What is the value of z (x + y) when x : 6, y = 8 and z O 7

Q: What is the degree of f (r, y) = (r + y³)' %3D

A: Given query is to find the degree of function f(x,y).

Q: 3. Evaluate || (3y+ 2x“) dA, where R = {(x, y) E R² : |x|+|y| < 1}. R.

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Q: how that y y= re) xrem) aum coheore D 's the domain x20, and

A: Putting xa=X and ya= Y the given equation will be changed into ∫D∫aXl-1aYm-1a2dXdY   where D is the…

Q: 2. Given y 25e-2x2 verify that y' + 4xy = 0 Your answer

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Q: What is XY? Y 45° 45° Z.

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Q: 3.2 find fxxy: flxiy) Bx*t 2€y?+ qxy!

A: when differentiate with x then y should be constant and when differentiate with y then x should be…

Q: d. y= xsin.r [0, 2r]

A: the given curve is  y=xsinx,   0, 2π

Q: , h(t) = -4t² + 10t + 18, w %3D

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Q: 4. (D² – D – 6)y = 0; when x = 0, y = 3, y' = -1 %3D

A: Use this auxiliary equation and complementary function

Q: Find ƒx (x, y)  and ƒy( x, y) .

A: fx(x,y) is the rate of change in f(x,y) in x-direction. We can find the same by finding the…

Q: O A y = -s – 1)? y = -412 + 1 y=D -쇼z2 + 1 O D. y Oc. |

A: Here we have to find the equation of parabola.

Q: of (x, y) = a? + 4y

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Q: Find x²dA where R R = } {(x, y) | 4x² + 16y? < 64

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Q: f(x, y) = 3x – 2y x² + 2 + 2y? = 275

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Q: Fin (x ¯+y¯) 2 x+y?

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Q: V16-x² B Evaluate S. Sezy2) (x²+y²) /16 –r²drdzde -

A: Given integral is, I=∫04∫016-x2∫x2+y24416-r2drdzdθ Now, integrating the given integral,…

Q: alla Find xy² R2² -dA, R= [0, 4] × [ - 2,2] x² +1

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Q: When x = 2 , y = 4 , and z = 3 , what is the value of 2x^3 - 3y^2 + 6z

A: SOLUTION-

Q: If x + y +z = 12 & x² + y² + z? = 96 & != 36 then value -+-+ X y of x³ + y3 + z³ is

A: Introduction :

Q: o the emergency room of a small hospital is 2 it, on any giv wły admitted patients?

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Q: 2b). Let y* + 5x2y² + yx = 624. A) Find y'

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Q: b.y" — у %3D 3t + 5, when y(0) 3D 0, у' (0) — 0

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Q: Evaluate the expression using x = 3, y = 4 and z = 1.

A: We have to evaluate the expression using x=3, y=4 and z=1: x3+14y+2z4 Putting given values of…

Q: Haw it Veszy, 22,4x+77 ?,X? y?, ye> find (curt w)-v at (4,0,2) W=<3Z

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Q: 82z 82z + 8x2 82z If z = x + y lnxy, show that x- = y², y2. 8y2 ID 8x8y

A: Given, z=x+ylnxy We need to show that,    xδ2zδx2+δ2zδxδy=y2δ2zδy2

Q: r+ 2y = 4 3r + 8y %3D I =?

A: Simultaneous equations are two or more equations which involves two or more quantities that are…

Q: Evaluate 40y dS where S is the portion of y = 3x +3z2 that lies behind y = 6. S

A: Draw the surface S.

Q: (ii) 4.xÿ + 4ÿ + y = 0, Va = z.

A: Please check step 2 for the solution.

Q: w Dy ),-0 7 By b. Əw əz C. aw əz

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Q: Determine Proy,b si ā = 3i– 4j+2k y b = -2i+3j-k

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Q: 1ess of q(x) = xỉ + 2V6x,x2 + 2x?

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Q: Jk, when = & Case y: 2 Sing

A: Solution 1:

Q: Q2 Find Domiain and Rang メー2 2. y = 3-X

A: Given y = x - 23 - x

Q: Evaluate ∫ ∫σ x^2 + y^2dS, where σ is the portion of z =√3(x2 + y^2) for 0 ≤ z ≤ 3. Exact answer is…

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Q: What is the value of +3x-2z if x = 3, y=5, and z=4?| 3y 82 OC 18 OD 32

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Q: 38. F = (8xy + 3) + 4(x² + y) 5

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Q: Q3/ Evaluate grad d, If In(x+y+2).

A: GIVEN: ϕ = ln x2 + y2 + z2

Q: What is the value of - x3 + 3.4y when x = 2 and y = 5? %3D 2 18 O 20 О 21 37

A: We find the value of 12x3+3.4ywhen x=2 and y=5

Q: 3y 4y + 8 37. y²-y-6 9y2

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Q: Verify that * / II 21 ?х ду 224 ду ох - for f(x, y) = 4x4y3 - 6xy5.

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Q: Let f (x, y, z) = -13x² – y² + 5z². Calculate Vf (0, 6,7). (Write your solution using the form…

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Q: What is the value of x2 + 2y ÷ 2w +

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Q: EXAMPLE: FIND a2z a?z a2z AND дx2 дудх 7. z = 3x²y3 – 4x*y?

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Q: f (r, y) = -4y is I-2r'y

A: Given,               f(x, y)=x3-4x2yx4-2x3y

Q: Q2/ If y,= 3, yl= 12, y2= 81, y3= 2000, y4= 100 calculate A*y

A: Hello, thanks for your question but according to our policy I am answering the very first question.…

Q: Q1 / Find x, y, and z 3x [ 2х — 1 6 ] = [; ?] 2 x + 2y 2

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Q: зв. | Evaluate ф. - dz where C:z-2| = 2. (z³ – 5z² +8z –4) 3

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Q: What does the VXayL(x,y) mean if L(x,y) means x loves y?

A: Given statement is ∀x∃yLx,y. Where Lx,y means x loves y. For every x there exists y such that Lx,y…

Q: What is Af and df of * 12.8 y = if x1 = 10 and x, = 10.24 ? %3D

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