Find the solution to the differential equation y' = 2xy? which satisfies the initial condition y(2) = 1.

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Q: Determine the Taylor series expansion about a = 1 of the function defined by f (x) = log3(2 – 1).

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Q: Express the repeating decimal as a fraction. 0.904818181818... 0.904818181818... =

A: topic - rational numbers

Q: Tes n=1

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Q: Questão 2 Check thatF(x, y) = (ez+y – y2 – cos(y))i + (ez+y – 2yx + xsen(y))j is a conservative fiel...

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Q: Solve the components of the given equation of conic sections and sketch the graph: а. 9y? — 4x2 + 32...

A: In this question we have to solve the following question.

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Q: show that for positive epsilon, |x-4| |3x-12|<e

A: a⇔b implies if a holds then also b holds and vice versa.

Q: Compute P,(f,0)(x) for the following function: f(0) = 42, f"(0) = 23, f) (0) =19, f®)(0) = 17, f("(0...

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Q: 1. Find the domain of the following functions: х? - 3х-10 а. у- х-5 х+5 b. y=- Vx - 5

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Q: On a particular lake, the difference between high and low tide is 6 hours. At low tide, 6 a.m., a st...

A: Answer is in step 2.

Q: 4.(a, b), (c, 0) 5.(2a+c, 2d), (2b-c, 2c)

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Q: Evaluate the integral using tabular integration by parts. 4 x° V2 x + 1 dx +C

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Q: 7 1 Calculate the following limit. Let an = Vn + In (n) and bn Vn (Give an exact answer. Use symboli...

A: Let's find. 

Q: Solve the given initial-value problem. The DE is a Bernoulli equation. dy 1 2xy = 4y, y(1) 3 = %3D d...

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Q: xy' + (x + 1)y = x, y(ln(2)) = 1

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Q: Direction: Provide what is asked in each item. 1. For what value of a does the limit of the piecewis...

A: Note: According to our expert guidelines only first three subparts are to be answered kindly repost ...

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A: Given

Q: If the cost of a telecommunications share is $282.55, calculate the end of quarter dividends that it...

A: We have to find the dividend at the end of quarter.

Q: Use the binomial series to find the Maclaurin series for the function. f(x) (1 + x) %3D 3 00 f(x) = ...

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Q: 3x What is f'(x) given the integral function f(x) = (4u – 2) du? O f'(x) = 4x-2 %3D O f'(x) = 12x -2...

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Q: B. Directions: Expand t Scoring Rubric: 3- The final ansv 2- The final ansv 1- The final ansv 0- No ...

A: = (12q+4r)12  Binomial Expression:(a+b)n =∑n=0nni a(n-i) bi(12q+4r)12:  a=12q, b=4r=120(12q)12-0(4r)...

Q: Use the binomial series to find the Maclaurin series for the function. f(x) = V1+ x %3D 00 f(x) = 1 ...

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Q: Inz Let U = ry ,x= Vst, y = s? - 1². Use the chain rule to find when s = 1, as 4. -. t = 2.

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Q: 3(1+x²)-1/2, y(C

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Q: Find all the second-order partial derivatives of the following function. h(x,y) = x ey + 5y + 9 dx a...

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Q: Consider the function f(x) = /4-x +1 for the domain (-00, 4]. Find f(x), wheref is the inverse of f....

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Q: Determine the composite function fog and gof. For each composite function state the domain and range...

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Q: Using Figure 1, complete the following function. (-8, - 6) Figure 2 cote = -3/4 3/4 -4/3 4/3 O O

A: Topic = Trigonometry

Q: 5. Find the equation of the line passing through (2, 5) and with y - intercept of 2.

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Q: a) Represent the parabola y = x² + 4 as a vector-valued function b) Sketch the vector valued functio...

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Q: Using Figure 4, complete these functions. P(-20, 21) Figure 4 sine = -21/29 20/29 21/29 -20/29

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Q: 3

A: We have to find the value of the given conditions according to the given information

Q: Find the Fourier f (x

A: Solving

Q: The cost, C (in $), to rent a car for n days from the EZ4U rental company is given by the linear fun...

A: see below the answer and explanation

Q: (c) The function f(x) is defined in the interval [-1,6] by 3-x, -1<x<2 f(x) ={ x -a, 2<x<b |(x-9)²-4...

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Q: Vx+11-4 (b) lim- x- 5 X-5

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Q: Evaluate: lim 2 tan (r – 2) sin(x – 2)ª

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Q: Use the following results, if needed, to determine whether each series converges or diverges. uk con...

A: (a) To test the convergence of the series ∑k=2∞1kln k5-1k5, we will analyze the convergence of the s...

Q: Let U = {1,2,3, 4, 5, · … · , 10} A = {2,4,6, 8, 10} B = {3,6,9} C = {1, 2,3, 8, 9, 10} perform the ...

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Q: Then find the length of the indicated portion of the curve. r​(t)=3e^t cost I+(3e^t sin t) j−3e^t k​...

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Q: Find the centroid along the y-axis of the plane area bounded by the equation y^2=4x, x=1 and the x-a...

A: Given curve is y2=4x ,x=1

Q: Using Figure 1, complete the following function. (-8, - 6) Figure 2 csce = 5/3 5/4 -5/3 -5/4

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Q: Use Gauss' Divergent Theorem to calculate F. dS, where F = (2x + sen (e+1)) i+ 3yj+ cos(z?)k and S i...

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Q: 3. Find the derivative of the following functions: a. f(x) = (x² + 1)(x³ – 2x² – 1) f(x) = b. 2 + si...

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Q: Using the "add drawing" tool, sketch the graph of the following, showing any points where the graph ...

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Q: se the ALEKS calculator to evaluate each expression. Round your answers to the nearest thousandth. D...

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Q: 1. Consider the function f(x) whose graph is given below. If a discontiuity is Emumerate all discont...

A: Discontinuity

Q: (d) VT tanr - 2 V lim /4 VT x(4x – 7) Hint: divide both parts of the fraction by VT x and represent ...

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Q: sin(In x) In(sin x)" Use Squeeze Theorem to evaluate lim

A: limx→ 0+sinlnxlnsinx