Solve for the differential equation, show detailed solution. xy' = y e^(x/y) - x

Q: Let P = (x, y) be a point on the graph of y = VI+3 (a) Find a function d(x) for the distance from Pt...

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Q: If  h(x) =    5 + 4f(x),  where  f(4) = 5 and f '(4) = 2,  find  h'(4).

A: Solution: Consider the function h(x)=5 +4f(x) f(4) = 5 and f '(4) = 2 (Given)  

Q: 구 -8 -6 -5 -4 -3 4 6 -2 -4 -6 -7 -8- lim f(x) = Enter the limit. If the limit is o, enter oo. If the...

A: We have to find limit.  

Q: eliminate arbitrary constant, y=c^2t^2

A: This question is based on differentiating equation to eliminate arbitrary constant c.

Q: d the exact value of each part labeled with a variable in the figure. =b fy your answers, including ...

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Q: A hole is drilled through the center of a sphere x² + y² + z² = R,², leaving a ring-shape solid. If ...

A: A per your request , (b) The equation of sphere is given as , x2+y2+z2=Rs2 and Radius of drill=Rd f...

Q: A hole is drilled through the center of a sphere x² + y² + z² = R,², leaving a ring-shape solid. If ...

A: The radius of the sphere is 'Rs' and radius of cylindrical driller is 'Rd'. When the cylindrical por...

Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

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Q: (-1)"n For positive integer n, let an = 3" Determine whether the sequence {a,} is convergent.

A: Determine whether the sequence is convergent ?

Q: y= h(x) 2+ 1+ + -1 -2 1 2 -1 Identify all of the values of c for which h(c) is a local maximum of h....

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Q: 40. 1 1+ 1/n n = 1 n

A: According to our policies we are allowed to solve one question at a time so kindly repost the other ...

Q: (b) Explain why the integral e- *x* dx is convergent.

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Q: An object moves on a horizontal coordinate line. Its directed distance s from the origin at the end ...

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Q: x-y Differentiate- — х+ 2. y+x2 1-у-3x2-4х 3y2+x+2 1-х+3у?-4х Зу2+x+2 a. y' b. y' =

A: Given query is to find derivative of the expression.

Q: 3 1-x²-y² e-3(x²+y²+z²)² dz dydx 1-х2 a) Evaluate e-3(x²+y²+z?)² dz dydx

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Q: There are ​$320 available to fence in a rectangular garden. The fencing for the side of the garden f...

A: We need to find x and y.

Q: an² y dx = sec²x dy

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Q: Part 1 of 2 A minute hand on a clock is 4 inches long. Determine how far the tip of the minute hand ...

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Q: dy/dx% 3 sec 2xsec3y

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Q: Solve using method of undetermined coefficients. (D2 - 2D + 2) y = 24exsin3x

A: Let's find. 

Q: Evaluate the integral: /V13 – 49a*dæ

A: Integration

Q: DIFFERENTIAL EQUATIONS Solve the following problems showing every detail of your solution.

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Q: Find all intersections of the curve y = 10 - x and y = x + 8.

A: To find intersection point of the curves.

Q: 4. Evaluate a double integral by converting from rectangular coordinates. (r + y) dA where , R = {(x...

A: Given

Q: 11. A horse breeder plans to construct a corral next to a horse barn that is 50 feet long, using all...

A: Given :- A horse breeder plans to construct a corral next to a horse barn that is 50 feet long, usin...

Q: 2. A hemisphere of radus 12 nches and base up is full of water that runs out through an orifice of a...

A: Dimensions of a hemisphere tank are: Radius R=12 inches or 0.3048 mHeight of tank H1=Radius of tank ...

Q: Solve the differential equation: (y- sqrt (x²+ y2) )dx= xdy when x= sqrt 3, y=1 Please also state ...

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Q: (-1)"n For positive integer n, let an = 3n (a) Determine whether the sequence {an} is convergent. 00...

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Q: floor refinishing company charges $1.87 per square foot to strip and refinish a tile floor for up to...

A: (a) To find: The equation for the amount C they will charge to refinish a floor when x≤210 Given inf...

Q: Factor the difference an+1 – an to show that the given sequence {an} is strictly increasing or stric...

A: The given sequence is: an=n12n+2

Q: 8 6. Let A -4 -2 Find two different diagonal matrices D and the corresponding matrix S such that A S...

A: Given:    2x2 Matrix is given

Q: Given the function g(t) = (t-4)(t+3)(t-1) What is It’s g - intercept is: What is It’s t- intercept i...

A: The objective is to find g - intercept and it’s t- intercept .

Q: and stra ight and x : 8 Let R be an area enclosed by a curve. : 1 Using the cylindrical shell method...

A: Given problem:- Let R be an area enclosed by a curve. X =4√y and straight line y=1and x = 8 Using th...

Q: find the diff eq. of the family of curves described. draw atleast 3 members of the family. all circl...

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Q: 22. State True or False. Let f(x)=sin'(x) + log(x) then domain of f(x) is (-*, ). a) True b) False

A: To check whether the statement is true or not. The statement is Let f(x)=sin2x+logx then domain of f...

Q: lim g(x) =, lim g(x) ; lim g(x) 1. -1- 34 2. g(-1) = 2- 3. lim g(x) = lim g(x) = ;lim g(x) = x0- 1. ...

A: Topic = Limits

Q: 48. Let f be a function defined on ]0, 1[ by : 0, if x is irrațional f (x) = {1/q, if x=p/q; where p...

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Q: (b) If u =x cosy+ ye», where x=s+2 and y= st, prove that 2- ds du - (s - 21) (* siny-xye -e").

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Q: How many saddle points does the function f(x, y) 116 – 18r 66y + 9x + 11y? have? Answer: (Input 0 if...

A: Given problem:- How many saddle points does the function f(x, y) =116 - 18x - 66y + 9x2 + 11y2 have?...

Q: . Suppose that your best friend has calculated the partial derivatives of a given function f(x,y) an...

A: Please see the below picture for detailed solution for detailed solution. 

Q: 3. ( 3x²y + e' )dx + ( x³ + xe' - 2y)dy=0

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Q: Solve the differential equations. dy = (y²xe** – 3x²y)dx

A: Given:- dy=(y2 xex3 -3x2y)dx  To find:- General solution for given differential equation

Q: A recipe calls for 4 of a cup of flour to make one batch of doughnuts. If Cecilia wants to make 9 ba...

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Q: Let f(x, y) = (x² +(3))°. Determine the directio %3D 4)

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Q: A helicopter is heading N 33° E (i.e. direction angle of 57°) with an airspeed of 17 mph, and the wi...

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Q: Use the technique of completing the square to evaluate the following integrals. 163. 1. .2 + 10x

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Q: 9-36 Evaluate the integral. So 36 - 9. x'V16 + x?;dx 10. dx V9 6, Vx² 1 dx 13 - dx 36 - х2 11. 12. d...

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Q: (D²+1) y 4 see X . ニ

A: 1. We know, ∫secnxdx=n-2n-1∫secn-2xdx+secn-2xtanxn-1   Given differential equation, D2+1y=sec4x........

Q: y(2x³ -x²y + y³)dx – x(2x³ + y3 )dy = 0

A: y2x3-x2y+y3dx-x2x3+y3dy=0

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

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