13-16 Use the definition of continuity and the properties of limits to show that the function is continuous at the given number a. 13. f(x)= 3x² + (x + 2)², a=-1

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A: NOTE: Refresh your page if you can't see any equations. . the given function is here we can write

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A: Topic = Area

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A: This is a problem related to graph of the limit function. Please follow the procedure given below.

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A: Follow the procedure given below .

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Q: y = c x2

A: Topic = Derivative

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A: solution is given below...

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Q: I need the correct answer for all of them please.

A: Here we have to find the local and absolute extrema.

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A: As we know that; The Sum/Difference rule: f±g'=f'±g' The Power law: ddxxn=nxn-1 And the common…

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A: NOTE: Refresh your page if you can't see any equations. . as we can see from the graph, points…

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A: A sinosoidal curve can be view as y=Asin(kx)+C, where A is the Amplitude, k is the period, and C is…

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A: Here we have to find the type of differential equation it's order and degree with linear or…

Q: - 2. f(x) = x³ = 5x + 4, at x = 1

A: slope of the curve fx=x3-5x+4, at x=1

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A: As per the guidelines we can solve only one question at a time, so if you need more answers kindly…

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Q: You have the following data Y=12, 8,16, 7, 8, 9, 20, 4 The Skew modulus is

A: Skew modulus = 3(mean- median)/standard deviation

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A: NOTE: Refresh your page if you can't see any equations. . t 1 1.5 2 2.5 3 C 0.34 0.26 0.2 0.14…

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A: We can find the domain and range in the below steps.

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A: I have appended the formula used in solution part.

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A: Integrate: ∫ x2cosxdx

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A: The null hypothesis specifies a value of p for the population.

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A: We can find the answers in the below steps.

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Q: Q13 If S, 4+ is the nth partial sum for the infinite series find the value of ay A) - B)-- (C)- D)…

A: We can solve this as follows:

Q: 7.    Evaluate the integral, which has irreducible quadratic factors. 7 (x − 7)(x2 + 2x + 9)  dx…

A: Given  ∫(x-7)(x2+2x+9)dx

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A: Let 1-x = t

Q: (a) Graph the pdf. f(x) 0.6 0.5 0.4 0.3 0.2 0.1 1 0 0.025 0.025x+0.4 dx= (b) Calculate P(X ≤ 4). 2…

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