Let Compute dw Əs dw Ət (−3,−4) = 12 4e¹2 +64 w = -5xy + 4yz - xz, x = st, y = est, z = ²

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

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Q: if y = 3x² – 4r³ + 3ª + VI + a, then dy/dr is:

A: Given that     y = 3x2-4x5+3x+√x+π Here we have to find dy/dx . We know that        dxn/dx = nxn-1…

Q: y? + 2xy + x³ = 3y.

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Q: Eliminate the constant: 3x 3x y=c^+c xe +c xe Oy"-6y'+9y=x y"+ 6y'+9y=0 Oy"-6y'+9y=0 Oy"-4y+3y=0

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Q: XI. 6 F dF where F = (x³ – y, x + e') and C is triangle with vertices (0,0), (3,0), (4,2).

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Q: Eliminate the constant: 3x 3x y=c₁e³x. + + c₂2 ve ³x схе 3 Oy" + 6y' +9y=0 Oy"-6y'+9y=0 Oy"-4y+3y=0…

A: It is given that,y=c1e3x+c2xe3xwe need to eliminate the constants c1 and c2

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: 3 1-x Find [, [* (x³ + y)dydx

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Q: -) Evaluate 4x2 - 10xy + 3y² for x 2 and y = -1

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Q: Eliminate the arbitrary constants y Iny = C,e "+ C, X-

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Q: find the general salution of ly-3y12)de = xdy,

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Q: TEST FOR HOMOGENEITY: 4. e √x x-2xy x - y

A: A function f(x, y) is said to be homogeneous if f(Kx, Ky) = Knf(x, y)  where n is any real number…

Q: Eliminate the Arbitrary Constant(s): 1. y = c,x2 + C2xe* 2. Iny = c, + C2x

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Q: Find the values of w, x, y, z and Dx x + y + z + w = 13 2x + 3y - w = -1 -3x + 4y + z + 2w = 10…

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Q: /| (9x + y – 2z) dS. Is Evaluate S: z = x + 0 < x< 4, 0 <y< 7

A: Given: ∫∫S9x+y-2zdSS:z=x+y2, 0≤x≤4, 0≤y≤7

Q: 1. Find y if y =x In(4x+1).

A: Use the product rule of differentiation.

Q: Consider the equation x² + y³ + zª − 8xyz = z². Find z point (1,1,1). at the

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Q: 3.Find [, L (3x² + y)dydx

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Q: Eliminate the arbitrary constants on the given equation: y= Ae" + Bre 2y +y=0 O y =-y" + 2g

A: The given equation is y=Aex+Bxex. We have to eliminate the arbitrary constants.

Q: b) By using the given substitutions, show that i. Sx(x – 3)5dx =÷(x- 3)“(2x + 1) + C, z = x - 3 14…

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Q: Calculate (2x+3y+z)dV where = [1,2] x [-1,1] × [0,1] A. 0 B. 1 C. 4 D. 7

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

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Q: 2) (Зx2у + 4eУ)dx + (x3 + 4хеУ + 2у)dy

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Q: Evaluate dxdy √√3x + 4y over the rectangle [0,3] × [0,4].

A: We find required integral by using Fubinis method.

Q: Let a, b and c be real constants. Consider the ODE ay" + by' + cy = 0. hich relationship must be…

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Q: xy? Zy if z = 3x – 2y

A: Finding the partial derivative of z with respect to y

Q: Find dydx for…

A: the given equation of the curve is: y3+y2-5y-x2+4=0 we have to find the value of dydx

Q: Find xy dydr. 4

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Q: EIMD AMP dy OF x= VI-t AMP dx

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Q: 7. Which function(s) have/has a zero at x = 2? y = 2* +2 b. y = x² +2 c. y = |x +2| d. y = Vx - 2 a.

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Q: Find // (5x + y)dA where D : {(x, y) | x² + y? 0}

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Q: Find the change of variable x = Py that transforms the quadratic form x Ax into y Dy as shown. -…

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Q: Classify each of the following equations as to order and degree: a. 3dy + (4xy - secx) dx = 0 b. L…

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Q: lx, y) = 8x² + 3x²y2- y2 , find fx (1,1). O A. 10 O B. 22 O C.11 O D. None of these O E. 1 6 If %3D

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Q: Evaluate 1 z-y zy dxdzdy y

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