Use Lagrange multipliers to find the maximum and minimum values of the function subject to the given constraint: f(x, y) = x² + y²; xy = 1.

Q: 9. What is the solution of (x? + 2xy – 4y² )dx – (x² – 8xy – 4y² )dy =0 ? a. x? - 4y? = c(x-y) b. x?...

A: This is homogeneous differential equation. For solving this we will assume,  Y/X = V dy/dx = v - xdv...

Q: By using the method of undetermined coefficients, find the complementary function (y.) and particula...

A: Roots are imaginary then complementary function is e-2x (Acos(√5) +Bsin(√5))  And y(x) =complementar...

Q: -de 2. S e-x+e*

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Q: Identify and draw a sketch of the surface having the equation z = 3x^2.       parabola       parabol...

A: Find your answer below 

Q: 14. For the function f (x) = 10 - 5x find the average rate of change from x = a to x = a + h %3D

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Q: Consider the following sequence: +00 3" {a, } = An+1 -to show that the given sequence {a, } is stric...

A: NOTE: Refresh your page if you can't see any equations. . the given sequence is  now substitute n+...

Q: Use Lagrange multipliers to find the point (a,b) on the graph of y = e^(5x) where the value ab is as...

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Q: Find the local maximum and minimum values and saddle point(s) of the function. If you have three-dim...

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Q: 2 sin (t) cos (t)d J

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Q: What you see below is an image of a solid with an equilateral base. The distance of a side from the ...

A: The formula used: -  1.perimeter of polygon=number of sides ×length of side 2.Area of polygon=12× Ap...

Q: ²-5x 6 44. f(x)

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Q: (sinh(x)(x² + 7°)] 1. dx d In(x² – 4x + 13) + sin(zx) dx et d? sin? dx2 (sr + v=)|

A: a. ddxsinhxx2+7x=coshxx2+7x+2x+7xlog7sinhx      duv=uv'+vu'b.ddxlnx2-4x+13+sinπxex=1x2-4x+13×2x-4+πc...

Q: Evaluate the integral. Da

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Q: c In Problems 53-74, summarize the pertinent information obtainea by applying the graphing strategy ...

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Q: 13. 13. 5 68.5 -5 5 T68.5 -5 18 5 T68.5 -5 18 35 ー35 So, 6.85 : 5 = 13.7

A: Given :-       To find:- 6.85÷0.5 

Q: Let g(x, y) = cos(x + 2y). (a) Evaluate g(4, −2).   g(4, −2) = (b) Find the domain of g. −2 ...

A: Let's find. 

Q: (1+ 3x X 1

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Q: Evaluate the integral. Show all your work. S sec? xdx

A: The given integral is solved below in detail.

Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence converges...

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Q: . In the linear differential equation of the form, P. (x)y(n) +Pp-1 (x)yln-) +...+P-1 (x)y' +P, (x)y...

A: Topic:- differential Equations  

Q: Direction: Evaluate the following indeterminate function. Once simplified draw the graph and checked...

A: Here is the solution of the given problem.  Limit evaluation at a given points x=16  Verification by...

Q: 10 8 4 6. 2. 2.

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Q: Solve the given differential equation. All solutions should be found. dy = el* + 9y dx 7x NOTE: Use ...

A: See this solution below

Q: 11. The value of k so that (y +kxy –- 2x)dx + (3xy? + 20x°y³ )dy = 0is an exact equation is: C. -5 d...

A: Note: Since you have asked multiple question, we will solve the first question for you. If you want ...

Q: using the substitution u = cos(x). cos (x) sin(x) dx = +C

A: Topic:- integration

Q: 5. " cos (w) sin* (;w) dw -2n

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question fo...

Q: 4 if x = -3 1. h(x) = }x²+2x-3 x = -3 if x # -3' x+3 2. f(x) = |x² – 4], x = 2

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Q: х3+ 4x2-9х-36 3. У 3 4x2+28х+48

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Q: 3. Use double integral to find the volume of the cylinder-like object that exists above the first qu...

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Q: 12 | In xdx 5 a) Find the smallest K such that | f4) (x)| < K for 5 <x< 12. b) Use the part (a) answ...

A: Let's find. 

Q: Assume that a factory can produce a quantity 2x3 + x°y + y4 of goods, when x is skilled workers, and...

A: Here we use the concept of implicit differentiation.

Q: d. tanY

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Q: Find the equation of the plane through the point (2, –1, –5) and containing the line | x = 3 – 2t, y...

A: We have to find the equation of the plane, passing through the point (2,-1,-5) and containing the li...

Q: Solve the given initial value problem. 6x³y + y? 2x6 + 3xy' dy y(2) = - 3 dx O xy - y = 261 x®y² – x...

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. ...

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Q: d) h(t) = sin ( arc(cos t))

A: The given problem is solved below in detail. Given h(t)=sin(arc(cost))

Q: Eliminate the arbitrary constants c, and c, from y = c, +C,e*

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Q: Find the limit. (If the limit is infinite, enter 'oo' or '-co', as appropriate. If the limit does no...

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Q: Write the first five terms of the sequence: {Vn² + 10n Determine whether the sequence converges, and...

A: Given problem:-

Q: inlメ- Vx?+* ) X→ め

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Q: Given the functions below, find A. (A + B + C +D +E+ F) B. (P + Q +R + M + N) (x² +1)(x+1) y = (2x +...

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

Q: Let the function f be defined by tan(x) – 1 f(x) = sec(x) (a) Use the Quotient Rule to differentiate...

A: I have stated the used formulas in the solution.

Q: Determine whether the series converges, and if so find its sum. Enter the exact answer as an imprope...

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Q: The horizontal vector A has magnitude A = 2.2 and its direction is 0 = 35° east of north*. (For your...

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Q: 1. Find dy/dx using chain rule and or implicit differentiation. a) In(xy) + 5x =30 b) (sinax + coszy...

A: As per bartleby guidelines we only give first three question answers. 

Q: Given f(x)= x-x^2 and g(x) = 4x-2 Simplify g(g(x)) - x

A: Given query is to find indicated function.

Q: f(a + h) – f(a) a. Use the definition młan = lim to find the slope of the line tangent to the graph ...

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Q: az or and as dz az Using the given information, determine dt 3. at az = 2 ax az dx dy =1, ду (a) 4 %...

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Q: 12. For what function M(x,y) will the differential equation M(x,y)+(x² +x)dy = 0 be exact? а. 2ху- у...

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Q: Use the difference an+1 – an to show that the sequence {n – 5"} is strictly increasing or strictly d...

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