E- Use the chain rule to express dy / dx in terms of x and y: a) y=7+1 and t=2x+1 1 b) y=7+1 and x= V41 +1 %3D at t= 2 and c) y =

Q: d_(F(x*)) d dt dx dx 16

A: To find- solve the given equation.

Q: Find y = sec (5x+2)

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Q: Vx6+7 (etan**) dy where ylny) = dx B) find (x2/3)( y v) sec

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Q: 1+vx [8] Find y" of y =

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Q: Find y as a function of x if

A: The given differential equation y'''-4y''-y'+4y=0D3-4D2-D+4=0D+1D-1D-4=0D=-1, 1, 4

Q: Given that dx = m. a) Find [g(x) – 8] - 8] dx. [Select ] b) Find 3g(x - - 3) dx. [Select] | g(x) da…

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Q: Give the relation ln(y)+y=x2 find dy/dx

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Q: Determine C when x=y=0 (xy + x)dæ = (x²y + æ² + y³ + 1)dy

A: Given that xy+xdx=x2y2+y2+x2+1dySolution…

Q: Let f(x) = 3x+ 4x. Evaluate dy when x=2 and dx=0.1

A: Given that fx=3x2+4x To evaluate dy when x = 2 and dx = 0.1.

Q: The Bernoulli's Equation dy/dx - y[1/(2x)] - y^5 = O can be transformed in which of the following…

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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: what is the dependent variable and linearity of the DE: d(xy)/dx + xy=0?

A: We will find out the required values.

Q: In question (c), please use the computed result to explain why Dx=c is inconsistent

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Q: Find dy/dx for e 2x + y 2 = sec(2x) in terms of x and y using implicit differentiation

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Q: Find dy/dx

A: Step 1: Step 2: Step 3: Step 4:

Q: Use dy/dx = -Fx/Fy to find dy/dx. 7tan-1(x2y) = x + xy2

A: The given equation Let

Q: Find the dy/dx y=2log(9x+16)

A: ddxlog x = 1x

Q: d'y as a function of t if x t+ (a + B) (a+ B) (a) Find , y=t- t (6) t

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Q: find dy/dx if x=(t2-2t+1)e3t and y=(t2+4t+4)e3t

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Q: Let f' (t) dt = 9 and f (2) = 3. Find f (6).

A:

Q: = -secu a

A: Given : y=f(u)=-secu and u =g(x)=x2+7xwe have to find d2ydx2

Q: Find f, (9,0) if f(x,y) = 4x eY. fy(9,0) = (Simplify your answer.) %3D

A: We can find the required answer as below

Q: Find the rate of change of the distance D between the origin and a moving point on the graph ofy…

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Q: (m) y = f (n) y = f x +3 V1-x² dx x² + 10x + 30 2 -dx.

A: Solve the following

Q: B. Using Change of Variables and Generalized Power Formula, integrate the following: 1. fx (x2 –…

A: Since we have multiple numbers of question and our guideline is solve first question and kindly…

Q: 2dy+ydx=y3(x-1)dx (Bernoulli)

A: We have to find the general solution of differential equations

Q: x/1-y2 B, dx %3D 1+x²

A: dydx=x1-y21+x2

Q: 4 y = x + + Vx

A: