Q: 6x2+7y2=C satisfies 6x+7yy' given the inital condition y=4 when x=6 what is C.
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Q: -16 1Δίνεται η συνάρτηση f)- 2x+8x i) Ποιο είναι το πεδίο ορισμού της f i) Να απλοποιήσετε τον τύπο…
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Q: x + 2y + z – t = 5 3 x +y+ 2z + 2t = 8 4x + 4y + 3z+ 4t = 22 2 1 5 *+t =, 5
A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since…
Q: The productivity of a country is given by f(x,y)=14.41x0.427y0.573, where x is the amount of…
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Q: if z=x+iy then zz= 3- y² +1 3- y² – 1 G- ² |
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Q: 2 5+4y³ Evaluate f,* S* y dz dx dy
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Q: 22) About the x-axis y = 5 x =V25 - y2 X =' + 3 4 5 х 2. 3. 2.
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Q: 7) Suppose y varies directly with x. If y=2 when x = – - what is y when 2 X--0.3?
A: Given the data :
Q: 4 + 8z is The antiderivative of the function f(x) -4 4.0z +c 4. + 4.0z2 + c 4 | 4.0z? + c 8 + 2.0r2…
A: Using anti derivatives means integration.
Q: 4. Calculate(Y/X)- – 2)* if: X = (; -) Y = (% ) z = ( ) (G Đ=z (F- )=« (4- )-
A: We will find out the required value.
Q: 4.3 Verify that for f(x, y) = 4x°y$ - 9x*y³. дх ду ду дх df
A: Explanation of the answer is as follows
Q: X + 5y + 15 z+35 w + 70t = 0 X + y + z + w +t = 1 X + 2y + 3z + 4w + 5t = 0 2x + 6y + 12z + 20w +…
A: We solve the given system of equations by using Gauss Jordan elimination method.
Q: (*+ (H)')" 0.8 f(x, y) = %3D af 1.6x(x^2+(y/9)^2Y^-0.2 af 1.6/9y(x^2+(y/9)^2)^-0.2 ду
A: Using partial derivative rules
Q: 3 11. f(x) = Vx-6Vx 12. f(t) = t3 -t3 +4 ww-
A: Basic derivative formula can be used to solve the questions. ddx(xn)=nxn-1ddx(cosx)=-sinx
Q: Find the natural domain and graph the functions in Exercises 15–20.
A: (15) Consider the provided function, fx=5-2x Find the domain of the function. The domain is the set…
Q: [d] If xz = yz and z - 0 then x = y
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Q: (ost) X= 3サ-3 DiD X-2-2y ¥ーにh で3,0) D3 Dy メーと2 サ=スメート X-4 <-リ-3 toノー4)
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Q: [5 < x < 8} 15<y<8S° f(x, y) = x² – 12x + y² – 8y on -
A: Given on . For global maxima and minima find the value of in given square region.
Q: - r)rdrde 32(V2-1) 16(VZ-1) c. VZ-1) 4(VE-1), S(V2-1) a. d. 3. 3 3 e. 3.
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Q: Resuelva yDx - 2(x+y) Dy=0 O x² + 2y = cy² Ox+2=cy² O x + 2y = cy² Ox+2y=c
A: Given differential equation y D x-2(x+y) D y=0 The objective is to solve the differential equation.
Q: [x² - y² If f(x,y)=2x-2y m if y = x if y=x then:
A: Given the function, fx,y=x4-y42x-2yif y≠xmif y=x
Q: 4. y+= y в. C. -y-4 D. y-4 с. А. 4y-2 4y-2 5. 4x2 + 4y2 = 36 A. - в. с. - D. 2 6. x2 + 3xy- y = 7…
A: solution:-implicit differentiation(4)y+x2=y2dy+dx2=2y dydx2=2y…
Q: How do I solve by elimination to find the solution of the two equations?
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Q: Find y': y=V5+2 — 2 O y = 7-2x 2√5+2x-x² Oy = √2-2x 1 Oy = 2√5+2x-x² 1-x O y = √5+2x-x2
A: We have to find derivative of given function.
Q: 11. f(x, y) = x' + 2y – xy – 7x
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Q: max z = 2x + 8y %3D s.t 3x + 9y 12 х, у > 0
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Q: Max Z = 4X1+10X2 %3D s.t. 5X1+4X2 < 200 X1+2X2 s 50 X1+X2 s 20 X1, X2 0
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Q: Зх — 4у + 23 (a) f(x, y, z) = '9 – x² – y² –. - V2t – 4 x² – y? - (b) g(x, y, t) : -
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Q: Solve using variation of parameters: (D^2+1)y = secxtanx O y = C1cosx + C2sinx + xcosx +…
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Q: 6x + 17y df f f(x,y) then i : 6x 17y ду 204x (6а — 17у)? - 204x - (бх — 17у)? 204x (6x + 17y)² 204x…
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Q: 2. Differentiate the follow a) y = e 2x -ex %3D ex
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Q: xyz 9. f(x, y, z) = x² + y2 + z2
A: Givenf(x,y,z)=xyzx2+y2+z2To find Domain of above functions
Q: Мaxіmize Z — 4х — 10у Subject to х — 4y24 2х — у s 2 x >0 y 20
A: The problem is: Maximize Z=4x-10y subject to x-4y≥4....(1)2x-y≤2....(2)x, y≥0 We will the given LPP…
Q: 6. 6. If f(x) dx = 37 and g(x) dx = %3D 16, find [3f(x) + 4g(x)] dx.
A: Given that we have to find…
Q: 6 6 If f(x) dx = 33 and g(x) dx = 14, find | [3f(x) + 4g(x)] dx.
A: We know that, for a constant k, ∫k·fxdx=k∫fxdx ⋯⋯1 We have, ∫06fxdx=33 and ∫06gxdx=14
Q: 1) f(x,y)= 2x² – 3y – 4 2) f(x, y) = (x² – 1)Xy + 2)
A: Solution :-
Q: dy 3y y torh(x) + 2
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Q: yz 4. II »z dr dy dz Jo
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Q: Find fx(x,y) and fy(x.y). Then, find fx(- 4, – 1) and fy(- 1,3). 23| f(x.y) = In |8 + 5x²y³|
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Q: 1. f(x) = v9– x 8. 5 4 y 2. f(x) = Vx+2
A: As per guidelines we have to solve one question Please repost other questions again
Q: 8 If f(x) dx = 37 and g(x) dx = 12, find %3D [2f(x) + 4g(x)] dx.
A: Given ∫08f(x)dx=37 and ∫08g(x)dx=12We have to find ∫08(2f(x)+4g(x))dx
Q: Suppose f(x, y) = xy² + x²y Find fz (3, 4)
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Q: Find all the local maxima, local minima, and saddle points of the functions in Exercises 11-20.
A: (10)Consider the provided function, fx,y=x2+2xy Find all the local maxima, local minima, and saddle…
Q: min f (x, y) %3D (х - 4)2 + (у — 4)2 subject to х+y<4 and x+ 3y <9
A: Given that x-42+y-42 subject to x+y≤4 and x+3y≤9. The objective is to find the maximum through FOC…
Q: 3 2 | z=1 y=1 -2(x + 1)y dy dz بائية
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Q: 3 18. z= 19. y= Vx(x-1) 3x-1 20. y= 2x+1
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Q: 4 Q1: If y = (x4-3x2) x5-3Vx3+Vx find y' 리x2-2
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Q: minimize F=x^2+y^2 subject to xy^2=16.
A: Let F=x2+y2 and G=xy2-16=0...(1) Let λ be the Lagrange's multiplier. Then Fx=λGx and Fy=λGy⇒2x=λy2…
Q: What is L[y] if y = u3(t) (t- 3)2? %3D L[y] = e3s . - 3 O Lly) = e3s. 2 L[y] = e-3s. 2 O Lly] = e-3s…
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Q: 7 If f(x, y) = (3x³ + 2y² – 30)', then fy is - given by :
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- Show mathematically that MRS is increasing for U=1-ex +e2y and is diminishing for U=lnX +LnYIn a certain company, the income from the sale of x thousand pieces of products is given by I (x) = 9x, while the cost of making the same x products is given by C (x) = x ^ 3-6x ^ 2 + 15x + 1. Assuming that I and C are in thousands of dollars and everything produced is sold, what is the maximum profit the producer can make? Argues using first or second derivative criteria.Jesaki Inc will sell N units of product after spending $x thousand in advertising, as given by N= 66 x−x2. Use differential approximations to estimate the increase in sales that will result by increasing the advertising budget from $10,000 to $10,589. Round to the nearest integer. $
- Q4: Find and classify all critical points for the function: z2 = (x3/3)-(y3/3)+2xy2. Give an example showing that, even if f0(c) = 0, it could happen that f(x) does not have a localmaximum or minimum at x = c. How is this consistent with Fermat’s Theorem in the book?Find the linearization of ƒ(x) = 2x at x = 0. Then round its coefficients to two decimal places.