Find the derivative f'(x) f(x) of the function. 5x − 7

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A: Given: Exercise 1.6 3) f(x)=n2, n≤x<n+1 To sketch: The graph of step function in the domain…

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A: Here is the solution:

Q: f() where f(x) ==== x

A: Please see the below picture for detailed solution.

Q: Compute the length of the curve r(t) = (−4t, 4t + 3, −8t + 8) over the interval 0≤t≤7 L =

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Q: SHOW YOUR SOLUTION: Solve the constant of integration of the given differential equation xdi+6ydy=0…

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Q: Solve

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Q: f(x) 10. Suppose we know that lim x→a g(x) explanation. exists and lim g(x) = 0. Evaluate lim f(x)…

A: The limit limx→afxgx exits and limx→agx=0 we have to find the limit of limx→afx

Q: For the function f graphed below, find the following limits. 1. lim_ f(x) 3 help (limits) 24-6" 2.…

A: The objective of the question is determine the limit of the given graph of function.

Q: b) lim (4-5 ln(x) +8e¹00-2) 14X

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Q: 1. Introduction 1. For the differential equations in parts (a)-(c), do the following: (i) Determine…

A: We have to find order and linearity of DE.

Q: D r = sin 0 r= cos e

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Q: lim 14x 2 ²-1

A: Find the limit of the following limx→11x-1-2x2-1=?

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Q: The importance of learning the basic concept of integral and its formulas are undeniable. In this…

A: I need to required to state the arguments or synthesis relevant to the basic concept of integral.…

Q: Let A(z) represent the area bounded by the graph, the horizontal axis, and the vertical lines at t =…

A: Topic-Area bounded by curves

Q: Solve the differential equation, such that the equation passes through the given point (x, y).…

A: According to rules, I need to solve only one question.. Please repost second question

Q: Express the function in the form fog. (Use non-identity functions for f and g.) G(x) = {f(x), g(x)}…

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Q: Add. 7 9 2 (x+8)² x²+x-56 + 7 9 2 (x+8)² x²+x-56 (Simplify your answer.) +

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Q: Find the x-values (if any) at which f is not continuous. If there are discontinuities, determine…

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Q: area

A: Given,r   =   cos ( 2 θ ) ,     - π/4 ≤   θ ≤   π/4 Given is a polar curve.

Q: The height y (in feet) of a ball thrown by a child is 1 y = 142² where x is the horizontal distance…

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Q: 2. Draw a sketch of the piece-wise defined function -3, x≤-1 1,-1<x<2 4,2<x g(x)= and determine its…

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Q: Consider the indefinite integral [6³. The integrand decomposes into the form ax + b + x a = b= 6x³ +…

A: First of all use partial fraction decomposition for: 6x3+5x2+1x-6x2-1 Now,…

Q: 5. (13) + X = 916

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Q: 19.) lim X+2 X+-2 X ³³+8 3 tiran

A: To find limit of the given function as x approaches to -2.

Q: Sylvia conducts an experiment using two long pieces of a cord and a spherical ball that has been cut…

A: Given- Sylvia conducts an experiment using two long pieces of a cord and a spherical ball that has…

Q: Solve the following first order linear DE initial value problem. (dy/dx)+ 4y - e^-x = 0 , y(0)= 4/3

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Q: 02) Find the area of the surface generated by revolving the curve x= 4-y2, about x-axis.

A: We have to find the surface area generated by revolving the curve around x axis..

Q: 2 1 1 -1 -2 2 3 4 5 6 2 7 { a The graph above shows the base of an object. Compute the exact value…

A: Concept: The Area of the half disk is given by A=π2y2 The volume of the region is given by V=∫abAdx…

Q: x+1 x²-4 5. Given f(x) = x + 2, g(x) = Find g(4), (ƒ • g)(2), ()(1), (gof)(1). Solution:

A: See this solution in below with details.

Q: 8. Let f(x)=x²/3. Answer the following: a) f(27) = c) f(-8)= e) f(x) = b) f(-1) = d) f(-81³₂6) = f)…

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Q: 2x 6. f(x) = 2 + 3

A: Solution :6.fx=2xx+3limit definition of derivative…

Q: Ⓒ. Consider the following graph of f(x). 4 a B) lim Ⓒ Tim X→ 2³ d st X-2- lim 1 X → 2 lim X->> Tim…

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Q: Find the domain of each function. (Enter your answers using interval notation.) (a) f(x) (b) f(x)

A: Topic- Domain of a function

Q: (a) Use the information in the table to determine the average rate of change on the intervals i. day…

A: We have to answer there subparts in this question and they are related to rate change.

Q: Find a vector parametrization of the circle of radius 3 in the xy-plane, centered at (4, -1),…

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Q: So 1 x²+7x+10 3ln 2-ln 2 dx

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Q: The solid S has a base described by the circle x² + y² = 1. Cross sections perpendicular to the…

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Q: Which of the following is the differential equation of the family of cubics defined by cy^2 = (x -…

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Q: Question Define R as the region bounded by the functions f(x) = e and g(x) == between x = 0 and x =…

A: To define R as the region bounded by the functions fx=ex2, and gx=x2, between x=0 and x=3. If R is…

Q: Find the limit. lim (2x² + 5x + 1) X--3

A: Formula: limx→af(x)=f(a)

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Q: Consider the function as representing the value of an ounce of palladium in U.S. dollars as a…

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Q: Eliminate the arbitrary constants in the equation defined by y = ae^(3x) + bxe^(3x). Which of the…

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Q: Find a vector parametrization of the circle of radius 5 in the xy-plane, centered at the origin,…

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Q: 4) Consider a plane P that contains the points A(1, 6, 4), B (5, 5, -2), and C(0, -5,-4). a. Write…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub parts for…

Q: 24. f(x) = 2x² - 5x-3 x - 3 6 if x #3 if x = 3 a = 3

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Q: a. b. Range: Domain: e. . C. Intervals increasing: d. Intervals decreasing: f. Supply the following…

A: As per the company guidelines We can first three parts  . Please understand. Kindly repost the…

Q: The graph of f is shown on the coordinate plane. Selected values for g are shown in the table. Graph…

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