The limit represents f '(c) for a function f(x) and a number c. Find f(x) and c. 6 √x - 30 x - 25 f(x) = 11 lim x-25

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A: answer is in next step.

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A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Calculus II

A: The given sequences, a) an=(-1)nn4b) an=lnn32nc) an=n-knn,  k is a positive constant.

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A: ft=t,0≤t<70,t≥7

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Q: Consider the function below. f(x) = √64-x² What is the Domain? What is the Range? Enter your answer…

A: Domain of  64-x2 :We must have 64-x2≥0So,  Solution:  -8≤ x≤ 8  Interval Notation: -8, 8

Q: 29. a) 5) The displacement of a particle is given by the equation s = 1³-152² + 63t, where s is…

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Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list.)…

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Q: Ise appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

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Q: -6 (Click on graph to enlarge) What is the Domain? What is the Range? 1,0 intonal notation

A: We have to find the domain and range of the given graph.

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Q: 2 i) [x² ( x + ²7 - 2²/1) dx x i) Ï 0 x³ - 8 x-2 dx ii) ii) f (x³ + 3x² + 1) e-2x dx xe xe1+x dx

A: Given:   i) ∫x3x+2x-1x2dx Expand   =∫x4+2x2-xdx Apply linearity     =∫x4dx+∫2x2dx-∫xdx

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A: Let's find function is differential or not.

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Q: 60. (Length of an Arc) What is the total length of the curve y = e*sin x from x=0 up to y = n

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Q: Evaluate the following integral or show that it is divergent. 0 -√x VX dx

A: Explanation of the answer is as follows

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Q: 3 A merry-go-round has a radius of 4 m and is spinning at a rate of 0.5π radians/s. Bill is standing…

A: Formula used: Circumference of circle = 2π×radius of circle  velocity =  angular velocity × radius

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A: Given: LHS:            12cos x+sin x sin y=12cosπ2-y+sinπ2-ysiny=12siny+cosysiny=sin2y+siny2=122…

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A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Evaluate the indefinite integral: [ 10 10e¹x cos(2x) dx

A: We will use simple Integration rules to solve this question.

Q: Graph the function below by moving the vertical asymptote and the intercept to the correct location,…

A: NOTE: Refresh your page if you can't see any equations. . to find the vertical asymptote, take…

Q: Find the volume of a pyramid with height 21 and rectangular base with dimensions 5 and 7 using…

A: Let h be the height of the pyramid, l and w be the length and width of the pyramid. Note that, if x…

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

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Q: a. given the functions f(x)=cosx and g(x)=sqrt 10+x determine the value of g(f(pi)) options : sqrt…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Use Definition 7.1.1. DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t≥ 0. Then…

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A: Let, each square as one unit. Graph :

Q: Evaluate f(x, y, z) ds. f(x, y, z) = x² + y² + z² S: z = x + y, x² + y² ≤ 1

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Q: Use Theorem 7.1.1 to find L{f(t)}. (Write your answer as a function of s.) f(t) = 2t² - 5 sin(4t)…

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A: answer is in next step , i can only answer one question as per guidelines.

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Q: Evaluate the integral using the following values. 8 ["x³ dx = 960, ["x dx = 24, ["dx-4 = J4 8 [²- x…

A: Gievn , Hint: 4∫8xdx=24   .....(1)

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Q: 2x-4 x²-4x+3 1. Express the function f(x) fractions. Find the interval of convergence. = as the sum…

A: Here, the given function is: f(x)=2x-4x2-4x+3

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Q: dy dx -5y=-tr, 5y = ³ 2 y(1)=1

A: The given differential equation is  dy/dx -5y= -5/2 xy3 , y(1)=1