Sts dx 4+x4 4 4 V2

Q: Re write the equation to form x=g(x)

A: This is a problem of numerical method. For fixed point iteration method we will convert first the eq...

Q: 3. S(t* + 2t3 + t? - t +5)e3 dt

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Q: Find the average value of f(x) = ln x on the interval [1,2].

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Q: Find the radius of convergence and the interval of convergence. k + 2 Radius of convergence: 1 Inter...

A: To find the radius of convergence and interval of convergence use the following series tests. The c...

Q: Problem 6. Consider the curve defined by y2 – 4xy + 2x? = 7y. Write the equation of the tangent line...

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Q: If a rock is dropped from a height of 196 ft, its poistion t seconds after it is dropped until it hi...

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Q: 5n+1 Determine if the series > converges or diverges and choose the option that describes the behavi...

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Q: At 10:17 a.m., you pass a police car at 55mph that is stopped on the freeway. You pass a second poli...

A: This is a problem related to distance and velocity. By using the below formula we will solve given q...

Q: esinh dx sech x

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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: An investor deposits $9,000 into an account that pays 8% compounded continuously, and then begins to...

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Q: Find the vertex, focus, and directrix for the parabola (x + 1)² = 8(y + 2) Vertex: Focus: Eguation o...

A: Topic = Parabola Vertex  (-1,-2) Focus ( -1,0) Equation of the Directrix , y= -4

Q: Find the focus, directrix, focal diameter, vertex and axis of symmetry for the parabola 33.2x = y? F...

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Q: Solve the problem. Suppose that the radius r and volume V = tr of a sphere are differentiable functi...

A: Explained below 

Q: Expand the logarithm as much as possible. Rewrite the expression as a sum, difference, or product of...

A: We have to solve the question.

Q: Find the absolute maximum value of f(x) = 2x In and say where it is assumed. %3D | The absolute maxi...

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Q: I- dx et Р5+ 4e»

A: Explanation of the answer is as follows

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. 

Q: dy given that dx Use logarithmic differentiation to find sec-(T) 4sech(5z) (log6 x)" y =

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Q: For each function, determine whether it is a polynomial function. Is the function a polynomial? Func...

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Q: r-3 Given the functions f(x) = 3+ VT, g(x) = x- 3, h(r)= m(x) = find the following: 3x + 5° 5r -1' (...

A: According to our guidelines we can answer only three subparts and rest can be reposted.Kindly repost...

Q: Determine whether the alternating series converges. Σ k + 1 7k + 1 k=1

A: ∑k=1∞(-1)k+1k+17k+1  Above Series is an alternating seriesApply Liebnitz Testlet   ak=k+17k+1      a...

Q: VI. Give the Maclaurin series expansion of f(x) = ln(2 – 3x). Determine its interval of convergence....

A: Note that, the Maclaurin series of ln (1-x) is: ln (1-x)=-x-x22-x33-x44-...           ...(1) which i...

Q: L'Hôpital's Rule does not help with the following limit. The expression keeps on cycling. Find the l...

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Q: Find the slope of the tangent line to the graph at the given point. (x2 + 4)y = 8, (-2, 1)

A: Slope = dy/dx

Q: Find the exact length of the curve on the given interval. Show at least 3 steps to justify your answ...

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Q: Find the volume of the solid generated by revolving the area bounded by the given curves about the i...

A: First draw the curve then use the disc method to find the solid obtained. 

Q: The equation of the ellipse that has a center at (4, 2), a focus at (7, 2), and a vertex at (9, 2), ...

A: We will find the equation of ellipse as shown below

Q: Differentiate. 5x y = et 5- 5x y' = %3D et

A: Yes above answer is correct, lets see how to solve... This is the simple question based on different...

Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not,...

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Q: 2n n=1 п+ en

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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: Which of the following is another point on the tangent line of f(x) = x³ at the point (1, 1)? (3, 6)...

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Q: A projectile is fired vertically upward into the air, its position (in feet) above the ground after ...

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Q: Find the area under the curve 2.5 y = 1.5x %3D from x = :7 to x = t and evaluate it for t = 10, t = ...

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Q: I. Use the limit of the rates as Ax approaches zero. Ax 2х-3 4. y = ; Зx+4 引

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Q: 4. A 12-meter string is cut into two pieces so that x meters will be used to form a circle and the r...

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Q: 238 The isotope of plutonium 40° Pu is used to make thermoelectric power sources for spacecraft. Sup...

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Q: – 4x + 30 The partial fraction decomposition of can be written in the form of 8x2 + 34x + 21 f(x) g(...

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Q: Find vector V such that the vector has a length of 16 and makes an angle of n/3 with the x-axis.

A: Given problem:- Find vector V such that the vector has a length of 16 and makes an angle of π/3 with...

Q: (12 let y.(z) be the solution for the initial valve problem given belaw. e y' + 6x"y = In(x), x>0, y...

A: The given DE is: x5y'+6x4y=ln(x)x...(1) x>0 & y(1)=5

Q: A spherical balloon is inflated so that its radius (r) increases at a rate of 1/3cm/sec. How fast is...

A: Vloume(V)=43πr3Differentiate w.r.t tdVdt=43π.3r2.drdt

Q: If f(x) = 2x+11 then we can write %3D (x-1)(x²+x+1) Select one: O f(x) = 4 + x+1 x+x+1 O f(x) = + X-...

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Q: 10 12 13 14 f(x) 3 6. 5 26. The table above gives values of the continuous function f at selected va...

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Q: For each function, determine whether it is a polynomial function. Is the function a polynomial? Func...

A: polynomial function is that in which the power is positive and non-zero integer. so here lets check ...

Q: B. Apply the quotient rule to find the derivative 1. y 4-7x 3. y = 5- 3x

A: From the quotient rule of derivative we get Let,  y=uv where u and v is function of x then dydx= vdu...

Q: Find the general solution of the given second-order differential equation. 3y" + 2y' + y = o y(x) -

A: Solution:3y''+2y'+y=03D2+2D+1y=0Auxiliary equation 3m2+2m+1=0m=-2±22-4×3×12×3=-2±22i2×3=-1±2i3m=-13±...

Q: 4.у%3D (2х — х3)(2х + 1)

A: Follow the procedure given below.

Q: 1-1 2. (-1)^- n=1

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Q: The table below gives selected values for the differentiable and decreasing function f and its deriv...

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