If f(x, y) = 4x²y+7xy°, then the total differential of f at x = 1 and y = 1 is : %3D O df = 15 dx – 18 dy O df = 16 dx + 20 dy O df = 15 dæ + 18 dy O df = 19 dx + 21 dy

Q: 1. The graph of the tilted ellipse x2 - xy + y? = 3 is shown below. Note: The sides of the box are…

A: The points on the ellipse where the tangent are horizontal and vertical are to be found. The…

Q: find dy/dx for the function ex+y+2x-3y=e using implicit differentation.

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Q: Find dy/dx and d²y/dx2 for r = t2 +t +1 and y = t2 + 2t - 1.

A: given that x=t2+t+1 and y=t2+2t-1 we have to find dydx and d2ydx2 Now,          dydx=dydtdxdt…

Q: Compute if df = 2 and dx du dx = 6.

A: It is given that,

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Q: dy Find dt y = (4+ csc 2t) dy %3D dt

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A: Here we find out the dy/dx

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Q: cos(2y - x) = 3ysin x

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Q: dy %3D -9y = 0 with the conditions that x = 0 and dx

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Q: b.Introduce a new dependent variable v so that v = y/x, or y = xv(x). Express dy/dx in terms of x,…

A: Given that, v=yxy=vx

Q: Find dy/dx and dx/dy from 6x-x'y +4x 0

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Q: Find (dy) and (day) for the following dx functions: y = 2x-1 X+7 3

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Q: -2ex + 2e dx (ex + e-x)2 I e* + e¬x,

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Q: y is inversely proportional to Vx y = 4 when x= 9 Work out an equation connecting y and x.

A: We have to write an equation connecting y and x for the given conditions: y is inversely…

Q: 2. Find d if y= 2² +25 da

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Q: dy b. If y = V(B1e* – B2 x³ + B3 x + B4 + In(x))5 , then find the dx A1=1 A2=5 B1=4 B2=6 B3=2 B4=1

A: