Use the ratio test to determine the radius of convergence.

Q: c) Find the exact lenght of the curve y = 100x – 100 between on the interval 0 < x < 11/2 Answer:

A: We can find the arc length as below.

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A:

Q: 9. Given z=x siny + 2x*y- cos(xy), calculate or z yr C) cosy+4x +x cos(xy) + ysin(xy) D) cosy+4x +…

A:

Q: Consider the iterated integral || f(x, y) dy da where R is the region between the curves y = r and y…

A: To find the missing values in the limits of the integral .

Q: lecture(12.4): Here are the final grades for the students who took STAT683 last semester.…

A: The mean of data N number of data x1, x2, x3, ..., xN is μ=x1+x2+x3+ ... +xNN The standard…

Q: dy = ya dx

A: Given the Bernoulli's differential equation is dydx - yx = y9

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A: topic - slope of a function

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A:

Q: Benjamin wants to accumulate at least $45,000 by depositing $1,200 at the end of each month into a…

A:

Q: sinx 18. Supposed Ax) = [ V1+t* dt and g(y) = | f(x)dx , what is the value of g' 15 A) 2 C) B) D)

A:

Q: 6) Find the resulting function after the following transformations are applied to the graph of h(x):…

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Q: V8x 1. S V³ ++ dx V4x2

A:

Q: Use the First Derivative Test to find the local maximum and minimum values of the fu M(t) = 4t3 +…

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A:

Q: Confirm that the Integral Test can be applied to the series. Then use the Integral Test to determine…

A:

Q: Use cylindrical shells to find the volume of the solid generated when the region enclosed by the…

A:

Q: Evaluate the integral. 8. 9. dx x² 7.

A:

Q: 3) Find the missing angle and sides of the triangle below. Round the lengths of the sides to the…

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Q: 10

A:

Q: in lim n' In n→∞ n!

A:

Q: 5x +2y -9z 44 -9x -2y +2z 11 6x +7y +3z =5

A:

Q: Determine the length of x =(y – 1)3/2 between 1<y< 4.

A: We can determine the length of the curve as below.

Q: Find the directional derivative of the function at P in the direction of v. f(x, y, z) = xy + yz +…

A:

Q: Q\ use Euler's method to the differen fial equa tion Solve y=XVXY When y co) =\ cnd

A: For the solution follow the next step.

Q: Let the region be bounded by the curves y= 2 /x and y = 4, and x 16. i) (ODraw this bounded region…

A: Given problem:- Let the region be bounded by the curves y = 2√x and y=4, and x = 16   i) Draw this…

Q: Find the volume of the solid generated when the region enclosed by y = Vz +1, y = V4x, and y = 0 is…

A:

Q: Find the volume of the solid generated by revolving the specified region about the given line.…

A: From the given region R;   Apply the cylindrical shell method, to find the volume of the revolution…

Q: fined ely elx ex ex + e y.

A: y=ex-e-xex+e-xDifferentiate w.r.t x

Q: Use the graph to match the integral for the volume with the axis of rotation. (a) O () r-axis O (i)…

A: Solution )  a) outer radius R = a  Inner radius r = f(y)  Limit of y  0 to b So rotation of volume…

Q: Let 8n an 1- 2n For the following answer blanks, decide whether the given sequence or series is…

A:

Q: Solve using the method of undetermined coefficients 1/4 y'' + y' + y= x² - 2x

A: Here we have to solve the given differential equation by the method of undetermined coefficients. We…

Q: 4. Given the function f(x) = x² - 6x + 9, show by IVT that there is/are c on [-3,3] such that f(c) =…

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Q: Find D in the partial fraction decompositon 12x2 -8x+40 Cx+D + x² +9 B (x-4)(x2 +9) X-4 O 9 O 7 O 10…

A:

Q: Hazel is 24 and wants to retire at age 62. She deposits $1,100 at the end of every 6 months into a…

A: We have to find how much money does she have in the fund when she retires, size of the monthly…

Q: 30 20 10 -10 - 6 4 -2 8 10 -10 -20 30 16

A:

Q: Problem #8: Demand for a certain kind of SUV obeys the following equation, D(x, y) = 20,000 – V-…

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Q: A particle moves along the x-axis with velocity given by v(t) = 3T sin (t) for time 10 at time t =…

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Q: 8. Find a Cartesian equation for the surface whose spherical equation is p= 2 sin() sin(0).

A: Solve the following

Q: Evaluate the integral. 2x´dx 4 5.

A: ∫452x2dx

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A:

Q: y" - 4y 8xe2x %3D %3D

A: As per our guidelines we are supposed to answer only one question. Kindly re-post other question as…

Q: Using Laplace transforms. Solve y" + 4y′ + 3y = e^t. When, y(0) = 0 and y′(0) = 0. Whole Solution

A:

Q: 1 0 0 A = -1 2 0 1 0

A:

Q: As a fungus grows, its rate of growth changes. Young fungi grow exponentially, while in larger fungi…

A: The given problem is solved below in detail.

Q: Compute the following limit if it exists. -3x-18 lim x-6 Select the correct choice beiow and fill in…

A: L’hospital’s rule   limx→cfxgx=limx→cf'xg'x     Here,  limx→6x2-3x-18x-6      =limx→62x-3…

Q: Find the gradient of the function at the given point. g(x, y) = 3xellx, (10, 0) Vg(10, 0) =

A:

Q: Find the function satisfying the differential equation f'(t) – f(t) = -2t and the condition f(2) =…

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Q: dy (t2 – 26t + 120) = y dt

A: