Find the average rate of change of the function f(x)=1/x−1 on the interval [3,6]

Q: Problem 4. number, using the following steps. In(x) xxx0.01 (a) Compute lim (b) Compute lim In(x)…

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Q: Which one of the following graphs fits the descriptions given about an open interval containing…

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Q: 2. Given the rational function f(x) = make a sign diagram for the first derivative only, and find…

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Q: 46. y = [x + (x + sin²x)³]4

A: Given y=x+x+sin2x34

Q: 47-56. Derivatives of inverse functions at a point Consider the following functions. In each case,…

A: f(x)=log103x  ; 0,13 We have to find, ddxf-1(0)

Q: If you copy a document on a machine, you should get a similar copy. Suppose you want to reduce a…

A: If you copy a document on a machine, you should get a similar copy. Suppose you want to reduce a…

Q: 24 Which of the following functions is not differentiable on all of its domain? Select one…

A: We have given functions (i) fx=x+1ex Differentiable everywhere on its domain.  (ii) fx=x2-1 This is…

Q: Let k(x) = (x + 2)²-5. Find the average rate of change of k(x) between x = -3 and x = 6.

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

Q: Graph P(x) = x²³ -3x² + 4x +12 (list all steps 2

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Q: that are tangent to each other at point B and ray DE is tangent to both semicircles at points E and…

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Q: The polynomial of degree 3, P(x), has a root of multiplicity of 2 at x = 1 and a root at x =…

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Q: 4. A rain gutter is to be constructed from a metal sheet of width 30 cm by bending up one-third of…

A: Concept: The slope of a function can be found in its first derivative. The slope of the curve grows…

Q: Find an equation of the tangent plane to the given surface at the specified point. Z = = 4(x - 1)² +…

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Q: 5. The half-life of a particular drug is 6 hours. When given an adult dosage, the following function…

A: Domain:- All those values for which the function exists. Range:- All those values the function…

Q: A lifeguard needs to rope off a rectangular swimming area in front of Long Lake Beach, using 2300 yd…

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Q: Question 9 Suppose a binary message word is to encoded using repetition code where every bit is to…

A: Solve this question, as given below.

Q: Find the slopes of the curve 3 4 irve y4=y2-x² at the two points shown here. 1 2 √3 2 Q 57 The slope…

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Q: Div x²-3x + 7 X-2

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Q: Use the Limit Comparison Test to determine the convergence or divergence of the series. lim 718 00…

A: We have to determine if given series converges or diverges.

Q: Q is the region bounded by the graph of u(y) = the y-axis, y = 0, and y = 1. Find the volume of the…

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Q: 6. Quality Donuts has daily operating expenses of $650. It costs the shop $0.15 to produce each…

A: NOTE: Refresh your page if you can't see any equations. . x=number of donuts the fixed cost is $650…

Q: Find dy by implicit differentiation. x² x+y dx 11 = y² + 5

A: Given query is to find the derivative.

Q: [2√T S Suppose you use the substitution u = 1+ 3x³ to evaluate the definite integral of the…

A: The given definite integral, ∫01x21+3x3dx We have to find the equivalent expression using…

Q: Consider the function f(x) - 2x³ + 45x² - 300x + 5. - For this function there are three important…

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Q: 4. A function f has the following verbal description: multiply by 3, add 5, and then take the third…

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Q: x + 1 At what points is the function y = 2 x² - 4x + 3 continuous? Describe the set of x-values…

A: Given data, y=x+1x2-4x+3

Q: Problem 3. indeterminate form. Follow the directions to find the limits in non-standard -x (a) lim…

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Q: Use f(2)=9z+12 and g(z) = 2z - 15 to find (fog)-¹(z) 1. (Jag) ¹(2)=(-123) 18 2. (fog)(2)- 3.…

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Q: 15 √x +9 Find the average density Pave (in kg/m) of the rod. kg/m The linear density p in a rod 7 m…

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Q: Which of the following is the equation of the tangent to the graph of y=esin at the point x = π ?…

A: Here is the solution:

Q: Suppose that f is a function with f'(6) = 0 and f''(6) = 2. O Then f has a relative maximum at x =…

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Q: Find the absolute maximum and minimum values of f on the set D. f(x, y) = 2x3 + y4 + 8,    D = {(x,…

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Q: Use the chain rule to find the derivative of 6√10x8 + 8x7 Type your answer without fractional or…

A: Topic- Derivative of a function We are given f(x)=610x8+8x7Formulas used:chain rule:…

Q: A function has a relative maximum at (-1,3). Which of the following could have been the test results…

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Q: 3. Let F(x)= √²+1 √²+1-2 Find f,g, and h, such that fogoh = F.

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Q: Find all real zeros of the function f(x)=12x^3−23x^2+13x−2. Given x−1 is a factor of f(x) Enter the…

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Q: QUESTION 12 Interpret lim 4xy² along x = (x,y)-(0,0) x²+3y4

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Q: 2 Let f(x) = √3x² + 3x + 2 f'(x) = ƒ'(1): = OF

A: Topic - Derivative of  a function We are given, f(x)=3x2+3x+2Formulas usedChain rule:…

Q: O x = 4 ve Find all points where the function is discontinuous. e

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Q: Write a definite integral that represents the area of the region. (Do not evaluate the integral.) Y₁…

A: Let's find definite integral of area.

Q: xp (&/s* + ©)sex f

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Q: Suppose that F(x)=f(g(x)) and g(14)-2, g(14)-5, f(14)-15, and f'(2) - 11. Find F(14). O 17 O 55 O…

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Q: 7. 3 Let h(x) = ³₂. x-2° (a) (b) Find the inverse, if it exists. Find the domain and range of each.

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Q: 2. Determine whether the series (a) Converges 00 (b) 5 3/2 converges or diverges. Diverges

A: need to find out the the series converges or diverges.

Q: 4. Sketch the graph of a function that is continuous and differentiable everywhere and also…

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Q: Find dy by implicit differentiation. dx dx 11 xey = x - y

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Q: What value of  b  would give the following function  f(x)=x3+bx2−3x+C  a critical point at  x=−3…

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Q: DIJ х2 -3x+7 х-2

A: Using long division we divide the expression

Q: Solve for the general solution of the given DE: O y = (-6 + ce^(-x^2/4))^2 O y = (-6 +…

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Q: Sketch the graph of the function below, including correct signs, x-intercepts and y- intercepts.…

A: Here we have to plot a graph.