Part. f. True or False: g(x) = In(x-1) is continuous for x > 1. 4 x +22

Q: Which of the following sequences are convergent sequences? Select all that apply. 2 an ==n 4 □an 0 0…

A: The sequences are said to be convergent, if these approach to specific limit, when the ‘n’ reaches…

Q: tion 2²-1, x‡1 C, x = 1 lue c so that function f is continuous at x = 1. f(x) = {

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Q: Use the graph of y = f(x) to graph the function y = -2f(x-1)+2. Label the points on the sketch.

A: For solving the given problem:

Q: Find a power series representation for (x^5) / (1 + x^6) Using your answer here, find a power…

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Q: The proportion of items in a population that possess a specific attribute is known to be 0.30. a. If…

A: Sample size = 100Sample proportion = 0.35Population proportion= 0.30Sampling error = sample…

Q: The weekly demand for Math Wars - The Derivative Strikes Back video games is given by Р 280 X- +…

A: Demand (p) = (280/(x-4))+4500We know that the Revenue function is given by .

Q: The volume V of an ideal gas varies directly with the temperature T and inversely with the pressure…

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Q: Find the decomposition of a(t) a = aTT + aNN into tangential and normal components for r(t) = (51,…

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Q: For the given double integral, sketch the region of integration and reverse the order of…

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Q: equation y = 13.6x + 9.8 estimates the amount that businesses will spend, in billions of dollars, on…

A: The equation y=13.6x+9.8 estimates the amount that businesses will spend, in billions of dollars, on…

Q: A power line is to be constructed from a power station at point A to an island at point C, which is…

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Q: Find the exact value of sin sin 7/3 = sin (a) π 3 8 a E CHI

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Q: X^4+y^4 =82 find the equation of the tangent line at the point (x,y)= (3,1)

A: Explaination of the answer is as follows

Q: Use the graph off to sketch the graph of f1. Then use the graphs to determine the domain and range…

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Q: (a) Find the slope of the curve y=x²-3x-5 at the point P(2, -7) by finding the limit of the secant…

A: Given;

Q: On the ellipse x^2 + 9y^2 = 9, find d2^y/dx^2 using implicit differentiation. Your final answer may…

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Q: Find the particular solution to the differential equation = -1 given P = 0.5 and Q = 4.

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Q: Find the value of the negative 2 integral (1) x²e¹³ dx (1) (2) 3x² (1 + x³)8 (2) S (3) f (In x)² X…

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Q: Find the unit tangent vector to the curve defined by r(t) = (5 cos(t), 5 sin(t), 2 sin²(t)) at t= 3m…

A: The unit tangent vector,

Q: Solve the DE x²y" - 2y = 3x² - 1, given that y₁ = 2² and, y2 = 2-¹ are two solutions of the…

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Q: Using root test, determine whether the series P= for p: type the value in rational form, Ex. 2/3 The…

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Q: Solve and graph the solution set. 1-2x≤ 2x + 13 Select the correct choice below and, if necessary,…

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Q: There are two times the amount of milk chocolate bars as there are dark chocolate bars in a box. If…

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Q: Evaluate the arc length integral s(t) = r(t) = (8t + 9, 3t+ 6,4t) (Use symbolic notation and…

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Q: Find the equation of the parabola with the given properties Focus (3,0), directrix x = -3. = x

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Q: The answer

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Q: 10. If f(x) = 2x³ - 3 x3, then f'(1) is which of the following? (B) -3 (C) -15 (E) 7 (A) 15 (D) -1

A: given function is

Q: For the function f(r) = 6(1+r)5, find the value of the difference quotient and h = 0.1, 0.01 and…

A: The given function is .We have to find the value of the difference quotient  for  and  and .

Q: For the given double integral, sketch the region of integration and write an equivalent double…

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Q: Use Taylor's formula for f(x,y) at the origin to find quadratic and cubic approximations of f near…

A: To solve the following problem

Q: 1. Find the first and second derivatives. (a) f(x) = e + x³ (b) g (t) = sin(t) + 2 cos (t) (c) h(x)…

A: according to bartleby guide line we do only first part of multiple questions.(a) given

Q: Find the equation of the lines that pass through the point (0,4) and are (a) parallel to and (b)…

A: We need to find equation of lines.

Q: Estimate the instantaneous rate of change of g(x)= 5/x-3 at the point x=1

A: The instantaneous rate of change of g(x) is given by its derivative at the point x=a.

Q: Based on the given table of data, compute each of the following derivatives. X 1 3 5 7 f(x) 6 7 3 -4…

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Q: Solve the given differential equation by separation of variables. (ey + 1)²e-y dx + (ex + 1)7e-x dy…

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Q: Given: (x is number of items) Demand function: d(x) = 280 -0.2x² Supply function: s(x) = 0.5x² Find…

A: Given functions

Q: A pilot is steering a plane in the direction N 45° W at an air-speed (speed still in air) of 150…

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Q: On the interval [0, 9] the polar curve r = 80² has arc length units.

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Q: Approximate the double integral of f(x,y) = x+y over the region R bounded above by the semicircle y…

A: Graph Bounded by the Semicircle and x - axis :

Q: Given the demand equation x2 + 4p = 48, where p represents the price in dollars and x the number of…

A: Demand equation

Q: If f(x) = = f'(x) = f"(x) = 4x 5x2 +7 compute the first and second derivatives of f(x).

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Q: Find the linearization of the function f(x) = √x at 9. b. Use the linear approximation obtained in…

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Q: Find the derivative of the following function: y= (x^2 - 1)^3 (x^2 + 1)^2

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Q: 1. Calculate [2ydx-3dy, where C is the ellipse parametrized counterclockwise by r(0) = (4+3 cos )i +…

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Q: If f(x) = −9x³ + 7x² − 8x − 6, compute the first, second, and third derivative of f(x). - f'(x) =…

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Q: If f(x) = (3x + 1)5, compute the second derivative f'(x) at x = 0. f"(0) =

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Q: 24. A car rental company charges a fixed daily rate plus a per mile driven. Valerie rented a car for…

A: A car rental company charges a fixed daily rate plus a per mile driven.Valarie rented a car for…

Q: Given g(x) = 2x³ + 6x² - 48x-2 A) Find the critical values of this function. List them separated by…

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Q: The perimeter of a college athletic field is 96 meters and the length is 18 m more than the width.…

A: We will use algebraic expressions to solve it.

Q: Differentiate dx y=3x²+2 (3x² + 2) = 3+.

A: