6. Assume x and y are functions of t. Evaluate dy for 2xy-3x+3y=-45, with the conditions dt dx dt =-12, x=3, y=-2

Q: Which of the following is the derivative of y +3x ? Select one: dy a. da 3x 3 dy b. dz = 3x? dy C.…

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Q: Use the product rule to help you find dy/dx for each of the following functions: 13. y = (x²)(2x -…

A:

Q: Find d implicitly 3y³ − 7x³ + 2x = 0 dy dx dy 21x²-2 da y² y = dy dx dy dx = 21x²-2 9y² 9x² - 21x² +…

A:

Q: Find dy/dx by implicit differentiation. y3+ 12xy + 4x3 - 2x = 0 2- 12y - 12x2 3y2 - 12x 2- 12y -…

A:

Q: Determine using implicit differentiation. dy dx 4x³ +2y³ = 3y 2x³y² + 5y³ = 4x-1 2x 3x + y =y Note:…

A: 1st...4x3+2y5=3y2nd....2x3y2+5y3=4x-13rd....2x3x+y=y

Q: 6) Find dy 1+eX for y= dx 1-ex

A:

Q: Find the differential dy of the function y=-2²-3x - 2. Select one: O a. (-x-3)dx. O b. (-2x - 3)dx O…

A: dxndx=nxn-1d(constant)dx=0

Q: Find dy if y=33 dx 09x² 3x² 3 3x² 9 음

A: Solution-

Q: dy Find the derivatives dx of the following functions csin x Vt2 + 1 dt 2

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Q: . Find P.S. of (16x +5y) dx + (3x+y) dy = 0 of the curre to pass thru the point (1,-3) 2. Find P.S.…

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Q: dy using implicit differentiation dx 1. Find а. Зху + 4x2 + 5y? %3D 5 b. y + 2x³y* + 2y² = 3x = 3y2…

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Q: d x° In x C. dx d [x3 d In x+ 3 [In x] -. 3 dx 3 dx

A: Given:

Q: Find dy dx dy if y dx = x³ + 8x + 6 x² - 5

A: Given: y=x3+8x+6x2-5

Q: Find dy if y=t² & t = √h and h = x² dx

A: Given :y=t2t=hh=x2

Q: Compute the values of dy and Ay for the function y = e3x + 3x given x = 0 and Ax dx = 0.02. Round…

A: Please find attachment

Q: Evaluate the to -y dxd

A: Given that, the integral is ∫01∫01-y2x2+y2dxdy. Obtain the value of ∫01-y2x2+y2dx.…

Q: Find dy dx dy if y = dx x³ + 9x + 5 x² - 7

A: y=x3+9x+5x2-7

Q: dy Q. 8 Find 2 -: if Y dx 6x4+1 -48x3 (6x4+1)² .4 -48x (6x4+1)? -84x3 (6x4+1)? None

A: Given that  y=26x4+1

Q: Find y as a function of t if 25y"- 70y' + 53y = 0, and y(5) = 8, y'(5) = 1. %3D y = %3D

A: Given: 25y''-70y'+53y=0  with the IVP y(5)=8 ,    and   y'(5)=1By…

Q: Find all second order derivatives for z = 7ye4x. Zxx 0 Zyy = 3xy=2x =

A: The function is given by z = 7ye4x To determine: The expressions of zxx, zyy, zxy and  zyx.

Q: For the function y = 10 e¤ the second order derivative dy is dx? -3 10e + 4x -3 O 10e – 4x 1 10e +…

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

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Q: 2. -4 let u= dx=

A: Indefinite Integration using substitution

Q: dy Q5: - Find for the following functions: dx 1) y = 3x? – 2Vx+ 2) y = (x – 3)(1 – x) 3) y =-t +

A: In the following steps we can find out the derivative of the function with respect to x

Q: Find all second order derivatives for z = 7ye5x Zxx Zyy = Zxy=Zyx = |

A:

Q: Find dy dx dy dx if y = = x³ + 4x + 7 x² + 1

A: