Find the rate of change of the volume of a right circular cone with radius a cm and height c cm, if the increasing rate if base radius is 1.2 cm/s meanwhile the decreasing rate of height is 5.0 cm/s. (c) The first digit of your matrix number

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A: Given is the Jacobian matrix  J=-3101

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Q: 1. Find the numerical rank with tolerance 0.9 of the matrix 3 2 A = -4 -5

A: Answer

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A: We first find eigenvalues and eigenvectors of the coefficient matrix then find solution.

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Q: 4. Determine the gradient and the Hessian of the following function f(2) = a|l2| + ||Az - b|? where…

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Q: A system of differential equations has an equilibrium point at the origin with the Jacobian matrix…

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A: Consider the given system.

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Q: (i) Explain the biological meaning of each parameter in model (5). (ii) Find all nullclines of…

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Q: How do we transform System A into System B? U x Equation [A1] → Equation [B1] O x Equation [A2] →…

A: Given:  System A -5x + 4y = 7     A18x - 7y = -10  A2 System B -5x + 4y = 7     B1-2x + y = 4…

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Q: A. SOLUTION OF NON-HOMOGENEOUS SYSTEM GIVEN: 7 -3 4 0 0-7 A-2 1-1 4 6 010-3 0-3-5 1.1 TRANSFORM TO…

A: A=7-340-721-146010-3-5

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Q: A system is described by the given differential equation, find the transfer function of the system.

A: We will find out the required transfer function for given differential equation of a system.

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A: This question is based on the knowledge of conservation of momentum of a system.

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Q: Give me an example of the topic LU Decomposition with complete solution.

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Q: The value of the momentum of a system is the same at a later time as at an earlier time if there are…

A: Solution: The momentum of a system is conserved whether it is an inelastic or elastic collision.

Q: 3.2 The RREF of the augmented matrix corresponding to the system you produced in the first step is…

A: Given: Let's solve the following  1)The RREF of the augmented matrix associated with the system you…

Q: To examine the stability of a control system, the poles of the system (roots of the denominator of…

A: Here x6+10x5+35x4+315x3+12x2-140x+2.5=0Let fx=x6+10x5+35x4+315x3+12x2-140x+2.5…

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