6 By power series method, Solve the following ODES? (2+x)=y ans: y = a. (1 + 1/2 X)

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A: Here we have to find the local extrema.

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A: topic - critical points of a function and local extremas

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Q: √√(y - 3), 1 ≤ y ≤9

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Q: Q Given_a= b= Find i. 2a + 3b 11. a-2b 111. Jal

A: Note: as per guidelines we support only three subparts of the questions.kindly repost next questions…

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A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions. Here I…

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Q: Find the period for the graph y = 3T 3T 4 12 T 3 2 ㅠ 3 cot 3x + 품

A: We can find the answer as below.

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A: The given differential equation is:x2y''+3xy'+y=0, x>0:The given solution is y1x=x-1=1xWe need to…

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A: Given problem:- Determine if the differential equation (3x2 y + ey )dx +(x3 + xey - 2y)dy = 0 is or…

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A: In this question we have to find the volume of the region bounded by curves using washer method.

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A: We have to find p(x) and q(x).

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Q: The radioactive substance cesium-137 has a half-life of 30 years. The amount A(t) (in grams) of a…

A: Given: The radioactive substance cesium-137 has a half-life of 30 years. The amount A(t) (in grams)…

Q: Solve the following CDES by variation of parameters method y" + 5y' + 4y = x² e ²x Ans:

A: Given :y''+5y'+4y=x2e2x

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A: The given function is: g(x)=0 if  x<0x2-5x if 0≤x≤55 if x>5

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A: Given problem:- Find the volume of the solid of revolution formed by revolving the region bounded by…

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A: Since we are given with the multiple number of question and our guideline is solve first question…

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Q: 5. Determine whether 3x 4 is a factor for each polynomial. Show all your work! 3 a. 6x 6x³ - 26x²…

A: Solution is given below:

Q: 1. Explain what it intuitively means for function f(x,y) to be continuous in some domain D.

A: To explain the meaning of the given statement.

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Q: 5Q Determine if the given vectors are orthogonal, parallel or 1 i. a=, b= ii. a=, b=> iii. a=i+2j…

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Q: A 14 -13 -12 11 -10 -9 -8 -6 -5 -4 -3 -12 41 J 4 3 2 7 + -2 -3 -4- −5+ 2 3 4 3 6 The curve above is…

A: We have to find the equation of graph.

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Q: 13. Find the intersection of [x, y, z]= [-8,-3,-5] + t[1,2,-1] and [x, y, z]= [1,9,4]+s[2,1,7].

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Q: use taylors formula to find the cubic approximation to f(x,y)=sin(6x+y) near the origin

A: Given Function,fx, y = sin 6x + y

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A: Here we have to find the intersecting points.

Q: □ Solve the following ODES by Undetermined Coeff. X 22X ● "Y + 5y + 4y = x 2² ● 4X "y - 16 y = 19.2…

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Q: Find the general solution of the differential equation. y(4) + 12y" + 36y = 0. NOTE: Use C₁, C2, Cs,…

A: We Have to find general solution of given Differential Equation.

Q: (a) Evaluate the double integral Je emax{z²,y²} where R = {(x, y) |0 ≤ x ≤ 1,0 ≤ y ≤ 1} is the unit…

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Q: Find all relative extrema and saddle points of the function. Use the Second Partials Test where…

A: Given that     f(x) =  z=x2+xy+12y2-6x+y      First  ,   p = fx = 2x+y-6                  q =…

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Q: Find the particular function y given that dy dx = 7√x - 3x√x +7, when x = 1, y = 5 (Use symbolic…

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