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The yp value of (D²− 3D+ 2)y = e^{3x}


A) 1/2 e^{3x}


B) e^{3x}


C) 2e^{3x}. D) 3e^{3x}


The value of 1/D²+3D (2 + 6x) =


A) x


B) x² C) 0 D) 1


Solution of (D³ - 2D² - 3D)y = 0


A) y = C1.₁e^{x} + C₂е^{-x }+ С3.e^{3x} B) y = C1e^x + C₂е^{-x} + С3.e^{-3x}


C) y = C1+C₂е^{-x} + С3.e^{3x}


D) y = C₁+C₂е^{-x} + С3e^{-3x}


If f(x, y) = 1, then the value of ∫∫R 1 dxdy gives


A) 2 * Area of the region R


B) 1/2* Area of the region

C) Area of the region R R


D) 0


If V = x²z²i-2y²z²j+ xy²zk then Curl V at (3,2,1) is


A) 20i + 14k


B)2i + 14k


C)14j+20k


D) 20i + 14j


The unit normal to the surface x² + y² + z² = 3 at (1,1,1) is A)1/√16 (2i+2j+2k) B)1/√3(i+j+ k)

C) 1/√6(i+2j+3k)

D)1/√3(i+2j+2k)


If Ø(x, y, z) = x² - y²-2²-2, then ∇Ø at (2,1,-1) is


A) 4i +2j-2k

B)4i-2j-2k

C) 4i + 2j + 2k

D)4i - 2j +2k


For what kind of solution/mixture we may take DAB=DBA?


Water discharge through a pipe of length 50m and diameter 0.5m at 3m3 /s. For this flow, f = 0.025 . Determine the head loss through the model pipe for a scale ratio of 1:10.


The head on a spillway is 1.5m and the discharge is 100m3 /min. What is the head on the scale model of 1:80? Determine the model discharge. 


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