y^'- 4xy = 0?
a. y = e^-4x
b. y = e^4x
c. y =1/4x+1
d. y = e^2x^2
e. None of the above

12. Which of the following could be a solution to the differential equation y^' - 4x = 0?
a. y = e^2x
b. y = 4x
c. y = sin(2x)
d. y = 2x^2
e. None of the above

13. Which of the following could be a solution to the differential equation y^' - 4 = 0?
a. y = e^2x
b. y = 4x
c. y = sin(2x)
d. y = 2x^2
e. None of the above

Explanation / Answer

i think that 7)A 8)C 9)B 10)D 11)A 12)B 13)C

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