prove that 12 div A; = √√√x² {√8 8¹k Ax} = dxr div A¹, where A; and Ai are the covariant and contravariant components of the same vector A.

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A: V=(4/3)pi5832 V=4pi1944 V=pi7776 now put pi=22/7 not 3.14 directly othwrise it will create error

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A: Since you have posted multipart question and we can answer three subparts. So, answering the first…

Q: Choose the connect one (1) L[Jo (at)] = p²+9² مد The

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Q: Recast the system of higher order differential equations as a first order system. u""=2u-3v…

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Q: The function f(x) is shown on the graph. Which type of function describes f(x)? O Exponential O…

A: We can check The function f(x) is shown on the graph. Which type of function describes f(x)? O…

Q: (B.) L ( ³x ++ -cost} { +4- dt 3 dx dt Where: x(0) = x '(o)=6 and x" (0) = 2

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Q: 2. A Venn diagram MUST be drawn for this problem. Please check your Given statements: If a shape is…

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Q: Let line L: x = 2t, y = 0, z = 3, and let line M: x = 0, y = 8 + s, z = 7+s, for some constants t…

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Q: n 3. For nx n matrix A. define R₁ = -1,i+j laij 1, then each eigenvalue of A is either in one of the…

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Q: In which form should one look for the particular solution of y" − 2y + 2y = x²eª cos(x) (you do not…

A: Given DE is  y"-2y'+2y=x2excos(x) ......(1) We find form of particular solution of DE (1).

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Q: 6. For any two nx n non-singular matrices A and B, then (a) K(A. B) ≥ K(A). K(B) (c) K(A. B) K(A).…

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Q: 6 - Investigate Interaction of Two Planes Plot the following and also their normal vectors. x-y-2z =…

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Q: o account the

A: To explain the difference of sequence and the series as,

Q: c. A certain radioactive material is known to decay at a rate proportional to the amount present. If…

A: let amount of material present at any time t be p(t) let p0 be the intial  amount of material at…

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Q: Find Laplace Transform of f(t) = cos3t By DEF.

A: We find the Laplace transform of cos(3t) by using definition.

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Q: {sech n}

A: Follow the steps.

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A: the scalar equation of a plane with normal  vector n=(A,B,C) is  AX+BY+CZ+D=0

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Q: Solve the initial value problem below using the method of Laplace transforms. y' +9y' + 18y = 160 e…

A: Some of the formula of Laplace transform are Leat=1s-aLy''=s2Y(s)-sy(0)-y'(0)L-11s-a=eat

Q: Compute the definite integral T/4 0 5 sin² (3x) dx

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Q: Let R={(x,y) ERxR: |x| = |v|). Then R a function on R. оо True False

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Q: Consider the model dP dt where P(t) represents the size of the population at time t. = 5P + 10P²,…

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Q: 1. tan² (x)+x²e² = 2 dx Order Linear / Nonlinear (circle the correct answer, 2. 6².0².…

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Q: Find a fundamental matrix of the following system, and then apply x(t) = Þ(t)(0) ¹x to find a…

A: NOTE. Answer form may vary depending upon choice of eigen vector.

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