In writing v as a linear combination of "1,"2 &uz ( if possible) given: y = (3,0, – 6) , u , = (1, – 1,2), u,= (2,4, - 2) , uz=(1,2, – 4) & c,.c2, cz as arbitrary constants find c2.

Q: H.W 2/ Answer the following points i. Find the first three nonzero terms of Maclaurin series for the…

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Q: Q4: Consider the two vectors A= (7i-7j)m, B= (-14i-5j)m. Calculate: (a) A+B (b) A-B (c) |A+B[ (d)…

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Q: Identify the function P (x) and Q (x) if the differential equation (1 + cos a) y sin x (sin x + sin…

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Q: Part B: If f(x) = x -1 find f(3) and f(f-(7).

A: Concept: To find inverse of an algebraic function we first replace the term ‘y’ with ‘x’ and ‘x’…

Q: Find the partial derivatives of f(x, y) = 4x°y". (a) f-(x, y) = | (b) fy(x, y) = (c) fa(5, y) =| (d)…

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Q: Use the fact that the volume of a tetrahedron with adjacent edges given by the vectors u, v and w is…

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Q: Example: Let u =2 i+j,v=i+ j and w =i -j. Find scalars a and b such that u = a v +b w.

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Q: Determine the value of a scalar a if the following three vectors are to lie in the same plane :  A…

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Q: Show that g(x) = 2x² + 3-3 has a real zero using the Intermediate Value Theorem.

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Q: a is arbitrary 1. let x=1, y=2 4y^2=ax b is arbitrary 2. let x=1, y=2 x+2y=b

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Q: ) If A= B x C, find A given that         2 1 0                    2 0            B = -1 2 -3…

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Q: The displacement u(x.t) of a string of length 1= 2 and constant c2 = 4 with both ends fixed and…

A: given Dataf(x)=x2-2xu(x,t)=(1,2)let us check dfdxat x= 1=2x-2dfdxat x=1=2(1)-2=0the initial…

Q: Prove that AB=A(By)=B(Ay) Let A=xD+2 and B=xD-1

A: Solution: A = x D+2; B= x D-1 Multiplying A and B AB = ( x D + 2) (x D - 1)=x2 D2 + x D - 2…

Q: -tan 3. If A = 2| and I is an identity matrix of the same size, show that tan 2 I+ A = (I – A) [cos…

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Q: Apply de'Moivre's theorem or otherwise to solve for Zo and C from these expressions given below:…

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Q: Find the conjugate of z. If z (5 + i) - 3+4i i Simpli fy, 1+? 2

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Q: 5.C.b. Is (4.3^3)=(2^2 27). Yes O No 5.C.C. What is the first and second element of (3, 9)? First…

A: 4.33=22.27 4.33=2(2.27×3/3) 4.33=(22.27/3)3 4.33=(20.7567)3 4.33=1.6893 Powers are same but base…

Laws of Equilibrium

A body is said to be in equilibrium if the system of forces acting on the body tends to keep the body at rest, in other words, there is no translation motion or net torque on the body. Under such conditions, the equilibrium conditions are to be applied to analyze the condition. The branch of mechanics that deals with this condition is known as 'statics'. Under equilibrium, there are no net forces on the body.