Differential Equations Test

Result

Differential Equations Test - 22

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Weekly Quiz Competition

Question 1
4 / -1

The solution of the differential equation

A

B

C

D
Question 2
4 / -1

A

B

C

D
Question 3
4 / -1

A
Both I and II is correct

B
Neither I nor II is incorrect

C
I is correct, II is incorrect

D
I is incorrect, II is correct
Question 4
4 / -1

Let the population of rabbits surviving at a time t be governed by the differential equation

A
400 - 300e^t/2

B
300 - 200e^t/2

C
600 - 500e^t/2

D
400 - 300e^-t/2
Question 5
4 / -1

The equation of the curve for which the square of the ordinate is twice the rectangle contained by the abscissa and the intercept of the normal on X - axis and passing through (2,1) is

A
x² + y² - x = 0

B
4x² + 2y² - 9y = 0

C
2x² + 4y² - 9x = 0

D
4x² + 2y² - 9x = 0
Question 6
4 / -1

A gardener is digging a plot of land. As he gets tried, he works more slowly. After t min, he is digging at a rate of 2/√t m²/min. How long will take him to digging an area of 40 sqm ?

A
100 min

B
10 min

C
30 mm

D
40 min
Question 7
4 / -1

A
0

B
3

C
1

D
2
Question 8
4 / -1

A

B

C

D
Question 9
4 / -1

A

B

C

D
Question 10
4 / -1

A present, a firm is manufacturing 2000 items, It is estimated that the rate of change of production P with respect to additional number of workers x is given by dp/dx = 100 - 12√x. If the firm employees 25 more workers, then the new level of production of item is

A
2500

B
3000

C
3500

D
4500