* Find the 2nd degree Taylor polynomial for the function f (x)=- 1 centered at x = -2.

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A: Given ∫x sec-1x dx To find integration

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Q: 3. Find the point(s) on the graph of the curve fle)-+3+ where the tangent is horizontal.

A: To find the points on the graph of the curve fx=x33+3x+4x, where the tangent is horizontal.

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A: We have to find if the series converges or diverges.

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A: what interval(s) of production is the revenue increasing and for what interval(s) is it decreasing?

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A: Solution:

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Q: (a) Find the extreme values on [–1,4] of p (x) re-z²/8. = xe

A: Since you have asked multiple questions in a single request, we would be answering only the first…

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A: We can find the equation of tangent line as below.

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Q: 5 6 Consider the function f(x) x2 Let F(x) be the antiderivative of f(x) with F(1) = 0. Then F(x) =

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Q: Find a power series representation for the function and determine the radius of convergence. f(x)=D…

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Q: y=f(x) A1 АЗ 15 A2 7 A4 10 (figure is NOT to scale) Evaluate the integral below by interpreting it…

A: To evaluate the integral below by interpreting it in terms of areas in the figure.The areas of the…

Q: 5. Evaluate the expression without using a calculator. Sh (a) sin (쓰) (b) cot(-210°) (c) csc(cos-1…

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Q: SIXE-A Consider the graph shown to the right 4. lim f(x) X-axis 5. Evaluate lim f(x) X+3" 6. lim…

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Q: 25. Find the intersection of the line [x, y, 2] = [1,4, – 2] + 1(1, – 1,3] and the plane 2r – 4y +…

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Q: Prove the following by Mathematical Induction 1. 1/1(2) + 1/2(3) + 1/3(4) +...

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Q: y=f(x) A1 АЗ 3 5 7 А4 A2 10 (figure is NOT to scale) Evaluate the integral below by interpreting it…

A: Area above x-axis is taken as positive and area below the x-axis is taken as negative.

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Q: Find the equation of the circle shown Ih

A: Three point  ( 0 , 4 ) , ( 0 , 2 ) and ( -2 , 0 )   equation of circle   From the graph  center ( h…

Q: 9. Sunshine Airlines is flying from Shelbyville to Longfield on a course of 290° for 67 km. It then…

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Q: Compute f'(1) where f(x)=1/2 e-2x + ln(x2 + 1)

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Q: Demand for the latest best-seller at OHaganBooks.com, A River Burns through It, is given by q = -p2…

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Q: Find an equation of the sphere whose endpoints of a diameter are (−2, 0, 5) and (−1, 2, 3). Show all…

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Q: QUESTION 104. x*dx 4 (x² + 9)² 2 TRIGONOMETRIC SUBTITUTION a? – u? sub. to u = a sin 0 a? + u? sub.…

A: Integral

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A: Given; There 10 points in a plane such that no three points are collinear

Q: 9. (Trigonometric Substitution) Let x = 2 sin(0) for 0 < 0 < . Write v4 – x2 as a trigonometric…

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Q: Which of the following integrals represents the volume of the solid obtained by rotating the region…

A: Draw the diagram and use the washer method of finding volume of rotation.

Q: For the function y f(x) - la + 10: - df at x = 1. dx a. Find f'(1) = b. Find a formula for x =…

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Q: (2а3 + 5x — 4) d

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Q: Find f. f"(x) = -2 + 18x – 12x?, f(0) = 2, f'(0) = 14 f(x) =

A: Here we will find f(x),

Q: etermine whether the series is convergent or divergent. If it is convergent, find its sum. (If the…

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Q: how the following series is conditionally co -(-1)" Wi

A: Given

Q: 5. Given y=af(1 Find when =1 if f(2) = tand f(2) = 5.

A: Topic = Derivative

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Q: A firm estimates that it will sell N advertising, where dollars. Use the derivative to find the…

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Q: Determinant of 2 x 2 Matrices. Solve for the determinant of the following matrices: 7. 1. A = 4 6. 4…

A: 1.A=7-346 det(A)=7×6-(-3)×4=42+12=54 2.B=4-5-19 det(B)=4×9-(-5)×(-1)=36-5=31 3.C=213-312-27…

Q: ind The Area Using Integration and Make a sketch of the grap

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Q: 2. [Growth of a tumor] When the radius of a spherical tumor is 6 mm, it is growing at a rate of 0.1…

A: To determine how fast the volume is changing.

Q: 9. Is the function defined by gon3 – 3 if 2. continuous at r= 2? differentiable at x = 2?

A: