äbäi 14 Q) Use the chain rule to express dy / dx in terms of x :and y for the following y = 1- t 1 and t at x = 2 1-x dy/dx= 3 dy/dx = 2 dy/dx = 1

Q: Suppose dy/dx = x- y and y = 2 when x = 1. Use Euler's Method with increments of Ax = -0.1 to %3D…

A:

Q: dx dy at z = - 5 if y = 3x-3 and dt Find -1. dt dx dt

A:

Q: Find the implicit deriviate (dy/dx) of (2x+3y)1/3=x2

A:

Q: Use Version 1 of the Chain Rule to Calculate dy/dx

A: To calculate the derivative of the given function using chain rule: y=3x2+7x10

Q: Use the chain rule to express dy /dx in terms of x and y y = sin t and t = cos x where t = 0

A:

Q: dz Use an appropriate form of the chain rule to find dt z = 7 cos x – sin xy; 1 y = 3t t' Enter the…

A:

Q: dz Use an appropriate form of the chain rule to find dt 1 z = 2 cos x – sin xy; x = y = 8t t' Enter…

A:

Q: dx ylnx- dy y + 1₂ X 2

A: given :ylnxdxdy=y+1x2

Q: 03: Use chain rule to find dy/dx for the following 1. y = -sec u, u = x² + 7x

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: use the chain rule to find: 28) dv 2- COSxy + y cos x

A: Solution:Given   z= cos xy+ y cos xx=u2+v and y=u-v2To find :dzdvFormula:ddx(cos x)=-sin…

Q: dz Use an appropriate form of the chain rule to find dt 1 z = 4 cos x – sin xy; y = 7t || Enter the…

A: We have to find

Q: // sin(7x²) dx dy. Compute O y/3

A:

Q: Q5) Use the Chain Rule to express dy /dx in terms of x and y: y = csc t and x = sec-1t

A: To find: The value of dydx in terms of x and y. Given information: y=csct,x=sec-1t

Q: dw Use the Chain Rule to find where w = cos 12x sin 4y, x = - dt and y = t". 4 dw

A:

Q: Compute dy/dx using chain rule where y = (u^2+2u)/(u+1) and u = x(x + 1)

A:

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.…

A:

Q: Use the chain rule to express dy /dx in terms of x and y y = sin t and t = cos x where t=0

A:

Q: 15 dy dt 2-

A:

Q: Transforming A S B © D dx secx + 1 7 dz 1-2² 1==323d² -dz 1+z² [1+2²21 2-272 1+z² -dz -dz using…

A:

Q: (ylny-exy)dx + ( + xlny) dy = 0

A:

Q: /4 - x2 the integral | dx, becomes

A: Given the integrationI=∫4−x2x2dx

Q: dz Use an appropriate form of the chain rule to find dt 1 z = 4 cos x – sin xy; x y = 7t t' Enter…

A:

Q: 7. What is the order, degree and linearity of: (dy + 3x dx, d°x = ey dx3 8. What is the order,…

A: Note: since you posted multiple questions. As per our guidelines we are supposed to solve one…

Q: show that the differential eguation is exact, then solre that method using 2 2 dy- x²-x+y? |

A:

Q: Given: y = sqrt(u)  ,  u = 2x2 + 3x + 4 Determine dy/dx at x = -3 a) Using Leibniz Chain Rule b) By…

A:

Q: dz Use an appropriate form of the chain rule to find dt 1 z = 4 cos x – sin xy; x = y = 7t t' Enter…

A:

Q: use the chain rule to find dy/dx for the followingy=sin^2 (3x-2)

A: Firstly, we introduce two new functions u(v) and v(x) as shown on board.

Q: f [Mesin(2x) dx = e$in(2x) + C, then the M is equal to- If

A:

Q: Let y tan(4x + 3). Find the differential dy when z = 3 and dx = 0.1 Find the differential dy when r…

A: y=tan4x+3

Q: Q4) Use the chain rule to express dy /dx in terms of x and y y = sin t and t = cos x where t = 0

A:

Q: tan '(z) Find for y = In( - dy dz You do not have to completely simplify!

A: topic - derivatives

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

A:

Q: Find dy/dx at the given point 6x2-5y3=2x-5y at (0,1)

A: First differentiate the equation and then substitute the value of x as 0 and y as 1.

Q: Compute dy/dx at P=(2,1) on the curve y^2x^3 + y^3x^4 - 10x + y = 5

A:

Q: Let e 2* = 2 find dy dx at x = 1

A:

Q: Use chain rule to find dy/dx for y=u^4/3 , u=x^2+8x+30

A:

Q: dz Use an appropriate form of the chain rule to find dt 1 z = 8 cos a – sin xy; x = - y = 4t t'…

A: This question is based on Derivative of Function.

Q: 3 2 Find for y = dt, where x> 9t+2 dx dx

A: The given function is y=∫0x39t+2dt. Let u=9t+2. Then, du=9 dt. The upper limit will be 9x+2 and the…

Q: A ) Find ſ cos 5t dt dy B) If y = x² +; , x= 2t -5 then find dt

A:

Q: d?x 2 dt2 dx - 5- dt 3x = -9t2 – 1 - %3| - - dx When t = 0, x = 1, = 0, find x when t = 2 %3D - dy

A: The given differential equation is 2d2xdt2-5dxdt-3x=-9t2-1                   (1) to find x(2) with…

Q: Show X -メ+1 =ソ- Can be reduce d to homegenons equation 2X +y-! メ+ 2y t1 dy dx

A:

Q: Find dy/dx for 3sin(x+y) - 2e^y =6x^3 by using implicit differentation

A:

Q: 3. Find a result by using homogenous for (x³ - 3x²y)dx- (x³ - y³)dy = 0 For Figure 1.

A: We have to find out solutions of differential equations

Q: dz Use an appropriate form of the chain rule to find dt 1 z = 6 cos x – sin xy; Y = 8t %3D t' Enter…

A:

Q: Use the chain rule to find dy/dx for th following (a) y= (3x^2 - 13)^3

A:

Q: 5. Find dt ,y = cos(sin(t – 4))

A: Given function is: y=cossint-4 Derivation of the above function with respect to t. dydt=ddtcossint-4

Q: dz Use an appropriate form of the chain rule to find dt 1 z = 8 cos x – sin xy; x = y = 2t t' Enter…

A:

Q: 3. Find dy, where; (x+y) = 2 a) cos (xy)- + e b) e+ iPtany=1 , u= xlax (use chain rule)

A:

Q: dz Use an appropriate form of the chain rule to find dt 1 z = 5 cos x – sin xy; y = 4t t' X = Enter…

A:

Q: Evaluate 2.xyz dx + x²zdy +x²ydz over the path r(t) = (t², sin(nt/4), e'“-2') for 0 <t<2.

A: The given integral is: I=∫C 2xyz dx+x2z dy+x2y dzOver the path:  r(t)=t2,  sinπt4,  et2-2t    for…