11. Find the domain of f(x). a. f(x) = /42-7x. b. f(x) = log3(x - 38) %3D

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A:

Q: The logarithmic function f1x2  ln1x  12 has theasymptote x

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Q: 8. If logax = loga6, then x = M 9. logaN In 8 10. True or False. = 2. In 4

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Q: Find the equation of the vertical asymptote f(x) = log(x – 1)

A:

Q: If k is a positive constant, show that x^2 e^-kx approaches 0 as x --> ∞.

A: Given  The x2e-kx approaches 0 as x→∞.Where k is a positive constant .

Q: dx aluate: :S₁ (x+1) log(x+1) A In10 In[log(x+1)] + C 1 B -In[log(x+1)]+C In 10 O In 10 log² (x + 1)…

A: Topic:- application of integration

Q: Does the function f(x)= logarithm x with the base of 1/2 approach a certain real number as the value…

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

Q: Disprove the statement log(x + y) = log x + log y by, a) Letting y equal a positive constant of your…

A: Given  The statement log(x + y) = log x + log y

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Q: Find the equation of the vertical asymptote f(x) = log(x + 5)

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Q: at any point h (1, 1) is logx – x

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Q: 4. The domain of the logarithmic function f(x) = log, x is

A: fx=logax

Q: Find the equation of the vertical asymptote f(x) = log(x + 4)

A: Given,                f(x)= log(x+4)

Q: Find the equation of the vertical asymptote f(x)= log(x+1)

A: The equation of the vertical asymptote f(x)= log(x+1)

Q: Sketch on graph a) y = 2x-3+ 3  b) y = log2 (x – 4)

A: a)

Q: 22. Suppose f(x) = log x + log(x – 3). Find the x-value for which f(x) = 1.

A:

Q: 5. Which of the following functions grow faster than In x as x →o? Which grow at the same rate as In…

A: Hey, since there are multiple subparts posted, we will answer the first 3 subparts. If you want any…

Q: The logarithmic function f(x) = In(x – 1) has the asymptote x =

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A: We have curve y = m ln(x) + b And it has the points (12.5,2.4) and (62.3,8)

Q: (b) 2log(x – 3) – log(x – 1) = 0

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Q: 19) 3 log x + - log y - log z

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Q: II. Determine the derivative of the ff. logarithmic functions 1. y = 25 In 5x 2. y = -10 In 3x4 3. у…

A:

Q: 2. Compute for the value of x in a given logarithmic inequalities loga(x+1) > log:(x2). a. x > ½ b.…

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Q: 6. Which of the following functions grow faster than In x as x→∞? Which grow at the same rate as In…

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Q: 1. If the logarithmic parent function, f(x) = log4(x) is vertically stretched by a factor of 8,…

A: We have to calculate resulting function after translation.

Q: 2 Show that the following functions are harmonic in x and y: 2 log√x² + y²

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Q: Find Y for the following function: dx 3- y = log,(x3- x) 4- y = In 5- tan-1 V4x – 5

A: we have to find the derivative of the following

Q: 2. i) Now, on your calculators, compute the following: e-24 = log2 3 =

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Q: 4- If X is an exponential with parameter 1, then 2X is chi-square with 2 degrees of freedom. O True…

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Q: Determine the maximum and minimum values of the function f(x)=-4 •log 2x on the interval [1,4]

A: Given function is  on interval [1, 4].

Q: 5. The natural logarithmic function f(x) In x has the %3D asymptote x %3D

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Q: Find d (7ª). Type In(x) for the natural logartihtm function. dx

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Q: 36. Determine the x-intercept(s) of f(x)log2(3x-4)1

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Q: 5. Prove if the following function is differentiable y = x loge-*

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Q: b) Find the value of x that satisfies log(x+3)− log x = log x+log 2.

A: Follow the procedure given below.

Q: True or False The graph of f(x) = loga x, where a > 0and a ≠ 1, has an x-intercept equal to 1 and…

A: Given function is, fx=logax, where a>0 and a≠1.   Use the properties of logarithmic function, The…

Q: dx Evaluate: s (x+1) log(x+1) A --In 10 log² (x+1)+C 2 B In10 In[log(x+1)] + C с = -log² (x + 1) + C…

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Q: What is the linear approximation of log base 5 x at x=5

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Q: 4 If log3 (x + 1) – log3x = 2, then x equals: F - - 8. 6. G H 8. | 15

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Q: The natural logarithmic function f1x2  ln x has theasymptote x 

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A: topic - derivative of a function

Q: Solve for x (to four decimal places) in each of the following: (0.26) log25) (4x- f) (414)x (1/4)*+3…

A: (f) The given expression is,