|The correct steps to evaluate lim (x'lnx) x→0+ i. 0 x3 ii. lim -3 x-0 iii. lim x→0+ Inx iv. lim x→0+

Q: -3 ft- -4 ft- 60 B 1.5 ft 500 ft-lb D 1.5 ft

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Q: H Find Ca) sThat deflection & Bree ends become Zero. 24 ANS 3. 13 16

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Q: 2. Test for exactness. If exact, solve. (a) (x² + y²) – 2xyy' = 0 (b) e3º (dr + 3r d0) = 0 (c)…

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Q: Solve the boundary value problem of y" +25y = 0 where boundary conditions y' (0) = 6, y' (π) = -9

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Q: 20 kN 5 kN/m P = B C D 4 m - 3 m 2 m Figure Q2

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Q: H.W\Find the Volume by using Prismoidal Formula Sta. Cross-section Right f(1.1/6.2), C(1.5/6.6)…

A: Prismoidal formula is used to calculate the earthwork quantities.The prismoidal formula for earth…

Q: 2. cos2xcos7xdx

A: Consider the given equation ∫cos2xcos7xdx Use the identity cosxcosy=12cosx+y+cosx-y…

Q: 2) If y In (tanx)show that y = 2csc2x =

A: derivative of (ln x) w.r.t x d(ln x)dx= 1x and derivative of tan x w.r.t. x d(tan x)dx= sec2x

Q: 5. Draw the FDBS of member ADB and BEC 1m 1m В E 1 m D 1.6 m A

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Q: Complete the following differential level notes for a double-rodded line from BM1 to BM2. Show the…

A: Complete the following differential level notes

Q: method and take E = 200GPA, I = 55x10 7 kN/ m B

A: Given- E=200GpaI=55×106

Q: Required: Vertical displacement at C PL AE E MB = 0 Fal (6m) – 50kN (2.5m) =0 Fa = 20.83kN %3D Steel…

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Q: نقطة واحدة Control volume boundary 1-2- 2 200 mm diam Water v² Pz P₂ + 2g Y Which equation is true?…

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Q: D2 +3xD-6y =0. Find y(0.2) by Galeskin method.

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Q: 6.0 kN 2.0 kN/m C B - 1.0 m 1.0 m »« 2.0 m 4.0 m

A: Apply equilibrium condition : ∑FX=0∑FY=0∑M=0

Q: 1. Draw SD,BMD for the following if settlement at B reach to 10 cm. IS AN El-cotant

A: The shear force at any section is the algebraic summation of all the transverse forces either to the…

Q: In figure, determine the value of P just sufficient to start the 10°wedge under the 400 Ib block.…

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Q: A sn of Ex = 0.40x10-3 and Ey = 0.30x10-3, determine o, . Use E=110 GPa and v = 0.35 Oy

A: Given : ∈x=0.40×10-3∈y=0.30×10-3μ=0.35E = 110 GPa   = 110×103 MPa

Q: y(2xy2 – 3)dx + (3x²y² – 3x + 4y)dy = 0

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Q: Determine velocity and the residual pressure at the demand center. Assume f=0.029. DQ-0.75 m/min El.…

A: Given diagram: Friction factor (f) = 0.029

Q: Shear and Moment Diagram: 1200 lb 600 lb/ft B A D -2 ft→+2 ft- – 4 ft 500 lb Shear Equation Moment…

A: To draw SFD and BMD

Q: 5. (D² – 1)y = e* + 1.

