Applied Mathematics Quiz: Test!
25 Questions
| Total Attempts: 221
(187).jpg "Applied Mathematics Quiz: Test!")
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Questions and Answers
- 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 logex
- 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 e2t sin 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 ebtcos 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
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