Show that the interval of convergence of the Series 2n-1 27-1 (4-3) IS given by -544/2 SWE

Q: Volumes of Solids of Revolutions. Find the volume of the solid generated by revolving the triangular…

A: I am attaching image so that you understand each and every step.

Q: Question 13 d²2 Which of the following satisfies the differential equation dx² A. y = e³x B.y = e-3x…

A: We need to choose correct option.

Q: Find the divergence of the following vector field: 0 O 2z O O F = (y, -x + z², 3x)

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Q: Convert x = = ln(2t) and y = 1² from parametric to rectangular form. 2

A: Given,  x=ln(2t) and y=12t2

Q: any decimals to the hundredth place. f(x) = -log(x + 50) + 2 x- intercept: (50,0) y-intercept:…

A: Explanation of the answer is as follows

Q: Find the transition points. y = 15x³ + 360x² (Use symbolic notation and fractions where needed. Give…

A: The given function is: y=15x3+360x2

Q: (D² - 6D+9)y = 0

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Q: Consider the vector-valued function R(t) = {{ (a) Find the domain of R. (b) Show that is continuous…

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Q: 4. Find the slope of the tangent to y = sin² (2x) at x = 12

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Q: 1. If f(x) = cos²x, then the derivative, f'(x) = ? a) 2sinx b) −2 sin x cosx c) 2cosx d) 2 cosx =…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: The components of vectors A and B are given as follows: A=5.1, A = -5 X y B-2.6, B = -4.3 X y What…

A: We have to find magnitude of vector sum A+B.

Q: 2. Find the Maclaurin series of f(x) = tanh-¹x

A: Note: according to our guidline i can solve only first please reroute the remaining question.  Find…

Q: Find the average value of f(t) = -2te Answer: -0.63 on the interval [0, 1].

A: topic- average value of function over interval

Q: A tank in the shape of an inverted right circular cone has height 7 meters and radius 2 meters. It…

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Q: Let f(x, y) = 2x and C be the line segment on the plane from (0, 0) to (3, 4). Evaluate the line…

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Q: 15. Si dt 1³ + 1² - 2t

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Q: Apply the definition to differentiate the following functions: 1- y = ₁

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Q: 3) Find dz dy for z = e

A: Solution: As per given date   z=exy  For finding dz/dy , we assume that 'x' is a constant.

Q: • Jeze 39. et dt e²t + 3e¹ + 2

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Q: A balloon is rising at a rate of 3 meters per second from a point on the ground 55 meters from an…

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Q: Find all the values of x such that the given series would converge. 8" (x)(n+1) (n+8) n=1 The series…

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Q: Find the maximum and minimum values of the function f(x, y)-xy subject to g(x, y) = x² + xy + y² =…

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Q: Determine the equation of the ellipse with center (7, 1), a focus at (2, 1), and a vertex at (-6,…

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Q: √√3+ rdr then 0 (2)=√√3+230 I X

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Q: B. For the figure shown below, find the sum of the areas of all the semicircles. 47

A: I am attaching image so that you understand each and every step. Answer is 227π512 square unit

Q: erivative 263.7 0.5cos0+ 0.3515.sim

A: Derivative

Q: Evaluate the integral below by interpreting it in terms of areas in the figure. The areas of the…

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Q: numerate and explain each briefly the six guidelines in solving maxima/minima problems

A: This is a problem related to maxima and minima of the function. Based on the general formula and…

Q: Find the unit tangent vector T(t) at the point with the given value of the parameter t. r(t) = 4√ti…

A: To find the unit tangentvector Tt at the point with the given value of the parameter t.rt=4t i+3t2…

Q: find differential equation of the following equation 1) y' = -x y+x

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Q: let Computers Annual sales (in millions of units) of a certain brand of tablet computers are…

A: Given query is to find the number of computer sold in two years.

Q: 1. f(x) = cos (-:-)

A: From graph, it is clearlimx→∞cos1x =limx→-∞cos1x = 1

Q: Evaluate the integral f [[ - Y sin(x²)dxdy.

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Q: A person starts walking from home and walks: 2 miles East 2 miles Southeast 5 miles South 2 miles…

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Q: [u udv-uv- - [vdu to Explain why the substitutions below are inappropriate. Let dv =x dx 1. Suppose…

A: This questions uses ILATE  rule

Q: A particle is moving along the path given by R(t) = (sin(ln t), cos (Int), √3 lnt). (a)…

A: Let's find.

Q: Sketch the region bounded by the given line and curve. Then express the region's area as an iterated…

A: Topic = Area

Q: Find the general antiderivative of f (x) = 4 x ln x²

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Q: Δ Ο Ο

A: Given; M=5 units , T=4 units

Q: Question Integrate (three) of the following integrals: 1) f sin6x cos3x dx 2) f x√√x + 1 dx cos2x…

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Q: Evaluate the integral below by interpreting it in terms of areas in the figure. The areas of the…

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Q: Let D be the region enclosed by y = eª, y = e¯ª, x = 0 and x = 2. The volume of the solid formed by…

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Q: Let A(z) = f(t)dt where f is the function given by the graph below. 3- 2 + 2 H d -2 A(3) - A(8) -

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Q: Solve the following second order differential equation, clearly showing all calculation steps d²y dy…

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Q: D is the region enclosed by the parabolas z = y²-9 and 2 - y² +9.

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Q: Find the derivative of V(x) = ln(sin x) – (x4 – 3x)10

A: We can find the derivative as below.

Q: Find the transition points. y = 3x² - 42x6 (Use symbolic notation and fractions where needed. Give…

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Q: Find the area contained between the two curves y = 3x - x² and y=x+x². 1/3 sq. units 1/4 sq. units…

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Q: d. State the equation of the vertical asymptote of f(x)=log, (x+1). e. Sketch a graph of f(x) = log,…

A: We have to find the asymptote of function and graph

Q: An object is placed outside on a cold day at time t = 0 minutes.  The temperature of the object T(t)…

A: Given, An object is placed outside on a cold day at time t = 0 minutes.  The temperature of the…