Use the Direct Comparison Test to determine the convergence or divergence of the series. 00 n = 0 5" + 1 converges O diverges

Q: 11 Show that dy dx = 1-In2. 8(xy +1) 0 0

A: Follow next step

Q: Use the shell method to find the volume of the solid generated by revolving the shaded region about ...

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Q: 23 c) [[(x?y +1) dx dy answer: 10.5 1 2

A: Taking integration. 

Q: dy Find dx2 18x? + y? = 7

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Q: Find the absolute maximum and minimum values of the function over the indicated interval, and indica...

A: The given question has been solved in detail. 

Q: Find the linearization of f (x) = Vx at x = 8. Use this to estimate f(8.2). Then find |f (8.2) – L(8...

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Q: ba be #3. Let n be an ntey er with nzl and let b,, bzbn be positive real numbers, not all egual, suc...

A: Solved below

Q: + yž = 1, when x = 0, y = 4 dx cos(x + y), when x = 0,y =" dx

A: The objective is to find the solution of the differential equation.

Q: 3x-4 if-3 SXS4 If f(x) = find: (a) f(0), (b) f(1), (c) f(4), and (d) f(5). x -4 if 4<xs 5

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Q: Sx? cosx dx

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Q: f(x) = Vx, [1,9]

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Q: 6 3 Consider the function f(x) x2 = 0. Let F(x) be the antiderivative of f(x) with F(1) = Then F(x)

A: We can find the antiderivative of the given function by using the following formula.

Q: The table below gives U.S. lead emissions, L, into the environment in millions of metric tons for 19...

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Q: Find the distance between the following points wchich are represented in polar coordinates, P: (r, 0...

A: Given query is to find the distance between given points.

Q: Solve the initial value problem: y' = – 0.05y + 20 y(0) = 40 y(t) =

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Q: Find the Maclaurin polynomials of orders n = 0, 1, 2, 3, and 4 and then find the nth Maclaurin polyn...

A: f(x)=20 ln(1+x)f0(x)=20 ln(1+x)f0(0) =20 ln 1 = 0f1(x)=f'(x) =20 1(1+x)f1(0) =20 1(1+0) = 20f2(x)=f'...

Q: Given R(t) =4 cos ti + (1 + 3cost)j + 5sintk. Find the arc length of the portion of R(T) from t = 0 ...

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Q: The projected percent of a country's adult population with diabetes (diagnosed and undiagnosed) can ...

A: The projected percent of a country's adult population with diabetes can be modeled by y=5.97x0.492 w...

Q: What causes oblique (slanted) asymptotes in rational functions and how do you find the equation for ...

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Q: Find the absolute maximum and minimum values of the function over the indicated interval, and indica...

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Q: Evaluate f(x)=5x^4+5x^3+4x^2-2 using synthetic substition to find f(-3). Please show work.

A: Given, f(x)=5x4+5x3+4x2-2 To find f(-3)

Q: cone is being emptied of fluid at the rate of 14 cubic centimeters per second. The height of the fun...

A: small funnel in the shape of a cone is being emptied of fluid at the rate of 14 cubic centimeters pe...

Q: If b = 1, c = 2, and ZA = 60o, find a. %3D

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Q: Find the absolute extrema of the function, if they exist, over the indicated interval. Also indicate...

A: topic - application of derivatives

Q: visitor is staying in a tent that is 10 miles west of the closest point on a shoreline to a coral re...

A: Given query is to find the respective distance of running and swimming to minimize the time.

Q: Find the Maclaurin series for the function. f(x) = x² sin(x) Σ f(x) n= 0

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Q: Find the derivative of the function at the given point in the direction of A. f(x.у) в - 10х? + бу, ...

A: Find the derivative of the function at the given point in the direction of A .  f(x,y)= -10x2+6y,  (...

Q: Use one of the limit definitions to find the derivative of f(x) at x = 2. f(x) = 4x2

A: Explained below

Q: Let f(x,y) = tan 1(sinh (y) + 2020 cos - 'y) + 4xy Calculate

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Q: Show

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Q: 7. cos(x + y), when x = 0, y - dx

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Q: el is being dumped from a conveyer belt at a rate of 20m /min and its coarseness is such that it sa ...

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Q: Let A = (0,0,0), B= (1,0,2), C = (2,1,1). Which of the following lines is perpendicular to the plane...

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Q: [-2 + j3 -1/3 6235°. -j d) D =

A: Given -2+3j-1/3-j6∠35First we will convert 6∠35 to rectangular formWe know that x=acosθ and y=asinθ

Q: Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = e3x + e-x (a) Find the...

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Q: If C(t) = 18.5t e--0.1t measures the ng , of a drug in a person's 140- concentration, in ml' 120- sy...

A: Given minimum effective concentration = 30ngml                                                      ...

Q: Find the local maximum, minimum and saddle points of the function using the second derivative test +...

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Q: 6 36 36-y Top: y +z 36 Here is the region of integration of the integral dz dy dx. Rewrite the integ...

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Q: A roasted turkey is taken from an oven when its temperature has reached 185 Fahrenheit and is placed...

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Q: VI. Halla el Dominio y Rango de las siguientes funciones: 1. f(x) = 5x - 7 2. g(x) = x2 + 4 3. h(x) ...

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Q: transformations

A: Please refer to the image below

Q: FDT. Given a function f(x) defined in a neighborhood of a critical point x = c, the first derivative...

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Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)...

A: Let's find. 

Q: 6. Find the domain of the following functions (where defined) a). f(x,y) = square root x+y+1/x^2 - ...

A: We can solve as follows

Q: Find the derivative of the function. 4.r y = +3 y'(x)

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Q: Does the following series converge or diverge? (-1)" Σ n=1 7n° +5 6

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Q: Assuming that z is a differentiable function of x and y, Let F(x,y.2) = In(x*y) – e" - tan Find F. O...

A: Here, the given function is: F(x,y,z)=ln(x2y)-eyz-tan-1z...(1) where z is a differentiable function ...

Q: For the function f(x) = cos(x), write Newton's formula f(xn) F(xn) for solving as xn+1 = = Xn f(x) 0...

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Q: Using disks or washers, find the volume of the solid obtained by rotating the region bounded by the ...

A: In this question we have to find the volume of the solid using disk or washers method.