Nhich of the following p-series are divergent? 00 ロと-4 S ロEsk-品 Σ 6666 10000 k38 ロと-7 1 k=7 ロEk 10001 T0000 こk=2

Q: Use hooorthms to Solve. 18103+x= हा c\ २ ५६.

A: The given equations,17. e3x=1018. 103+x=23

Q: What is the equation of the vertical asymptote of f(x) = tan x where 0 < x < n

A: First draw the graph and get the vertical asymptot.

Q: A pencil cup with a capacity of 32 in. is to be constructed in the shape of a rectangular box with a...

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Q: Assignment: Determine the derivative of the ff. functions. 1. y = 8x5 - 2021, 5th derivative 2. y = ...

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Q: Find the indefinite integral. (Use C for the constant of integration.) (5 cos x + 7 sin x) dx

A: ∫5cosx+7sinx dx∫5cosx dx+∫7sinx dx

Q: If f(x, y) = 7xe5y + + 7y lnx, then is given by: 35e5y + 5/x 49e5y + 7/x 25e5y + 7/x 5లోbw + 7/a

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Q: - 4q° + 700g , where R(q) is in dollars and q Suppose a product's revenue function is given by R(q) ...

A: The revenue function is given by Rq = -4q2+700q Formula Used: MR62 = dRdqq=62 To evaluate: The margi...

Q: 2. The position function of a particle is given by s(t) = (t – 1)²(t – 3) , where t is measured is s...

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Q: find the particular solution to y’’ + 5y’ − 6y  =  6t + 7

A: y"+5y'-6y=6t+7Auxillary eq f(D)=D2-5D-6Q = 6t+7Particular Integral be denoted by PIPI=1f(D)QPI=1D2+5...

Q: Determine whether the series is absolutely convergent, conditionally convergent, or divergent. (-1)"...

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Q: O y" + xy" + 3y² = 5

A: Given that the four differential equations To find:- Which is 3rd degree differential equations

Q: Letting aa and bb be two positive real numbes such that ab=lab=1, which of the followings is true? I...

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Q: Evaluate the integral using the following values. 9. 9. x dx = 320, x dx = 16, dx = 4 61.3 dx

A: Use given value to solve

Q: Use the method of cylindrical shells to find the volume V generated by rotating the region bounded b...

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Q: A rectangular flower garden with an area of 390 m² is surrounded by a grass border 1 m wide on two s...

A: Area of garden =390m2vertical height of garden = hthen length of other side of the garden is 360hThe...

Q: The plane x + y + 2z = 20 intersects the paraboloid z = x² + y² in an ellipse. Find the points on th...

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Q: A Evaluate the following integrals. 1. S2 dx 2. S6x dx 3. f9° dt 4. S-15x dx 5. S(3x - 4) dx 6. S(7u...

A: As per guidelines, I can answer maximum three subparts of a question. Since you have asked for 11 su...

Q: 1. Determine whether the following series conv. or div. (n+4)! a. Ln=1 4! n! 4n 1 1 b. En=1 4n 2" co...

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Q: ach of the following with the correct psolutely convergent. verges, but is not absolutely conver erg...

A: We have to match according to the given information

Q: 1. f(x) = 8 sin x

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: Change from rectangular to spherical coordinates (0, 4sqrt3, 4) and (-3,3,3sqrt6)

A: Note that:Limits of ρ, θ, ϕ are:∙   ρ&gt;0∙   0&lt;θ&lt;2π∙   0≤ϕ≤π

Q: 1-tanx 1. If f(x) = then find f'(-). 1+tanx

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Q: (b) Find the dimensions of a box with a square base with surface area 56 and the maximal volume. (Us...

A: Given  problem:- Find the dimensions of a box with a square base with surface area 56 and the maxima...

Q: Find the intervals on which f(x) is increasing, the intervals on which f(x) is decreasing, and the l...

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Q: -y cutting away identical squares from each corner of a rectangular piece of cardboard and folding u...

A: Given : v(x)=4x3-48x2+140x. 

Q: Find dy/dx of the function. y=log2 x

A: To find derivative of given function.

Q: The integral of the given function f cos?t sin5tdt is cos³t -cost-cos't + C b. – cos³t +?cosst +cos'...

A: Given: ∫cos2t sin5t dt

Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by ...

A: Here we have to find the volume generated by rotating the region bounded by the given curve about y=...

Q: Sketch the region enclosed by the given curves. y 2 cos(7x), y = 2 sin(14x), X = 0, 14 y 2.0+ 1.5 1....

A: We have to find the area between the curves.

Q: A storage shed is to be built in the shape of a box with a square base. It is to have a volume of 1,...

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

Q: Sketch the region enclosed by the given curves and find its area. 1 y x > 0 y = x y 4 | || |8

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Q: (a) Find the dimensions of a box with a square base with volume 27 and the minimal surface area. (Us...

A: This is an optimisation problem, we use derivatives to find critical points and use second derivativ...

Q: Find the general solution of the differential equation. (Use C for the constant of integration.) dy ...

A: We know, ∫ dx/xn = x(-n+1)/(-n+1) +C , C is a constant and for any real number n.

Q: A Norman window is constructed by adjoining a semicircle to the top of an ordinary rectangular windo...

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Q: Calculate the derivative using implicit differentiation: dw x'w + wt + wz² + 4yz = C dz ||

A: Given problem:-

Q: Sketch the region bounded by the given curves, then find the centroid of its area. 1. y = 12 – 3x2 ,...

A: Centroid of the region :            x = 1A∫ab fx-gx dx  and  y = 1A∫ab 12fx2 - gx2 dx               ...

Q: 2. An jet travels horizontally at a speed of 500mph at an altitude of 3 miles above the ground. A vi...

A: We need to find rate of change of angle of elevation.

Q: The population of a country was 5.397 million in 1990. The approximate growth rate of the country's ...

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Q: Find the exact value of the expression. co(sn-() - cot-(V3)) 2 Need Help? Read It

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Q: Write the partial fraction form of the following expression: 4 x²+15x+56 Note: You are not asked to ...

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Q: Find the area of the surface generated by revolving the curve y=- 24 .Osxs/6. about the x-axis.

A: area = ∫06 ydx area = ∫06  x3dx/24 area = [x4/96]60 area = 6*6/96 - 0 area = 3/8

Q: Use linear approximation to estimate the following quantity. Choose a value of a to produce a small ...

A: The objective of the question is evaluate the value.

Q: Use left and right endpoints and the given number of rectangles to find two approximations of the ar...

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Q: Consider the following. u = (-9, -3, -7), v = (-4, -5, –1) (a) Find the projection of u onto v. (b) ...

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Q: 4 For the function J (*) the tangent at point A has equation Y = 2a +7. The coordinates of point A a...

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Q: Find the exact length of the curve. y = = 0 < x < 6

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Q: 6. List two similarities and two differences between natural logarithms and common logarithm

A: Natural logarithm is denoted as 'ln' and common logarithm is denoted as 'log'.

Q: Find a polynomial of degree n that has only the given zero(s). (There are many correct answers.) x =...

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Q: Find the antiderivative of the function f(x) = x'. That is, find a function F(x) for which F' (x) = ...

A: Given problem:- Find the antiderivative of the function f(x) = x7 That is, find a function F(x) for ...

Q: w= Cos (x+y) + Sin (X-4) Show that dy?

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