At what points is the function y= x+3 2 xỉ - 5x+6 continuous? Describe the set of x-values where the function is continuous, using interval notation. (Simplify your answer. Type your answer in interval notation.)

Q: y=3e^x + 4/∛x *differentiate the function.

A: Topic:- derivatives

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Q: Find the derivative of the following functions. Whenever possible, express answer in factored form.…

A: Explanation of the answer is as follows

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A: For a)

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A: solution

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A: 94) [sqrt(x)-sqrt(x+h)]/[h sqrt(x) sqrt(x+h)].   95) sqrt(x2+1) -x 96) sqrt(x+1) - sqrt(x).

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A: Given values are f8=24, f'8=5, f24=16, f'24=-6, g24=-29, g'24=-10,g(16)=-27, g'16=55 we need to find…

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A: Since you have asked multiple question, we will solve the first 3 question for you as per our guide…

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A: Solved using the given formula

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A: sunstitute   10e^x-e^{-x}=u

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A: Solution

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A: Given:     The curves 2y=2x2-6x+7                       y=x2-3x+72 ...1    Curve 2y=x+4…

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A: solution is given below..

Q: c) lim 818 sin(x+3)

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Q: If f ( x ) is a linear function, f ( − 2 ) = 0 , and f ( 3 ) = 2 , find an equation for f ( x )

A: We have, f-2 = 0f3 = 2 To determine: The expression of fx if it is a linear function.

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Q: write the quadratic in standard / vertex form by the completing the square ' f(x)= x^2 + 10x +3

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