The graph of the function h is shown. m 2.5 fy 2 1.5 1 0.5 0 -0.5 -1 -1.5 -25 Why is lim h(x) nonexistent? x-1 The limit is unbounded. -2 y -1 1 X

Q: 2) Find the derivative of the function f(x)= x arctan(2x) ——In(1+4x²).

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Q: d) In (x²)dx

A: we need to find out the integration."As per the rules, we are supposed to answer the first question…

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Q: *P(zx) ulg*J

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Q: area under the curve ƒ(x) = x² + 2x + 6 from æ : Use the Method of Midpoint Rectangles (do NOT use…

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Q: For f(x) = (a) fog 7 x-3 2 =, find the following composite functions and state the domain of each. X…

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Q: Evaluate the expression without using a calculator. log 8√√512

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Q: Evaluate the improper integral O a.-2 O b. 1 042 C 3 X

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Q: For Question 5, region W is bounded by f(x) = 4+√9-x², g(x) = cos 7 104 9 8 7 6 5 4 3 2 1 + + + -3…

A: Region W is bounded by f(x)=4+9−x2,g(x)=cos⁡(π6x),x=0, and x=3 Area =∫03[f(x)−g(x)]dx

Q: A cell culture contains 4 thousand cells, and is growing at a rate of r(t) thousand cells per hour.…

A: Substitute t=5 in r(t) and solve, an then add 4 thousand to it.

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A: Using the definite integral property∫acf(x)dx=∫abf(x)dx+∫bcf(x)dx

Q: A laser rangefinder is locked on a comet approaching Earth. The distance g(x), in kilometers, of the…

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Q: Use Newton's Method to find the third approximation -x3, for the root of f(x)= x^3-5x+1. Let x0= -3.

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Q: 6. Suppose f f(x) dx = -5, and fg g(x) dx = 1. Evaluate the following integrals using the properties…

A: To find values of given definite integrals.

Q: 17-22. Position from velocity Consider an object moving along a line with the given velocity v and…

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Q: Question 12 Determine the value of x(t) at t = 0 given its Laplace transform. Choose your answers…

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Q: (0) Σ n=1 (-1)" τα ηλ -(3x - 1)"

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Q: Find the Taylor series for f(x) = ln(x) about a=2. Find the interval of convergence.

A: Taylor series of ln⁡(x) around a=2A Taylor series is given by f(x)=∑k=0∞f(k)(a)k!(x−a)k

Q: solution is -3/2

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Q: H Use Stokes' Theorem to evaluate Sc F. dr where F = (x + 6z)i + (5x + y)j + (8y-z) k and C is the…

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Q: Determine the integral by making the appropriate substitution. . 1 -dx 8x 1+ 4e

A: .

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Q: The graphs off and f' are shown over the domain [-8, 1]. m Graph of f Graph of f' Part A: Calculate…

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Q: 3. g(x) x² +5

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Q: Which of the functions shown below is differentiable at x = 0? Select the correct answer below: -

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A: A particle starts out from the origin. Its velocity, in miles per hour, after t hours is given by…

Q: Question The graph of f(x) is shown below. Find the graph of f'(x). VA -6-5-4-3-2-1, 1 2 3 4 5 6 MN

A: A graph of the function  is given.The aim is to sketch the graph of the derivative function .

Q: Determine the integral by making the appropriate substitution. 1 x In 7x²

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Q: If s(-2) = 1 and s'(x) < −3 on [-2,9],

A: s(−2)=1 and s′(x)&lt;−3 on [−2,9], Using the mean value Theoremf′(c)=f(b)−f(a)b−a

Q: Use the Fundamental Theorem of Calculus to evaluate the following definite integral. S² dt

A: