A Survey On Applied Mathematics

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Pravin Patil College of Diploma Engineering and Technology, Bhayandar East, Thane-401105

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1. ʃsinxdx *

5 points

-cosx

cosx

sinx

-sinx

2. A f(x) is an even function if_______________ *

5 points

f(-x) = f(x)

f(-x) = -f(x)

f(x) having even numbers

f(-x) having even numbers

3. To apply integration parts rule, we select u in the order of_______________ *

5 points

BLTEA

EITLA

LETAI

LIATE

4. ʃ logxdx=______________ *

5 points

logx+1/x

logx

1/x

x(logx-1)+c

5. dy/dx (secx) = _______________ *

5 points

secxtanx

secxcotx

cosxcotx

tanxcotx

6. ʃ a^x dx=______________ *

5 points

x^a . log x

a^x.loga

x^a / logx

a^x/loga

7. ʃ f'(x)/f(x) dx =________________ *

5 points

f(logx)

log[f'(x)]

loglxl

loglf(x)l

8. dy/dx (uv) =_________________ *

5 points

u+v+u'+v'

uv'+vu'

uv+u'v'

v'u'+u'v'

9. If the question is in the form of ʃ f(x).f'(x) dx then to solve this we use *

5 points

none of above

integration by parts method

partial fraction method

substitution method

10. degree of a differential equation is the__________ *

5 points

degree of y

degree of x

same as order of derivative

degree of highest order derivative

11. derivative of a constant 'k' is_______________ *

5 points

both 1 and 0

12. ʃ k dx =__________ where 'k' is a constant *

5 points

kx+c

k+c

1+c

13. If f(x)=(x+2)/(x-1) then f(4)+f(-5)=___________ *

5 points

7/5

5/2

9/7

7/9

14. To form a differential equation, we are differentiating the equation as many times as the ______________ *

5 points

order of y

number of arbitrary constants

order of x

number of fixed constants

15. Solution of a linear differential equation is given as__________ *

5 points

IF=ʃ Qdx+c

y.IF=ʃ Q.IFdx+c

ʃ IF dx

16. ʃ tanx dx =__________ *

5 points

none of above

loglsecxl

loglsinxl

logltanxl

17. If f(x)= sinx then f(π+x)=___________ *

5 points

cosx

-cosx

sinx

-sinx

18. Area under the curve y=2x+1 and the ordinates x=0 & x=2 will be____________ *

5 points

4 sq. cm.

6 sq. cm.

9 sq. cm.

none of above

19. ʃ uv dx= _______________ *

5 points

none of above

ʃ v dx - ʃ v dx. u' dx

v . ʃ u dx + ʃ [ ʃ udx . v' ] dx

u ʃ v dx - ʃ [ʃ v dx . u']dx

20. A function is known as a parametric function if________ *

5 points

x and y both are given in terms of third parameter

x is given only in terms of y

y is given only in terms of x

only y is given in terms of third parameter

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