Applied Mathematics Quiz: Test!

25 Questions | By Allexamreview06 | Last updated: Mar 21, 2022 | Total Attempts: 355

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1.

The differential of 9x⁻⁶ is:
- A.
  
  9x⁻⁶
- B.
  
  54x⁻⁶
- C.
  
  -54x⁻⁷
- D.
  
  -9x⁻⁵
2.

D/dx cosecx
- A.
  
  -cosecx cotx
- B.
  
  Tanx secx
- C.
  
  -tanx secx
- D.
  
  Cosecx cotx
3.

The differential of tanx+1/tanx is
- A.
  
  Tanx+cotx
- B.
  
  Cosx+cosecx
- C.
  
  Sec²x-cosec²x
- D.
  
  Cosx+sec²x+sinx
4.

D/dx log_ex
- A.
  
  X
- B.
  
  1/x
- C.
  
  X²
- D.
  
  1/x²
5.

D/dx(x²log x)
- A.
  
  X(1+2log x)
- B.
  
  X/(1+2log x)
- C.
  
  X²(1+2 log x)
- D.
  
  X²/(1+2 log x)
6.

D/dx(tan^-1x)
- A.
  
  1/1+x²
- B.
  
  1(1+x²)
- C.
  
  -1/1+x²
- D.
  
  -1(1+x²)
7.

∫secx tanx dx
- A.
  
  Sinx
- B.
  
  -cotx
- C.
  
  Secx
- D.
  
  Tanx
8.

∫(1/x√x²-1)
- A.
  
  Tan⁻¹x
- B.
  
  Sec⁻¹x
- C.
  
  Sin⁻¹x
- D.
  
  Cos⁻¹ x
9.

∫6 sinx dx
- A.
  
  -6 cosx+c
- B.
  
  6 cosx+c
- C.
  
  -6 cosecx+c
- D.
  
  6 cosecx+c
10.

∫ cosec²x dx
- A.
  
  -sinx
- B.
  
  Sinx
- C.
  
  Sec²x
- D.
  
  -cotx
11.

I³
- A.
  
  I
- B.
  
  -i
- C.
  
  I³
- D.
  
  I²
12.

If (x+3i)=(4+yi) then value of x and y is:
- A.
  
  X=3, y=3
- B.
  
  X=4 ,y=3
- C.
  
  X=y=4
- D.
  
  Y=3,x=4
13.

Find out the sum of a complex numbers (2+3i) with its conjugate complex number.
- A.
  
  4
- B.
  
  3
- C.
  
  2
- D.
  
  5
14.

Find out the multiplication of complex numbers (2+3i) with its conjugate complex number.
- A.
  
  6
- B.
  
  5
- C.
  
  13
- D.
  
  2
15.

I⁶¹
- A.
  
  61
- B.
  
  -i
- C.
  
  I
- D.
  
  I⁻¹
16.

Find out the standard equation of Parabola.
- A.
  
  X²+y²=a²
- B.
  
  Y²=4ax
- C.
  
  X²⁄a²+y²/b²=1
- D.
  
  X²⁄a²-y²/b²=1
17.

Find out the value of x if the point(x,3) has a distance of 5 from the origin point.
- A.
  
  3
- B.
  
  ±9
- C.
  
  ±4
- D.
  
  ±16
18.

Find out the distance between point (2,3) and (4,1)
- A.
  
  10
- B.
  
  16
- C.
  
  2√2
- D.
  
  √2
19.

Which one is the Ellipse equation?
- A.
  
  X²⁄a²+y²/b²=1
- B.
  
  X²+y²=a²
- C.
  
  X²⁄a²-y²/b²=1
- D.
  
  Y²=4ax
20.

Find out the distance of the point (5,-2) from the y-axis.
- A.
  
  5
- B.
  
  -2
- C.
  
  3
- D.
  
  0
21.

Laplace transform of cosh at?
- A.
  
  S/s²-a²
- B.
  
  S²-a²/s
- C.
  
  A/s²-a²
- D.
  
  S²-a²/a
22.

Laplace transform of a impulse function is:
- A.
  
  1/s
- B.
  
  1/s²
- C.
  
  S²+1
- D.
  
  S²-1
23.

Laplace transform of e^2tsin 4t
- A.
  
  4/(s-2)²-a²
- B.
  
  4/(s-2)²+a²
- C.
  
  S-2/(s-2)²+a²
- D.
  
  (s-2)²+a²/s-2
24.

Laplace of e^btcos at:
- A.
  
  S+b/(s-b)²+a²
- B.
  
  A/(s-a)²+b²
- C.
  
  S-b/(s-b)²+a²
- D.
  
  A+(s-b)²/a
25.

Laplace of e^-5t
- A.
  
  1/s-5
- B.
  
  S-5
- C.
  
  1/s+5
- D.
  
  S+5