Show that for any real constants a and b, where b > 0, (n + a)» = ©(nº)

Q: Prove that f(x)= 2x-tan^1x-ln(x+√x^2+1) increasing on [0, infinity]

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Q: Give Three Functions  of Wronskian ?

A: To Give: Wronskian of three functions.   Wronskian:

Q: branch of z1/5 that is not continuous and positive on the imaginary axis?

A:

Q: find I of implicit function sec""cImcy)- In(8**) when yoo

A: 9999

Q: Prove that the function f(x) = x 5 + 2x 3 + 4x − 12 cannot have two real roots. (Hint: Use the first…

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Q: Find the constant a such that the function is continuous on the entire real line. Ax) = {2x2, (ах -…

A: Given that , the functionfx=2x2,x≥1ax-7,x<1We have to find constant a such that the function is…

Q: Show that f1x2 Vin x is right-continuous at x = 1.

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Q: The interval on which f(x) = 5 – 12x2 – 4x³ is concave up is: (-∞, –1) © (-1, 00) O (-0, 1) • (1,00)

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Q: Find the derivative of f(x) = 2² +8-2³ + 5z³. 0 (2) - 1/2 +8-235-24 + 152² O f(2)=1/22-²5 2¹ +152²…

A: The given function is; f(x)=x2/4 +8 - 5x5/3 +5x3.

Q: A box with an open top is to be constructed from a rectangular piece of cardboard with dimensions 14…

A: To find: The expression for the volume V of the box in the form of x. Given: The dimension of the…

Q: if cosh(x)=41/40 and x > 0, find the other hyperbolic functions of x

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Q: Assume that f is a polynomial and x = 10 is a critical number for f If f''(10) = -sqrt2 what do we…

A: A function y = f(x) has a critical point at (x, y) if f'(x) = 0 or f"(x) is not defined. But as we…

Q: Define wronskian of Two Functions?

A: Wronskian of two function: Let f(x) and g(x) be two differentiable functions, then wronskian of f(x)…

Q: True or False The cube root function is odd and is decreasing on the interval (-∞,∞).

A: we have to tell whether the given statement is True or False

Q: s discontinuous at a = -3, determine whether

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Q: Prove that constant function is differentiable at ever x ER.

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Give an example of a function that is not Riemann integrable.

A: To give example of a function that is not Riemann integrable :-

Q: Find four relations from {a,b} to {x,y} that are not functions from (a,b} to x, y}

A: We have to find four relations from {a, b} to {x, y} that are not functions from {a, b} to {x, y}.…

Q: Oz(-@) and Ør(@) are conjugate functions. That is, Px(-@) =Øx°(@) %3D and Oz"(-@) = , (@)

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Q: The principle of Analytic continuation:

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Q: Find four relations from {a, b} to {x, y} that are not functions from {a, b} to {x, y}.

A: It is given that the two sets are {a, b} and {x, y}. It is known that if A and B are the sets then…

Q: The derivative of f(x) = ax² will be greater than that of f(x) = ax, for a domain of (0,1), where…

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Q: Show that x + is increasing on [1, 0).

A:

Q: Determine the concavity of f (x) = x* 6x2 12 x + 2. O a. concave downward (-o, 3) and concave upward…

A: Given,           The function is fx=x3-6x2-12x+2.To find: The concavity of the function.We know…

Q: Verify Mean value theorem for the function f(x)=4x^3 over the interval  [0, 2].

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Q: Determine the values of a and b such that the function is differentiable on (-, x2 +b, x〉2

A: Given piecewise function is:A function is differentiable when it is continuous and the left and…

Q: what is the value of x in second iteration of the function f(x) = sinx - X +5, in the interval of…

A: According to the fundamental theorem of algebra, every algebraic equation has a root. If the…

Q: Show that x+1/x is increasing on [1,∞]

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Q: Verify mean value theorem for ƒ(x)=x' – 5x+6 over the interval [1,3].

A: Please refer to the image below

Q: Show that div (r x a) = 0

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Q: 5. Show that the functions x,x? -,x³ -x x are mutually orthogonal in the interval [-1,1].

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Q: Find an equation of the tangent line to f at a = 9. (Express numbers in exact form. Use symbolic…

A: Topic:- limits and application of derivatives

Q: Show that: sec²x + csc²x = sec2x.csc2x %3D

A: To show: sec2x + cosec2x = sec2x·cosec2x

Q: prove: f(x)=5x is continuous at x=2     note: please prove this in theorem format(two columns)

A: Consider the given function. y=5x Now, check the left first.…

Q: find intial value problem of constant c as a function of x

A: Given : The differential equation is : xy'+4y=6ex and y(x)=-4xy'+4y=6ex We have to find intial value…

Q: Verify Mean Value Theorem for the function f(x) = x in interval [0, 9] %3D

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Q: - the use write down Calculus in econamicd.

A: Use of Calculus in economics

Q: Fix a constant r>1 Using the Mean Value Theorem that enx > 1 + x for any fixed x >0 prove

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Q: 2 Vtan 0 de

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Q: prove that f(x)=3x^3-4x^2-x-3 is continuous over [-3,3]

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: hraj h(x) = 3x-2 x347

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Q: 2. Use the First Derivative Test with a number line to find the local extremes of the function Ax) =…

A: Solved below

Q: Show that cosh x> 1 + x² for all x.

A: comparison

Q: Verify Mean Value Theorem for the function 3x² – 4x + 5 in [-1,1] 1-tanx

A: Use mean value theorem

Q: Verify Mean value theorem for the function f(x) = 4x° over the interval [0, 2].

A: Question - a Given function, fx=4x3 Interval : [0, 2] Conditions of Mean value theorem: 1. f(x) is…

Q: Apply Definition 1.4 of Chapter IV to show that the function f(x) = 3x + 2 is integrable on the…

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Q: Find four relations from {a,b} to {x,y} that are not functions from {a,b} to {x,y}.

A: Given: Let A=a, b and B=x, y To Find: Four relations from A to B that are not functions.

Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.