Q: Consider the series (In(2n + 1) –- In(2n – 1)). n=1 (a) Let an = In(2n + 1) - In(2n - 1). Does {a}1 ...
A: (a) To check: Whether an=ln(2n+1)-ln(2n-1) Solution: limn→∞ ln2n+1-ln2n-1=limn→∞ ln2n+12n-1 ...
Q: Find a formula for the nth term of the arithmetic sequence. a1= -4, a5=4 an
A: Topic:- sequence and series
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Q: A cylindrical tank with a radius of 5 ft and a height of 20 ft is filled with a certain liquid chemi...
A: topic - application of derivatives
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A: solution is written in below steps.
Q: Differentiate the function. 1,2 g(x) = 6. 6x + 15 | g'(x) = %3D
A: topic - derivative of a function
Q: I. Find the derivative of the following functions: a. f(r) = 23 + 6x b. h(r) = (3r + 4)2 c. y = Vr3
A: According to company rules, I need to solve first 3 subparts when multiple subparts are posted
Q: Given the following multiplication problem Equation 1: - 24V,=-8V2 -24 8 gives us equations -2 Equat...
A: From the matrix, we have the eigenvalues as λ1=-26λ2=0 When, λ1=-26 the eigenvector is μ1=-41
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Q: Determine if f is differentiable at r = 0 given that 4 cos-1 ), if – 2 0, r# 1.
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Q: A cylindrical tank with radius 5 m is being filled with water at a rate of 4 m³/min. How fast is the...
A: Find your answer below
Q: Find the slope of the tangent to the curve x^2+3xy+y^2=5 at (1,1).
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Q: Show the solution that a,+1 < a, for each n E N (-1)" п! n=1
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Q: Given the following matrix and its eigenvalues -27 3 2 1. Find the two eigenvalues for the matrix 2....
A: a) Eigenvalues: λ1=5λ2=-5 b) Matrix of eigenvalues For λ1=5 -773-3 For λ2=-5 3737
Q: Given the triangle below, find sec(0). Enter an exact answer in fraction form.
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Q: (금)-(부)' h k Write the equation of the hyperbola in standard form 1 2-
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Q: Suppose that5. an is an infinite Series with Patial Sum 7-2 n:1 16 what are the values of S an and a...
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Q: If y=x^4−5 and dx/dt=−1, find dy/dt at x=−3.
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Q: 6. Find the smallest constantr so that o(x) == x" is a solution to 3z'y" +11lry -3y= 0, for z >0 -3 ...
A: 6.ϕr=xr is a solution to 3x2y''+11xy'-3y=0, for x>0
Q: Question Select your answer. Vhat is the equation of the tangent line to the function F(x) = x? + 2x...
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Q: Find the domain of the rational function. 2x g(x) = (x + 4)(x - 9) {x|x # -4, x * 9, x * -2} all rea...
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Q: B. Find the sor and aguation of the TANGENT and NORMAL LINE to the curve Graph cach curve, normal, a...
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Q: (b) ) п? + 2n n=1
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Q: Q2/ Sketch each region, label each bounding curve with its equation, and give the coordinates of the...
A: Note : " Since you have posted multiple questions, we will solve first question for you. To get rema...
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A: Vloume(V)=43πr3Differentiate w.r.t tdVdt=43π.3r2.drdt
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Q: onsider the following function. f(t) = 20sqrt t-3 (a) Find the relative rate of change. (b) Evaluate...
A: Consider the following function. f(t) = 20sqrt t-3 (a) Find the relative rate of change. (b) E...
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Q: 1. Express B= 2i +j-3k as the sum of a vect or parallel to A = 3i - j and a vector orthogonal to A. ...
A: To express the vector B→=2i^+j^+3k^ as the sum of a vector to A→=3i^-j^. Solution: let B→=2i^+j^+3k^...
Q: Statement Equation X and inversely as cube of W. z = KM³N the product of r and t and inversely as W ...
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Q: 2. a) Find lim g(x), lim g(x) and lim g(x) 2 b) Find f(1). c) Is g continuous at x = 1? Why or why n...
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Q: y" – 4y' = x2 By used Variation of Parameters Metho
A: Topic:- differential equations
Q: 3x dx - 25
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Q: 1. 3 2 a) Find lim f(x), lim f(x) and lim f(x) b) Find f(1). c) Is f continuous at x = 1? Why or why...
A: We have given figure. And we have discuss about limit and continuity at some certain point.
Q: (a) Suppose the infinite series an is divergent. Then for any constant c, the series n=1 > can is al...
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Q: Question Complete the blank , giving your answers to two decimal places where applicable.(Explain w...
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Q: Determine whether the integral is convergent or divergent. If it is convergent, evaluate it. (If the...
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Q: 3. Find the constant a so that o(x) = re2 is a solution to y+ay- e =0. 0 4 O 3 0 1
A: ϕ(x)=xe2x is a solution to y'+ay-e2x=0
Q: x = 3 sin 0 is an appropriate trigonometric substitution for the integral 3-x2 dxp. x2 Select one: O...
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Q: Question Select your answer. Find the derivative of f(x) = 5/x with respect to r. 2x 5 Answer
A: Given :f(x)=5xf(x)=x2+5x
Q: x In(2 + x³) dx
A: Topic = Integration
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Q: Find the equation of the circle that passes through the points (10,2), (9,-3), given that its center...
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Q: A 5 m pole, Teaning against a wall slips in such a way that its base is vedin HOVing away from the w...
A: Draw the diagram and use the Pythagoras theoram and concept of rate of change.
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