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Q: A yacht sets off from the port in Abu Dhabi and travels 350 km at 145' towards the Persian Gulf and…

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Q: Find the unit vector in the direction in which f (x,y) =x+ sin(x + 2 ·y) increases most rapidly at…

A: Given: The given function is fx,y=x+sin(x+2y) at P(0,0).

Q: Find a parametrization of the curve ²/3 + y²/3 = 1 and use it to compute the area of the interior.

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A: The question mentions a beam of length (L) fixed at one end and subjected to a point load (P) at a…

Q: The normal component of the acceleration vector for an object with position vector r(t) = (cos(t),…

A: To check the given statement for True/False.The normal component of the acceleration vector for an…

Q: Q5/ Find the moment of inertia about the x-axis of a thin plate of density 8 = 1 bounded by the…

A: Given: Density δ = 1Circle x2+y2 = 4

Q: So ye -2y dy

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Q: For the following fig 20 mm h 20 mm b = 80 mm; h = 90 mm b I - хо -20 mm b The moment of inertia of…

A: The moment of inertia, also known as rotational inertia, is a property of an object that measures…

Q: Calculate the moment of inertia of the shaded area about the x-axis. 84 mm 33 mm ·*- -50 mm 50 mm =…

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Q: Find the velocity vector in terms of ur and utheta r=ea theta and d theta/dt=3

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Q: Assume that an object moves on a trajectory according to the equations x(t)=t+cost, y(t)=t−sint.…

A: An object moves on a trajectory according to the equations  Differentiating  with respect to t, we…

Q: Based on the shaded region shown in Figure 4a: (a) Determine the centroid of the shaded region.…

A: The complete solutions are given below

Q: Find the Torsion along the curve: X = (t-sin t)ê +(1- cos t)ê, +tê,. %3D

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Q: Dz: tow ord the find the unit vector Curve y =x? at

A: Find the unit vector towards the curve y = x2 at x= 1: r→t=xti^+ytj^y=x2:Let xt=t  and…

Q: When estimating the size of a sample required to obtain a given confidence level with proportion…

A: Given Data: a) p is between 0.2 and 0.4 Estimate p=0.4+0.22=0.3

Q: Find the moment of inertia of the area in the first quadrant bounded by the curves y = 9 – x² and y…

A: Moment of inertia bounded by the curves y2 and y1 about y-axis is  Iy=∫abx2(y2-y1)dx Consider the…

Q: Express he equation n" = 4y in poar corinaes.

A: Given equation x2=4y

Q: Q/B) Find the length of the cardioid curve: r 1+ cose

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Q: A horizontal curve on a 6-lane highway has a superelevation of 4% and a central angle of 15. The…

A: For a vehicle moving at a speed of v, having reaction time t and f is the coefficient of friction,…