For Vx - 3 evaluate y when y = 4. O 4 O 4 O-2 O 2

Q: c) Find i. y' for x4 + y = 17 If x = 3 and y = 3, calculate y'

A: Here is the solution of above problem.

Q: O Find reve y (z 3hax

A: To determine: (1)    ∂2y∂x∂z ,  for   y = z14-3 ln ax2-2 ,  a is a constant. (2)  ∫01∫01∫01z3y3x2 dx…

Q: If f(x, y) = 5y² – 7xy+ 14x, then is given by: - dy? O -4 O 17 O 10 O -10

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Q: f(x, y) = x4 + 13x³y³ - 5xy4 + 14

A: Given: fx, y=x4+13x3y3-5xy4+14To Find: To determine ∂f∂x and ∂f∂y.

Q: Given f(x, y) = æ® + 6xy³ – 2y², find fzz (x, y) = fzy (x, y)

A: To find fxx(x,y), take the partial derivative of f(x,y) with respect to x then again take the…

Q: (x + y)ds, C : ¤ = 2t, y = – 2t + 3, for – 3 <t<0. Preview

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Q: For Va. Vy evaluate y' when y = 4.

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Q: Eliminate c from the equatia cxy + c²x + 4 = 0. O x* (y')? + x?yy + 4 = 0

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Q: Given f(x, y) = 12/8x* + 6y + 2xy°, find fa(x, y) = f,(x, y) =

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Q: If z = f(x,y) = x² + 3xy – y² If x changes from 2 to 2.05 and y changes from 3 to 2.96. Find the…

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Q: For Vx 3 evaluate y when y = 4. 2

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Q: y" + 2ty' = e* y (0) = 1, Y (0) = -1, with h = 0.5

A: (i)   Modified Euler's method :                                     y' = y'' + 2ty' = et  y(1) =…

Q: (A) Evaluate f (4r - 5) (4/E+4r) dr. dy (B) Find if y =| + 3x - when z = 1 %3D da 6.

A: Evaluate the integral and find the derivative of y at x=1

Q: For the (D^3+D^2+4D+4)y=0 when x=0, y'=-1, y''5. Find y when x=pi

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Q: Es, given that x(0) = -1, and y(0) = 0 *+x+2y-1=0 2x+y+y-2=0

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Q: Q1/ If z = f(x, y) and z* - y? = 6x²y°z7 Find: and dz

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Q: Evaluate the following. (Give an exact answer.) (x, y, 2) dS x² + y² + :2 f(x,y,z) : %3D x² + y? S:…

A: The value of the given integral is 64/9

Q: y' + E) y = xy? 2

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Q: Find &, for f(a, y) = xy? – 4.ry² +x*. 3

A: This question is related to partial derivatives.

Q: H.W: Find the domoin of y = X+3 4-[xt-q

A: Explanation of the solution is given below...

Q: Evaluate for: x = -2, y = 4, and z = 16 * J16 - (y +x)? |-2| 6. -14 O 2 18

A: To solve the given expression with  x =- 2, y = 4 And z = 16

Q: For the DE y = xy², y(0) = - 1. Then, y(2) = Blank 1

A: The differential equation y'=xy2, y(0)=-1

Q: 1. xdy + ( 4y y when x = 1, y = 1

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Q: Given: 3zxy Find fx O xy/3 O y/3 O x/3 None of the choices

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Q: - Determine the value of y when x = 0-1 given that y(0) = 1 and y =?

A: Given that: y(0)=1 and y'=x2+y

Q: -6 Let y = ( 5x + . Then dy - A(5x + )" (5 -)". = A 5x + where %3D B = C = D =

A: To find the derivative of y with respect to x

Q: Q3) If f(x, y²) = x² + y? + Vxy find : af (x?y) and L(x?y) ду ax

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Q: 1. If y varies indirectly as z, and y = 3 when a = 4, what is y when z = 6? y = 2 y = 1 y = 4 y = 3

A: The solution is given below :

Q: Evaluate: y6 sech(e™ny) tanh (e 7Iny)dy (A sech (y") + C -sech2(y7) + C 7 В -uch(7") + C (y?) +C D…

A: Given: I=∫y6seche7lnytanhe7lnydy   As we know from the logarithmic rule: (1). logaxb=b·logax, x≥0…

Q: Given f(x, y) = 4x³y², evaluate f(1,y) and fy(x,2).

A: We are given a function: f(x,y) = 4 x3y2 We need to find the partial derivative of the given…

Q: Q6) Find y' for the following: 1. += 1 y 2 2. хз — уз — у %3D1 - уз — у %3D 1

A: 1. Write the equation in terms of y.

Q: or the DE y' = xy2, y(0) = -1. Then, y(2)=

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Q: Compute for the following equation: ax x2 + y? + z? = 3xyz

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Q: C6. You h drinki a. Ac sam as t Con b. You seve coni the of a

A: a. As the sample size is really high, we can assume the z distribution. The value of z at 95%…

Q: Let * = 3.54, and y 3.31. Determine the value of C when you evaluate %3D 5+x xp-

A: Given ,y=∫x5+xdxSubstitute…

Q: %3D Given: 40 elx [y"-y'] = (x+1)(1-e'2X); determine; А) Ур В) Ус

A: Given 40eixy''-y'=x+11-ei2x

Q: If z varies jointly as x and y. If z =3 when x = 3 and y = 15, find z when x = 6 and y = 9.

A: WE are given that z varies jointly with x and y which mean  z = kxy or  k=zxy

Q: 2y 2 Given that 7* ×49' = 1 and 5x x125 3 1 calculate the value of x and of y. 25

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Q: ky + 2y, and suppose that (x, y) changes from (2, 1) to (1.98, 1.02). Az. dz.

A: x + Δx = 1.98 and y + Δy = 1.02 Rest of the stuff is quite simple and straight forward.

Q: For f(x.y) = 3x* - 4x°y+5y° - 4, find f,(1, – 2). O A. 12 О В. - 12 OC. 36 O D. 24

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Q: Evaluate the following expressions for the given values. If y = -5 and z = 0, find yz - y^2

A: yz -y^2 = (-5)(0) -(-5)^2 =0 - 25 =-25

Q: Given f(x,y) = x?y-3xy³. Evaluate | fdy 14y -27y" , c + C O -6y3 +8y/3+ C O 6x2 – 45x + C 4 O 2x² –…

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Q: For Vx - 3 evaluate y when y = 4. O 2 O 2 O 4

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Q: (VxE N)(3YEN: x +y=D0). True False

A: Given statement: For every x in the set of Natural number ℕ, there exists y∈ ℕ such that x+y=0. We…

Q: Q5: If f(x,y) = 6x , g(x, y) = x-3y find Vf,Vg,V(fg) %3D

A: As per our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: For the DE y' = xy², y(0) = - 1. Then, y(2) = Blank 1

A: topic - differential equations answer is -1/3

Q: Question 18 For V - evaluate y when y = 4. A) 2 B) -2 -4

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Q: If z f(x,y) and z - y? = 6x?y°z? Find:器,需 and dz

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Q: Given z = r2 + s2 + rst, r4 + s4 + t4 = 2r2s2t2 + 10, find (∂z/∂r)t when r = 2, s = t = 1.

A: Given, z=r2+s2+rst r4+s4+t4=2r2s2t2

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

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