If f is continuous and f(x) dx = 12, find So f(2x) dx.

Q: S(3x+1) (3x²+2x+1)³dx

A: I=∫(3x+1)(3x2+2x+1)3dxSubstitute 3x2+2x+1=u

Q: Considering the interval [−2, 4], does the Mean Value Theorem for integrals hold for f (x) whose…

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Q: At which of the value(s) of x below does f(x) = ²³² +5x² + 25x + 1 have a horizontal tangent line? O…

A: Given that, the function is .We need to find the value of x for which the given function has a…

Q: 5. Calculate the following limits: x-5 a. lim x-5x2–25 b. c. d. lim x--5 x²+3x-10 x+5 t² +t-2 lim…

A: 5)a) limx-5 (x-5)/(x2 -25)b) limx-(-5) (x2 +3x-10)/(x+5)c) limt-1 (t2 +t-2)/(t2 -1)d) limx-(-2)

Q: A stone is dropped from the upper observation deck of a tower, 500 m above the ground. (Assume g =…

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Q: - t+t² g(x) = √3x +z-t dt 1

A: g(x)=∫13xt+t22−tdtProperty of definite integral∫abf(x)dx=−∫baf(x)dx

Q: 1. For the function g(x) graphed here, find the following limits or explain why they do not exist.…

A: Since the subparts a,b and c of question 1 have been answered i suppose you want the answer for part…

Q: 1. Find the equation of the line that goes through the point (1, 5) and is parallel to the line y =…

A: Question No. 1:To find the equation of the line that goes through the point and parallel to the…

Q: 21. A window is composed of a rectangle with a semicircle above. If the perimeter is 16.0 m, what…

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Q: What are the radius and the coordinates of the center of the circle with equation x2 +(y-2)2=30

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Q: he table gives the values of a function obtained from an experiment. Use them to estimate f(x) dx…

A: Consider the given table in the question.Given that n = 3△x=b-an"…

Q: 16. You are designing a rectangular steel vat with a square base, an open top, and a volume of 32…

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Q: 1. For the function g(x) graphed here, find the following limits or explain why they do not exist.…

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Q: Find the limit of the sequence: 5n²+8n+3 3n² + 8n +7 an

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Q: 3. Use the definition of Taylor series to find the Taylor series centered at a = 1 for f(x) = ln x

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Q: For the function g(x) graphed here, find the following limits or explain why they do not exist. a.…

A: The graph of the function g(x) is shown as,Since parts a to c are already solved in original…

Q: Find the distance traveled by a particle with position (x, y) as t varies in the given time…

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Q: Which of the following is an appropriate choice for & when proving the following limit? Assume ɛ > 0…

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Q: Use a calculator to approximate the length of the following curve. Simplify the arc length integral…

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Q: 5. Solve y"" - 6y" + 11y' - 6y = 0

A: The given differential equation is

Q: For the function g(x) graphed here, find the following limits or explain why they do not exist. a.…

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Q: In a large city, the road system is set up like a Cartesian plane, where streets are indicated by…

A: Given that in a large city, the road system is set up like a Cartesian plane, where streets are…

Q: you alos calculate the following

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Q: Evaluate the integral. 1 2 (6x-2-6) dx (6x2-6) dx = (6x² 2 (Type an exact answer in simplified…

A: To evaluate the following integral.

Q: .2 x²+1 lim x-∞ x²-1 X-

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Monte Germany: Attempt 1 Which equation is correct? 4x^(3)(6x^(2))=10x^(6)

A: 4x^(3)(6x^(2))=10x^(6)is correct?

Q: 3. If y = esin, find dy.

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Q: 3. Which of the following statements about the function y = f(x) graphed here are true, and which…

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Q: = (a) The fourth Taylor polynomial for f(x) = ln (sec(x)) at a co + c₁x + ₂x² + 3x³ + ₁x² where Co =…

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Q: sin x lim X→0 xX tan x m. n. lim x→0 X

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Q: Find the average rate of change of the function over the given intervals. f(x) = 12x³ +12; a) [5,7],…

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Q: The estimated change in area is m² (Type an exact answer, using as needed.) The estimated change in…

A: The radius of a circle is increasing from 9.00 to 9.09  mdr=9.09−9.00dr=0.09 mr=9 m

Q: S (x² − 2) dx; n = 4 32.

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Q: 5. Find an asymptotic expansion for as x+∞. Cπ/2 o -x tan² t dt e

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Q: Suzanne must choose between two job offers. The first job offers $56,000 for the first year. Each…

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Q: Determine the convergence or divergence of the series. (If you need to use co or -co, enter INFINITY…

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Q: 57. Orbital Launches In 2012 there was a total of 78 commercial and noncommercial orbital launches…

A: In 2012 there was a total of 78 commerecial and noncommerecial orbital launches worldwide. In…

Q: Approximate the area under the graph of f(x) and above the x-axis with rectangles, using the…

A: Since you have asked multiple sub parts in a single request so we will be answering only first three…

Q: Find the areas of the shaded regions in

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Q: If y = (k+1)x+³ then y' =

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Q: a) Prove the following: If f(x) is an integrable function with antiderivative F(x), and a, b are…

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Q: Let F(x) = sin(6t²) dt. S Find the MacLaurin polynomial of degree 7 for F(x). S Use this polynomial…

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Q: Let f(x) [0, 2π). = To enter , type Pi (with a capital P) sin x. Determine the x-value(s) where the…

A: The given function .The aim is to find the value of  in the interval  for which the function has…

Q: The figure below shows human arterial blood pressure during the course of one heartbeat. arterial…

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Q: Match the series with the right expression. (Use the Maclaurin series.) (−1)n3−(2n+1) 2n + 1 1. 0 2.…

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Q: Find the area bounded by x² = y-1 and x = y-3 using horizontal strip

A: To find the area bounded by  by using horizontal strip.

Q: The graph of a polynomial of degree 5 is shown. State the number of real zeros and the number of…

A: As we can see, the graph crosses the x-axis at x=-2So x=-2 has a multiplicity of 1The graph touches…

Q: A projectile is launched straight into the air with initial velocity vo = 92 ft/sec. This tells us…

A: Given a velocity function v(t) The total distance travelled in the interval [a,b] is given by.

Q: 9 S₁² X=√x

A: I=∫49(x−xx2)dx

Q: 19. What is the maximum volume of cylindrical tin can that can be made from 750.0 cm² of metal?

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