4. Consider the function g(x) = 29 5x a. What is the domain of g? How do you know? b. Let a be a real number. What is the value of g (2a), assuming that this expression is defined? c. What is the value of 2g(a), assuming that this expression is defined?

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A: Please see the below picture for detailed solution.

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A: Since this a homogeneous differential equation of degree 2 thats why we replace y=vx and solve it to…

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A: Answer (4) We have to solve by extracting square roots (x - 2)2  = 16

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A: This question can be solved using the concept of functions and its domain.

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A: we will do as per the question.

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A: Given,            4.717171....To find : Express the repeating decimal as a fraction.

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A: We can apply  A-1= 1/det.of A *(Adjoints of A)

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A:

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A: We can solve the given question as follows:

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A: Please see the below picture for detailed solution.

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A: Given problem:- 4.   2y2+8y-10=0

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Q: b. Z Z-3

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A:

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A: We have to answer there subparts in this question and they are related to rate change.

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A: Solution

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A: To find newton divided difference table ,  For 3rd column , we will use formula   (f(xi +1) - f(xi)…

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A: We have to find the values  of slope at given value of x.

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A: First we integrate with respect to x

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A: Here we have to solve the quadratic equation.

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A:

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A: The given differential equation,      dydx=18y12+4x2y12 we have to find the general solution of the…

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A: