In 2 sinh?xdx - In 2

Q: Classify the stationary point(s) of the following functions as convex, concave (strictly or weakly) ...

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Q: x+1 dx (ӕ—3)(ӕ+2)

A: Topic:-  integration

Q: 14. For the function f (x) = 10 - 5x find the average rate of change from x = a to x = a + h %3D

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Q: Determine whether the alternating series converges. k + 1 | 10k + 1 k=1 O The series converges. O Th...

A: In this question we have to find whether the series is convergent or not.

Q: A graphing calculator is recommended. An elastic band is hung on a hook and a mass is hung on the lo...

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Q: 20. What is the solution of (2x - y)dx + (4x + y – 6) dy = 0? a. (x+y- 3)° = c(2x + y – 4)² b. (x-y+...

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Q: Express the repeating decimal as a fraction. 0.1111. . .

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Q: Determine visually whether the graph is symmetric with respect to the x-axis, the y-axis, or the ori...

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Q: he integrating factor to the linear differential equation x(x² +1)y' +2y = (x² +1)° is:

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Q: 5. Given: r = -4cose Sketch the graph and find the arclength, ( using calculus)

A: Find your answer below 

Q: 3. Determine whether the sequence converges or diverges. If it converges, find the limit.

A: a sequence {Xn} is convergent if lim Xn tends to a finite value when n approach to infinity 

Q: 6. Consider the function f(x) = In(x + 2) – 2 arctan(x) a. Find all critical points in the domain of...

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Q: V-x-2-V3 Evaluate lim -x- 5 Enter an exact answer.

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Q: 12 ( In xdx 5 a) Find the smallest K such that | f4) (x)| <K for 5 <x< 12. b) Use the part (a) answe...

A: We have to find smallest valur of k and value of n. 

Q: A point starts at (x, y) = (4.8, 0) and moves CCW along a circular path centered at (x, y) = (0, 0)....

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Q: Identify (a) the point(s) of inflection and (b) the intervals where the function is concave up or co...

A: From the graph: the inflection point: (0,-1)  

Q: 3 In(x3 + 7) dx, 4 n = 10 (a) the Trapezoidal Rule (b) the Midpoint Rule (c) Simpson's Rule

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Q: 9. The graph of a quadratic function is a parabola whose axis of symmetry is parallel to the y-axis....

A: The graph of a quadratic function is always a parabola.

Q: A particular country's exports of goods are increasing exponentially. The value of the exports, t ye...

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Q: The initial weight of a starving animal is Wo. Its weight after t days is given by W=Wo e -0.005t Wh...

A: We will find the remaining % of wieght as follows.

Q: Determine the form of a particular solution for each differential equation. No need to solve for the...

A: Given that the differential equation is      2y"'-3y"-3y'+2y = (ex+e-x)2 

Q: Solve a following ordinary differential equation y'' + 2y  = sec(x)

A: Given: - The ordinary differential equation is, y''+2y=sec(x) To solve: - The solution of the given ...

Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges. I...

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Q: using the substitution u = cos(x). cos (x) sin(x) dx = +C

A: Topic:- integration

Q: Compute D P(1,2) in the direction of v =. Please round your answer to 4 decimal places.

A: According to company rule we can answer only first question and rest can be reposted.

Q: If the polynomial f(x)=2x³ +3x²+3x+2 is expressed as f(x)=a,Po(x)+a,P1 (x)+a2P2(x)+23P3(x), then a1 ...

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

Q: 4k+2 7ペ-1 k=1

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Q: A spherical balloon is inflated and its volume increases at a rate of 30 in3 /min. (a). What is the ...

A: Given that, The spherical balloon is inflated and its rate of change of volume is; dVdt=30 (in3min) ...

Q: Evaluate. Show all your work and make sure answer is in simplest form. 1 dx (9+16x*) 9+16x² )

A: ∫tn dt =tn+1n+1+C ∫cos(at) dt =1asin(at)+C

Q: Let f(x) = v6 Then the domain of fogis equal to a, b] for x and g(x) = x? - x. - а and b =

A: f(x)= √(6-x) and g(x)=x2-x  Find domain of f(g(x)) is ? 

Q: Question 5 Check all that apply for the polynomial function f(æ) = -a(x + 3)² (x-3)2. %3D O * = 0 is...

A: f(x)= -x(x+3)2(x-3)2 find the multiplicity of the zeroes. 

Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. ř(-1)*+1k! (2k...

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Q: 5. Find the differential equation of the family of straight lines with slope 1. с. у-1-0 d. y' +1=0 ...

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Q: Obtain the differential equation of the family of circle with center on the x-axis ? a. yy" +(y")²-1...

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Q: HOW DIDHE GET THE VALUE INSIDE THE CIRCLE AND THE ORDER OF THE STEPSAFTERIT? 2. dz Sol Let b2 = 2t Z...

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Q: 1. Find dy/dx using chain rule and or implicit differentiation. a) In(xy) + 5x =30 b) (sinax + coszy...

A: As per bartleby guidelines we only give first three question answers. 

Q: 2 xy". - I + 3x'y". 2 →(2(3-t)(45+24)' ((33-t)"( 43+2€)² 6. Find the unit vector for which the direc...

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Q: Find (f o g)(x) and (g o f)(x) and the domain of each. f(x) = x² – 9, g(x) = 3x – 4 (fo g)(x) = | (S...

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Q: Differentiate. g(x) = (x-5 + 3) (x-3+5) - 4 - 25x - 4 - 9x - 9 O A. g'(x) = - 8x X6- 9- - 25x- 9x -7...

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Q: Solve the given differential equation. All solutions should be found. dy = el* + 9y dx 7x NOTE: Use ...

A: See this solution below

Q: A graphing calculator is recommended. (a) If G(x) = 5x2 - x3, find G'(a) and use it to find equation...

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Q: Let f(x) = (2- . 2x) and g(x) = 8x + 1. %3D Find g(f(x)). 08(2³ 0 8(2° – 2x)' +1 O (8x + 1) - 2(8r +...

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Q: 11. Solve the equation logs (3x + 9) = log5(5x – 3)?

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Q: If 8x – 19 < f(x) < x² + 4x – 15 determine lim f(x) x→2 What theorem did you use to arrive at your a...

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Q: The graph of the acceleration a(t) of a car measured in ft/s2 is shown. Use Simpson's Rule with n- 6...

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Q: 7. An amount of $3,750.00 is deposited in a bank paying an annual interest rate of 4 % compounded mo...

A: We have to find the amount after given time.

Q: 5. Find the differential equation of the family of straight lines with slope 1. с. у -130 d. y' +1=0...

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Q: Assume the following : lim f (x) =4 lim g(x) = 10 lim h(x) = -3 %3D SHOW YOUR SOLUTION 1.lim (7 · f ...

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Q: 4. Determine the following derivatives without simplifying either before or after. (YOU MAY USE ANY ...

A: Using given formula then solve it. 

Q: 2x+10 dr 1²(x – 4) Evaluate

A: Indefinite integral