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Q: х-1 f : y=- if x<3 2x+1 if 3<x

A: Here function is right hand continuous

Q: 1 Determine dy/dx given y = (2u² – 1)7 if u = x + 2

A: To determine the derivative w.r.t. x.   Given, y=2u2-157, and u=x+12   First we must transform the…

Q: 6.0 KN 1.0 m-1.0 m -4.0 m 2.0 kN/m 2.0 m B 000

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Q: The centre of gravity of a semi-circle lies at a distance of ---- from its base measured along the…

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Q: Evaluate the ff. 1. ∫dx/1+e^x 2. ∫sec √x dx/√x

A: i have solved 1 &amp;2 question , i am unable to identify the 3rd question( please put the brackets…

Q: -H=0.5 H = 0.2 - A 10 ft 40°

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Q: Q2: Determine (Y). D2 Y Q I/sec L (m) D1 D2 100 0.8 2.5 0.36 D2 Y D1 + Hg-

A: Given Q = 100 l/sec D2/D1 = 0.8 y/D2 = 2.5 and L = 0.36 m

Q: 1.3.5 Problems 1. Evaluate u v where u = e, +3e, - 2e,, v = 4e,- 2e, +4e,.

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Q: find dy/dx for the flowing * y = secʻx – tan" x

A: Let's first simplified the given function so, that its differentiation will be easy

Q: A = 6, B =3

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Q: Water Area of segment of = (1/2)r2[(T/180)0 – sine] a circle Gate ACB is in a shape of a sector of a…

A: Introduction- A circular sector, commonly defined as a circle sector or disc sector, is a closed…

Q: Solve the IVP of Bernoulli Differential equation y' + 2/x (y) =-x^9y^5;y(-1)=2 A. 16=y^4(32x^10 -…

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Q: Evaluate the double integral S 2 – z – y dydz. O 0.82 O 1.04 O 0.67 O 0.92

A: To evaluate the given double integral.   Given: I=∫01∫01-x22-x-y dydx

Q: d 1.59 m d = 5.22 feet Problem 8-12 0-mm-diameter concrete pipe is laid on a slope of 1 m per 500 m…

A: To Determine From where sinθ is taken from, in the solution given.

Q: Verify whether the following are valid potential functions: 4 – 4²- 5y² (1) = 2r + 5y ץ ץייו I"/

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Q: Y A x C Given: x=2.335 m, y = 2.335 m w= 2.771 kN T= 160.983 MPa F.S. = 2.46 Required: Diameter of…

A: Given Data:X=2.335my=2.335mw=2.771 kNζ=160.983 MpaF.S = 2.46

Q: A D 4 kN 6 m 4 m C 2 m 5 m E +2.5 m- B. E

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Q: Problem 1. Distance of point of zero shear between points A and B from point A 2.5 k/ft 1 k/ft E -20…

A: We have to determine the value of distance of point of zero shear between points A and B from the…

Q: posite open channel of varying roughness ng roughness coefficient (ne) The vertical and slantıng…

A: According to given data

Q: (-6+ 15x = 3y 1-ky +9 = 10x Find the value of k such that the system is inconsistent.

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Q: g thát wheel A rôtátéš is true? B - 51

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Q: y TB Tp TE (1) (2) (3) (4) |A D L1 L2 L3 L4

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Q: 1.7' swers: i A 41° C B 49 lb ft lb

A: GIVEN DATA:-⇒Tension in AB⇒TAB= 49 lb

Q: y 30° F2 = 200 N 12 13 F3= 260 N

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Q: F = 9.8 lb 34 A 0.90" -y 2.75"

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Q: 3. Solve dy/dx - cos x = cos x cot^2y show your solution a. 2y + sin 2y = -4 sinx + c b. 2y - sin…

A: The given differential equation dy/dx = cosx + cosxcot2y dy/dx = (1+ cot2y) cosx Now we can easily…

Q: 5. Draw the FDBS of member ADB and BE 1 m 1m B C E 1 m D 1.6 m

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Dimensional homogeneity

The term dimensional homogeneity means that in an equation, the dimensions of each term on both sides are equal, which means the dimensions of the left-hand side (LHS) of an equation are similar to the dimensions of the right-hand side (RHS). For a dimensionally homogeneous equation, the powers of fundamental dimensions will be identical on both sides of the equation.