(1) (a) Solve the following: 1 (i) 2*-6 8 (ii) log, (x+3) =1– log, (x-1) = -

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A: Laplace transform of the function

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Q: Tabular Method for Minimization Example: Determine all the prime implicants of the function defined ...

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A: A function f(x) is continuous at a point x=a if  fa-0=fa+0=fa  

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Q: 2. f(t) = e-at sin w tu(t) 3s+4 6. s2+9

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Q: 2. Proof that fis differentiable at x, thenf is continuos at xo By using f(x) – f(x.) = a(r) + B(r)

A: Here we use basic definition of continuous function.

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Q: 1. Suppose b,, b2, b3 .. Is a sequence defined by b, = 3, b2 = 9, bu2 + br-1 for all integers k >= 3...

A: We have to prove the given statement using mathematical induction.

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Q: 10. Prove that 7/2 TC sin 0 cos (cos a cosec 0) de 2-a (1-cos a). COS

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Q: Suppose that the function g is defined as follows. 2 if -3.5 <x<-2.5 -1 if -2.5 <x<-1.5 g(x) = if -1...

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Q: ze + 20 Donit make itake

A: Given x + y = 2   and  y = 312 = 72

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Q: A hospital district consists of six hospitals. The district administrators have decided that 48 new ...

A: The complete solution is in given below

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A: As per the company rule, we are supposed to solve three sub-parts of a multi-part problem. Therefore...

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A: According to our guidelines ,  i will solve only first three subparts. 

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Q: Consider the sequence r - 7 Xi+1 = x; i = 0, 1, 2, ... (1) To what value does this sequence converge...

A: Given: xi+1=xi-xi5-75xi4, i=0, 1, 2, ... To find: (1) To what value does this sequence converge. (2)...

Q: Let V = Mat2x2(R). Find a basis {A1, A2, A3, A4 } for V such that A? = A, for each j.

A: Given,       V = Mat 2x2(ℝ) And we have to find basis set  { A1 , A2 , A3 , A4 } such that Aj2 = Aj ...

Q: Graphing and Solving Quadratic Equ.. Roland Morris What relationship do you see between the graph of...

A: The given line is y=2x+4. Now, 2x+4=0 ⇒x=-2 So, y=2×(-2)+4 ⇒y=0

Q: If you could explain the process it would be greatly appreciated.

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Q: Explain in layman's term the idea of the Density of Q in R

A: This is a problem of Topology.

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Q: Let a, b, c e R, and consider the plane P with equation in vector form given by x = [a, b, 3] + s[a,...

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Q: CONVERGENCE TESTS AND MACLAURIN POYNOMIAL 6. a) Make a conjecture about the convergence of the serie...

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Q: Jesse has 4 friends and 5 coworkers. Each day in the year 2021, Jesse talked to some number of frien...

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Q: Find the Fourier expansion for the function intersad -ist <I fit) : t-t in the

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Q: 22+88

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A: Introduction: Logarithmic differentiation is used when the base and power of a function contain the ...