Show that exp(x), x exp(x), and x² exp(x) are linearly independent functions.
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Q: For the flow of an incompressible fluid, the velocity in x-direction u = Find velocity component in…
A: GIVEN DATA - VELOCITY IN X-DIRECTION u=ax2+by VELOCITY INZ-DIRECTION ZERO WE HAVE TO FIND VELOCITY…
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Q: 9). The conditions u (0, t) = u (1, t) = 0 and ôu/ôt = 0 are necessary conditions for..... a). 1D…
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Q: In flow, at every point of the flow field, velocity is constant O uniform steady o turbulent O…
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Q: rove that, if a fluid experiences a pure rotation, the divergence of it's velocity is 0 and the curl…
A: If fluid components rotate around their axes while flowing along streamlines, the flow is…
Q: A 30 cm pipe carrying water, branches into two pipes of 20 cm and 15 cm diameter. If mean velocity…
A: A 30 centimetre water pipe is known to branch into two 20 cm and 15 cm diameter pipes.If the mean…
Q: =D4 Course da In a certain inhomogeneous linear ODE ym) +...+a,(t)y f(t). the functions y =t and…
A: As, y=t and y=t+t2.. are the solutions...
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Q: 3. During a fluid flow, the temperature is developed due to a) Increase in density b) Change in…
A: The fluid will flow with certain velocity. Due to that molecules in a fluid will collide and kinetic…
Q: Use the formal definition of the limit of a sequence to prove the following limit.
A: Let the function, For each value of ε we just need to find a value N which says that
Q: The differential equation of the system is
A: Option (b) is Correct.
Q: We are considering a homogeneous linear system Ax b, where b = 0 and with A being an nxn, then the…
A: From Homogeneous linear system Ax = b Where b = 0 One solution is non zero then it is non trivial…
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Q: C(s) R(s) ± G1 G2 G3 H1 H2
A: It is required to reduce given block diagram
Q: Which of the following is a scalar quantity A) electric current B) electric field C) Acceleration D)…
A: A) electric current = scalar quantity B) electric field = vector quantity C) Acceleration = vector…
Q: Using an appropriate method, find the general solution for the following differential equation, dy…
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Q: 24. In a two-dimensional incompressible flow, the component V vector is given as V = -x*y. Find Vy.…
A: Giventwo dimensional incompressible flowVx=-x2y
Q: A pipe (1) 550 mm in diameter branches into two pipes (2) and (3) of diameters 300 mm and 20 cm…
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Q: Dv 1 -+-V(v•v)-vx(Vxv) Dt at 2 where Dt +v.V is known as the "substantial derivative" operator = -
A: It is to be proved as, DvDt=∂v∂t+12∇v·v-v×∇×vWhere,DDt=∂∂t+v·∇
Q: Find the Inverse Laplace transformation for the function:
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Q: A horizontal beam of length 8 m is pinned at its left end so that it is free to rotate about that…
A: θ = 45o, L = 8 m
Q: Obtain the equations of motion of the system given below by the law of energy conservation.
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Q: Given the differential equation dy = x² + y² 2 dx = with y (0) 1, compute y (0.02) using Euler's…
A: Apply modified Euler's method with serp size 0.01
Q: Verify if the following functions are Linear or not. Support your conclusion with appropriate…
A: a. Given that f(x) = x/3 We know that slope intercept form y=mx+b Comparing with this equation y=…
Q: Steady, incompressible and inviscid water flows inside the given system, if the force F is needed to…
A: Solution:
Q: Suppose an xy-coordinate system is located in space such that the temperature 100 T at the point (x;…
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Q: Consider the mechanical energy equation: + VB² + g ZB = + V? + g ZA + w – loss 1 Vg + g Z - 2 VA + g…
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Q: Obtain the solution x(t) of the following differential equation:
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Q: A 30 cm pipe carrying water, branches into two pipes of 20 cm and 15 cm diameter. If mean velocity…
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Q: V: Use the chain rule to find the derivative of w= x² + y? with dw respect to t dt with x = cos t +…
A: Use chain rule to solve this problem
Q: How do you find the external forces' resultant?
A: The hinge at A gives the horizontal and the vertical reaction and the roller at B give only the…
Q: The ratio between linear velocity and radius of circular path is
A: The ratio between linear velocity and radius of the circular path is known as angular velocity. The…
Q: For the flow of an incompressible fluid, the velocity in x-direction u ax by and velocity in z…
A: We have, Velocity of flow of an incompressible fluid in x-direction is u=ax2+by Velocity of flow of…
Q: Obtain the transfer functions X,(s)/U(s)
A: given mechanical system
Q: Consider the following: 1. Point function 2. Property of the system 3. Intensive property 4. Exact…
A: The properties which are independent of mass are known as intensive properties. The Extensive…
Q: The differential equations of the system is
A: Given: TO determine: Differential equation of the system
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Q: 500 N AY SOON Find the resultant system of converging forces in the figure. Below 200NX
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Q: Example C.W: by using the definition of the derivative, find dy/dx of the function 1- f2) fx) - х*+x…
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- Which of the following is a scalar quantity A) electric current B) electric field C) Acceleration D) linear momentumIf a spring with elastic constant k [N/m] is deformed at distance x [m], then its potential energy is:A physical quantity which requires only magnitude for its complete description is known as vector *ن
- Show step by step x = 100 SN = 7Subject : Mechanical engineering ,Fluid mechanics. Question: A stream of water 75 mm in diameter discharges into the atmosphere at a velocity 24.4 m/s. Find the power in the jet using the datum plane through the center of the jet. Answer is 33 kWA two dimensional conservation force is zero on the X and Y Axes and satisfied condition (dfx/dy)= (dfy/dx)=(4N/m^2)by. What is the magnitude of the force at the point x=y=1m
- Find the result of the system of converging forces?A sample is subjected to a hydraulic gradient of dhlax = 01 cm/cm in the x clirection and a flux qy of 0.001 cm/s in the y direction in response to this gradient (there is no gradient in the y direction). The same sample is then subjected to a hydraulic gradient of @hidy = 0.01 cm/cm in the y direction and a flux qx is measured in the x direction in response to this gradient (there is no gradient in the x direction). What is the magnitude of the flux qx in response to @hdy!Which of the following properties is a path variable A. Internal energy B. Heat
- A lightweight drone (1.00 kg) is launched at 800 m high and moves upward at a constant velocity (while ignoring the effects of gravity only on the drone). The balloon, when measured at a horizontal distance from you, is about 1600 m away from you. At the moment when the drone moves, you shoot a bullet (weight =180 g) with an initial velocity of 1009 m/s at a fixed angle α, where sin α=3/5 and cos α= 4/5. (g = 9.8 m/s2) c. What is the upward velocity of the drone?engineering mechanics Find the resultant and direction from positive x axis of forces P, T, F, and W acting on a body.A pipe of diameter 11 cm conveying 200 liters/s of water has bend of angle (θ = 90⁰if last digit is zero/even and θ = 0⁰ if last digit is odd) through horizontal plane. Find theresultant force exerted on the bend if the pressure at the inlet and outlet of the bend are 15N/cm2 and 10 N/cm2respectively.