Use the Direct Comparison Test or the Limit Comparison Test to determine the convergence or divergence of the series. 1 n=2 τη- n 1

Q: Suppose f(x) = 3x + 4. Then the inverse of fis given by ƒ-¹(x) = Moreover, ƒ'(x) = ₁ and (ƒ−¹)'(x)…

A: we need to find out the inverse of the function.

Q: 3. Consider the recurrence relation an = an-1 + 6an-2 with first two terms a = 0 and a₁ = 1. a.…

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Q: Suppose that for a company maunfacturing calculators, the cost and revenue equations are given by C…

A: We have to find the rate of change of cost, revenue and profit.

Q: Nonhomogeneous Linear Equations In this section we learn how to solve second-order nonhomogeneous…

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Q: Use polar coordinates to find the volume of the solid bounded by the parabolas z = 3x² + 3y² and z =…

A: The solid is bounded by the curves:z=3x2+3y2        and          z=4-x2-y2

Q: Solve for the indicated value, and graph the situation showing the solution point. The formula for =…

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Q: Find a power series representation for the function. 8 + Χ (1 − x)2 f(x) Σ( 1) η Determine the…

A: The given function is: f(x)=8+x(1-x)2

Q: TT X S cos dx 2 0

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Q: Obtain the general solution by the indicated technique: separation of variables 1.1 adß+…

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

Q: = x³ +. 5. f(x) = 忘 3x = y + 4 = U x + 2y 6=0

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Q: (2n+1)! b) Ση=1 (3)η

A: Let us consider a series ∑n=1∞un with limn->∞un+1un>1 and also {un} is monotonic increasing…

Q: limg-5 5-x 2-√x-1

A: The Solution is given below:-

Q: 5/136 A cable weighing 25 newtons per meter of length is suspended from point A and passes over the…

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Q: n^3/n^3

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Q: Assume that marginal revenue is given by: dI(x) / dx = 2,500 - x - 2x2 a) Determine the revenue…

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Q: 5. Determine the location and value of the absolute extreme values of f on the given interval, if…

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Q: 7. Determine the standard equation of the parabola in the figure given only its focus and vertex.…

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Q: Problem 3. evaluating them. 1 a) Lot (12 - 31³1/²2 S - dx Determine whether each integral is…

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Q: g. What is the general equation of a circle whose center is at M(5,-3) and whose radius is 4 units.…

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Q: Use linear approximation, which is mathematically expressed as L(x) = f(a) + f '(a)-(x - a), In…

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Q: Problem 3. evaluating them. (a) 1₁ 1 (x - 3)³/2 dx Determine whether each integral is convergent or…

A: Note : I think question c is incorrectly printed

Q: Consider two nonnegative numbers x and y where x + y = 11. What is the minimum value of 7x² + 13y?…

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Q: Give the standard equation of the circle satisfying the given condition. a. Contains the point(-2,0)…

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Q: Find the equation of the lines tangent to the curve x² + y² = 4 and parallel to the line x = 3 ?…

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Q: 1) Use the Comparison Test to determine whether the infinite series is convergent. ∞     k = 2…

A: Comparison Test:- If a series of the form ∑n=1∞an is given. Also if we know that ∑n=1∞an≤∑n=1∞bn…

Q: original function is 2x^3+3x^2-12x+1 derivative= 6x^2+6x-12

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Q: Calculate the double integral S fæ cos(2x + y) dA where R is the region: 0 ≤ x ≤ 7,0 ≤ y ≤ 4

A: The given integral is: ∫∫R x cos(2x+y) dA       where R is the region:  0≤x≤π6,   0≤y≤π4

Q: [6 6x ln (x + 5) dx

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Q: Find the Fourier Cosine Transform of the function ƒ(x) = (ae-4x + be-³x + ce-²x)² if x > 0 if a = 4,…

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Q: how do we know xi = 1 + 2i/n

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Q: 6. Determine the domain and range of the vector valued fun r(t) = (In(t-2). √²) 1 t-4' fang

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Q: S E none of these F u= (2-4x) 1/4

A: We need to find out the correct option for the substitution.

Q: 16 Let Find A-1, if it exists. a) O b) O A|- A10 ú A/w Alu o N/W N/W - alt AI AI A Alo Alto ú -4 -|-…

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Q: Find the absolute maximum and minimum of f(x, y) = 2x + 4y within the domain x² + y² ≤ 1. Please…

A: Given function:- fx,y=2x+4y Let gx,y=x2+y2-1

Q: Consider the solid obtained by rotating the region bounded by the given curves about the line x = 3.…

A: figure:-

Q: Use the Second Derivative Test to find the location of all local extrema in the interval (-7,5) for…

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Q: Find the differential equation by eliminating the arbitrary y = Asin 5x + B cos 5x constant State…

A: we need to write down the differential equation by eliminating the arbitrary constant.

Q: Determine whether the integral is convergent or divergent. 100 (x - 6)³ 8 S² O convergent O…

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Q: Describe and sketch the following set of points defined by the following conditions. (x + 2)² + y² +…

A: Given : we have a surface     (x+2)2+y2+z-12=9 and with the conditions :   x≥-2, y≥0, z≥1    To find…

Q: 8) Find a basis for the space spanned by the 5 vectors listed below O T 1 2 26 4 1-1, 1, 0, 1 3…

A: Concept: Reduced roe echelon form abbreviation is (rref) When a matrix is in row echelon form,…

Q: (a) Using algebraic division and integration by substitution, or otherwise, show that - dx = e² −…

A: We can evaluate the given integral by using the substitution u = ex

Q: Problem 6. A particle is moving on a horizontal line. Its distance from the origin at time t20 is…

A: The  particle is moving to the left if the velocity is negative.

Q: Let F(x, y, z) = x³i+y³j+z³k. Compute the following: (i) V.F (ii) V X F

A: i) Given:       Fx,y,z=x3i+y3j+z3k then         ∇·F=∂∂xx3+∂∂yy3+∂∂zz3                 =3x2+3y2+3z2…

Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

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Q: Directions: Show all your work neatly and in order. 1. Find the mass of the solid E bounded by the…

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Q: Determine whether the integral is convergent or divergent. 3 36 √3-x O convergent O divergent dx If…

A: Given integral:- ∫23363-xdx

Q: Question One (a) Let U = 3i-j-4k and V = -2i+4j-3k. Show that U-V is commutative but U x V is not.…

A: “Since you have posted multiple questions with multiple sub parts, we will provide the solution only…

Q: 2 + 3. The velocity of a particle moving in a straight line is given by v(t) = t² + (a) Find an…

A: The velocity of a particle moving along a straight line is given by vt=t2+3 We have to find the…

Q: Find the equation of the line tangent to the graph of f(x)=(lnx)2 at x=9.

A: Given query is to find the equation of the tangent line.

Q: Calculate 25 j by writing it as a difference of two sums and using one of the Power Sums formulas.…

A: To find:- ∑j=76250j