Determine if the following statement is True or False. If the statement is true, provide an explanation. If the statement is false, provide a counterexample showing why the statement is false. f'(6) = DNE, then lim,-6 f(x) = DNE %3D

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A: We will answer to the question 4a only as it is mentioned and demanded. 

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A: Solution is written in below steps.

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A: In this question we have to find which differential equation involve differential.

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A: Differentiate given function with respect to y treat x as a constant. 

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A: Given query is to find series converges or diverges.

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A: Given,            y = 3 x2/3

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A: Given:    Data is given

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A: Given: f(x)=17. g(x)=6sin 2x h(x)=3cos²x

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A: Given query is to find the solution of the equation.

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A: Given graph  

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A: First we find r'(t) then put t=1

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Q: 2 5. f(x) = x3

A: We will use the definition of a derivative to solve this question.

Q: 4x + 1, x 4 (i) lim h(æ) (ii) lim h(x) = z+4+ (iйї) lim h(2) — (iv) justification Answer=

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Q: A box is partially filled with liquid. The length of the box is 18 inches. The width of the box is 1...

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Q: ; find value of matrix A eigen -2 A = 2. 2.

A: To find the eigen value of the given matrix A , we have to evaluate the determinant of A-λI and then...

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A: Given y=fu and u=gx, to find dydx by using Leibniz's notation for the chain rule: dydx=dydududx.y=5u...

Q: If f(x) = 8 cot-1x + 5, then find the value of f'(-3) is, 8 10 -8 10 -5 10 -3 10 8.

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Q: 4か さ n=0

A: To determine whether the given sequence converges or diverges.1+4n4nn=0∞

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A: