Which of the following is an example of a series such that Σa, converges but Σa, diverges? Α.Σ (1) 3 n Β.Σ(-1)"3η C.Y (-1)" √√n D.Σn-3

Q: Evaluate the indefinite integral by using the substitution u=x² + 1 to reduce the integral to…

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Q: 6. Expand the binomial expression (3x-2)', then simplify.

A: Topic = Algebra

Q: 123 Evaluate the integral [[[x²y³ (x²y + xyz + y²²) dxdy dz 001

A: Topic = Integration As per guidelines , At a time only one question can be answered. Please repost…

Q: Evaluate the integral: LIVE 1 I√9r²+25 dr.

A: We will solve the given question using simple Integration rules.

Q: Find the area of the region enclosed by the curves 4x² + y = 4 and x - y = 1.

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Q: In Problems 1-5, let R be the region bounded by y=√x, y = 1, and x = 4. Each problem will describe a…

A: solution is givenbelow

Q: Consider the region bounded to the right by the graph of x=sin(5y)+10y, to the left by the y-axis,…

A: Solution: The region bounded by left x=0

Q: f(x)= sinx/cos x+1

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Q: Part A. Match each question in column A with the correct answer found in column B. 1. Using the…

A: The objective of the question is match the columns.  Given parallelogram

Q: Find the derivative of fx Fx =(6square root x -2) (4 square root x +7)

A: Concept: Differentiation of function: A function's differentiation is a way to visualize the rate of…

Q: OAATTAM ni 9Tuoy casinu Find the measure of each side indicated. Round to the nearest tenth. 9) B…

A: As per bartleby guidelines we only give three subpart question answer. Please repost for other…

Q: 3. [ (sec²(a) — csc²(a) + π) da

A: We will use formulas of integration to solve it

Q: Find the derivative of fx Fx = sin x/cos x+1

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Q: If ā= 3x - 5y and b = -2x+9ỹ, write the vector 5ã-85 in terms of x and y

A: Given vector are a→=3x→-5y→   and b→=-2x→+9y→. We have to find the vector 5a→-8b→. Now, 5a→=53x→-5y→…

Q: Find the intervals where the function 1 f(x) = 2cosx + sin2x, 0 ≤ x ≤ 2π is concave up.

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Q: Match the given differential equation with one or more of the solutions. (Select all that apply.) y'…

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Q: 7 Show that: sech x dx = Sin¹ (tankx) + ( S note: * & Sim'u = dx 1-U² dx Cam multiply sechx by * you…

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Q: Determine if the series converges or diverges. If it converges, give its sum. 1 Σ' cost COS(+)-…

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Q: Solve the given differential equation by using an appropriate substitution. The DE is a Bernoulli…

A: The given DE is: xdydx+y=1y2⇒y2dydx+y3x=1x...(1) Now, substitute y3=u⇒3y2dydx=dudx⇒y2dydx=13dudx

Q: 2. Determine the points on the curve f(x) = sinx-cosx, 0≤x≤27 where the tangent line is horizontal.

A: Find out the points where the tangent line is horizontal.

Q: Find the Maclaurin series for e^(x^4). What is the radius of convergence

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Q: A baker sells cupcakes and bases her prices on the number of cupcakes purchased. 72Total Cost 66 60…

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Q: 1. A spring is stretched 175 mm by an 8-kg block. If the block is displaced 100 mm downward from its…

A: NOTE: Refresh your page if you can't see any equations. . the given mass is   kg . the spring…

Q: A tank initially holds 80 gal of a brine solution containing 1/8 lb of salt per gallon. At t=0,…

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Q: The graph shown below is f(x) = 3x - 2. X If g(x) = f(t) dt, what is g'(-1)? 5- X O 5 3 0 1 4321 -5…

A: This is a problem related to integral. Based on the given data and graph we will answer the…

Q: find the volume in the first octant under the plane z=y and inside the cylinder y²=4-x.

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Q: A tank initially holds 80 gal of a brine solution containing 1/8 lb of salt per gallon. At t=0,…

A: Let's find amount of salt at t=10minute.

Q: A horizontal trough is 1600 cm long and its ends are isosceles trapezoids with an altitude of 4 m, a…

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

Q: Businesses can buy multiple licenses for a data compression software at a total cost of…

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Q: Find the intersection of the line 1₁: x-6 2 || y+2 1 with the plane p: x-6y - 2z - 10 = 0

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Q: Q2: Evaluate f sec²0 √tan²0-1 = do

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Q: Fx 4x2cos x find the derivative of fx

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Q: 10. Which pair of lines are perpendicular? a. -5x+y+1=0, 5x+y+1=0 b. 2x+3y-7=0,-3x-2y+2=0 c.…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Q1// prove one only: tan²x-1 tan²x+1 = 1-2cos²x

A: Topic = Trigonometry

Q: Solve the given differential equation by using an appropriate substitution. The DE is homogeneous.…

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Q: Use the chain rule to evaluate fu and f, at (u,v)=(2,-2) where f(x,y,z)=y³+xz² and x=x(u,v)=u+v²,…

A: Concept: The chain rule for the function f (x,y,z) is  dfdu=∂f∂x∂x∂u+∂f∂y∂y∂u+∂f∂z∂z∂u…

Q: a) Use polar coordinates to calculate SSR(3x+2y)dA where R is the region in the second quadrant…

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Q: Find the measure of each angle indicated. Round to the nearest tenth. 2) 1) C 12 A 13 HAMMUZ HIVI…

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Q: 6. Find the general solution of the PDE. The solution u is a function of x and y. U = x-yz +y³

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Q: 4. A plane travels on a bearing of 15° at an air speed of 655 km/h. It encounters a wind blowing at…

A: Given the air speed of the plane is 655 km/h at a bearing of 15°.  The wind speed is 45 km/h at a…

Q: Helicopter Task Introduction: An observer at Point A makes measurements that show that the peak of…

A: We need to solve Helicopter task.

Q: Find the general solution of: (x² - y2)dx + 2xydy = 0

A: Here we have to solve the differential equation.

Q: f(x) = z²+6x+5 x-1

A: On solving this we will get

Q: ]f(x)=x³-9x² +15x+4

A: To find all the details of the function, critical points, inflection points, domain etc and finally…

Q: 5. For what values of x will the function, f(x) = a) -6,0 b) -6, -3,0 x-3 x³+3x²-18x be…

A: Given :f(x)=x-3x3+3x2-18x

Q: Evalvate 5x-12 X (x²+4) dx

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Q: (i) Find the shortest distance from the origin to the line 3x + y = 6 and give the coordinate of the…

A: We have to solve given Questions.

Q: Solve the differential equation. dy dx 8x(y² + 1) n(4x² + ) X tan

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Q: Determine the Cartesian equation of the plane that contains the line = (7,2,-1)+ a(4,5,1) and…

A: Given problem:- Determine the Cartesian equation of the plane that contains the line = (7,2,-1) +…

Q: Which of the following is an example of a divergent infinite series whose general term tends to…

A: From the given infinite series, we have to find the divergent series whose general term tends to…