If f(x, y) = xe³y + 4xy, then is given by: dydx 3xe3y + 4 3e3y + 4 xe3y + 4 3 e3y + 4 3

Q: y= e fonksiyonunun d'y dy 11 + 27y = 27e dr 11z dr?

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Q: Differentiate with respect to x: 3x4 x³y + 4y³ = 6 Select one: the following implicit equation for…

A: implicit derivative of y(x) for 3x4-x3y+4y3=6

Q: Solve the following DE: (1+ y² + xy²) dx + (x²y + y + 2xy) dy=0 O 2x+y²(1+x)² = C O 2y² + x²(1+x)²=c…

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Q: f(r, y) : = V3x? + 4y? fz(3, – 2) =|

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Q: rx dydx Vx2+y2 0.

A: We solve this double integration problem by substitution method as given below in solution

Q: (x-2)² + (y+1)² =16, find- A. 16 (y+1)³ d²y dx² B. 16 (y +1)³ C. 16 y³ D. 16(x-2)² (y+1)³

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Q: If fe F- di = Scl-5x + 4y) da + (a*y) dy, what is F? F =

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Q: If f(x,y)=x³y +7xky2, find fx(1, -2) where k = 3

A: Given query is to find indicated partial derivative.

Q: Answer 6. Solve (2y² +2y+4x²)dx+(2xy+x)dy=0 6. C=x°y* +x*y+x

A: Given differential equation  2y2+2y+4x2dx+2xy+xdy=0.....1 Compare equation (1) with Mdx+Ndy=0, we…

Q: f(x y, z) = x2 - 8y5 + z -4. Find (-3, 1, 5) for O a 1 O b -4 10 O d -5

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Q: f(x, y) = 8x3 6x2y3 + 7y4 -

A: Given data:     The given function is: f(x,y)=8x3-6x2y3+7y4.   The expression for the partial…

Q: 3) + 2x³y = y³x3 dau

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Q: (D2-3D + 2)y=e5x, Find Y = Yc+ Yp O a. 1 *C₁² + €₂²¹ +2³² 12 O b. ³² C₂₁ ²² +₁₂=²+ = 12e-² -5x 12 O…

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Q: 12 Integrate: ,V4 - z² + dr

A: The given function is 4-x2+x7+24-x2 We have to integrate this function over the interval -2, 2

Q: If f(r, y) = 3y? - 6xy + 11a, then is given by: O 12 O 6 O -5

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Q: 2. d-4 d+9 2d a²+3d-28

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Q: Given f(x, y) = 2x³ – 3xy – y³, find fxx(x, y) = fay(x, y) =

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Q: 4. (D2 – 5D + 6)y = 15sinx – 15cosx -

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Q: I. Evaluate the following: a. (x³ + cos y + 5 dy = - 3yx²) dx b. xdy – ydx = (4x2 + y2)dy c. dx +…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Solve: (x+y)dy-(x - y)dx=0 A. x² - 2xy-y²= B. x² + 2xy + y² =c C. x² + y² =c D. x² - 2xy + y² =

A: The given equation is(x+y)dy-(x-y)dx=0 To solve the differential equation.

Q: Find the general solution: dy + ycotx = 3eCosx dx y = 3cscx(ecosx) - ccosx b. y = -3cscx(ecosx)+…

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Q: Which of the following functions satisfy x²dy+ y(x + y)dx=0 with y(1) = 1 ?

A: A detailed solution is given below.

Q: Given f(x, y) = x³ – 2xy + 3y². Which of the following is true? fa = -æ + 6y + 3æy²; fy = 3x² – 2y +…

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Q: // (3x + 4y)dA where Find D D = {(x, y) | x² + y² 0}

A: Given f(x,y) = 3x+4ydA =dxdyarea bounded by the region x2+y2≤4,x≥0. It is a semicircle in the left…

Q: Given f(x, y) 90x + 80y - 2 – 4y? – xy, and evaluate f(8, 5). f(8, 5) = %3D

A: Given : fx , y = 90x + 80y - 2x2 - 4y2 - xy  To fine : f8 , 5 Solution : For value of fx , y , put x…

Q: Given f(x, y) = -6x4 - 5xy² + 3y5, find fxx (x, y) = -72x2² fxy(x, y) = 10y ✓ X

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Q: = / y ²³. (X²+1) (3x+4) 5/ (2x-3)(x²-4) Find dy da

A: To find dydx:

Q: (D² - 3D + 2)y=e5x, Find Y = Yc + Yp a. 1 0² C²²² +₂²³ +2² Cet C 2 2x 5x 12 O b. O C. O d. Ce + Ce 2…

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Q: y" + 6y 2+e 1x 二

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Q: (xy ☺ Ty 5. Tyy Ty x 7) Tz ® Tzz 6. TzX

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Q: d²x is dy2 15 If x = (3 2y)5/2 , then 15 А. — A. -15(3 - 2y)1/2 В. 2 (3 2y)1/2 C. - (3 2y)1/2 D.…

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Q: (y + 4)(y² + 8y}Vy² + 8y – 1 dy

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Q: If w = 9x² - 4y, x = -6s+3t, and y = = Provide your answer below: Əw = Ət -4s + 9t, find dw Ət in…

A: Please see the below picture for detailed solution.

Q: dy If dz 3x - 3 and y(0) = 8, then y(1) %3D ---

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Q: f(x, y) = /322 + 5y²

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