dz Let z = 5xy- 5x y where x = 3t, y = 9(1 - ). Find by using the chain rule. Express your answer in terms of t. dt dz (Simplify your answer. Do not factor.) dt

Q: Let y = 4x². Find the change in y, Ay when æ = 4 and Aæ 0.2 Find the differential dy when a = 4 and…

A: Given: y=4x2 From the given data, x1=4 y1=4(4)2 y1=4(16)y1=64 Also given that ∆x=0.2…

Q: If z = 3x? + y? – 5y, find the differential dz. You should have variables dx, dy, y, and x in your…

A:

Q: 8. dz Let z = 4e 3 In y, wherex = Find by using the chain rule. Express your answer in terms of t.…

A:

Q: dz Use an appropriate form of the chain rule to find dt - = 2a°y°; x = t°, y = t5 Enter the answer…

A: Topic = Derivative

Q: dx Find given that dt 6x² + 7y² = 13 x = 1, y = -1, and Give your answer as a simple fraction. dx dt…

A: Let us consider an expression, ax+by=c , a,b,c are constants. Then by implicit differentiation on…

Q: Let y = = 4a?. Find the change in y, Ay when x = 2 and Ax = 0.2 3.2 Find the differential dy when x…

A:

Q: dz Use an appropriate form of the chain rule to find dt = 2.0°y³; x = t°, y = t5 = Z Enter the…

A: Here, the given functions are: z=2x9y5,x=t8,y=t5 So, z is a function of x and y and x and y are…

Q: Use the appropriate form of the chain rule to find the derivatives. w = 3x? + 3y2 + z²; x = psin o…

A:

Q: Use the appropriate form of the chain rule to find the derivatives. 3x? + 3y2 + z2; x = p sin o cos…

A:

Q: for y =u dx 3/2 and u = 10x +3 using the chain rule formula dy dy du du dx Compute dx du and dx…

A:

Q: Let y = 5x?. Find the change in y, Ay when x = 2 and Ar 0.4 Find the differential dy when a = 2 and…

A:

Q: Use the Chain Rule to find dw/dt, where w = sin 8x cos 2y, x = t/2 , and y = t4 dw/dx (Type an…

A: Please see the explanation below

Q: Let y = 4x2. Find the change in y, Ay when x = 4 and Ax 0.2 9.96 Find the differential dy when x = 4…

A: solution:-To find change in y,∆yy=f(x)=4x2x=4∆x=0.2∆y=f(x+∆x)-f(x)      =f(4+0.2)-f(4)…

Q: Q) Use the chain rule to express dy / dx in terms of x and y for the :following y =1-! 1 t = 1-x and…

A: Consider: y=1-1t and t=11-x. Calculate dydxin terms of x,y at x=2. Calculate dydt and dtdx using…

Q: dx Q2 / Use the chain rule to find ( ) in terms of x and y dy y = ( 2 1 1, at t2 t = 2 and X t + 1.

A:

Q: Let y : 2x + 3x +4. Find the differential dy when x = 5 and dæ 0.3 Find the differential dy when x =…

A: Given, y=2x2+3x+4 Differentiating with respect to 'x', we get dydx=ddx2x2+3x+4=2×2x+3×1+0=4x+3…

Q: dz Jse an appropriate form of the chain rule to find dt z = 3x*yl0; x = tº, y = t7 Enter the answer…

A: Topic- Differentiation

Q: Let y = 2x². Find the change in y, Ay when I = 4 and Ar 0.1 Sesse Find the differential dy when = 4…

A:

Q: Let y = 3x2. Find the change in y, Ay when x = 2 and Ax 0.4 Find the differential dy when x 2 and dx…

A:

Q: Q/ find dy by using chain rule y = t2 – 9+3, x= Vt – 1

A: Using chain rule we can solve the given problem. According to the Bartleby guidelines l have to…

Q: Let y = (x² + 3)4. Find the differential dy when a = 3 and dæ = 0.5 Find the differential dy when a…

A:

Q: Let y = 2/a. Find the change in y, Ay when æ = 4 and Aæ 0.1 Preview Find the differential dy when x…

A:

Q: dz Use an appropriate form of the chain rule to find dt z = 6x°y3; x = t8, y = t 52,3. %3D Enter the…

A:

Q: Compute dy/dx using the chain rule in formula. State your answer in terms of x only.  y = u3>2, u…

A: Given equations - y = u3+2           .....(1)                                                  In…

Q: Use the appropriate form of the chain rule to find the derivatives. w = 3x? + 3y2 + z²; x = p sin o…

A:

Q: dz Find given: dt re2y, x = t4, y = - 4+ 3t dz dt Your answer should only involve the variable t

A:

Q: dy I By writing u y", and using the chain rule, show that ) = ny- dx dx dy 2 Use the product rule to…

A: We have to find the derivative

Q: dw given w = a2 + 2y2 + 22 and a = cos (st), y = -2s Int and Use chain rule to find 2 = 3s' Vi.

A:

Q: ら)1f u-L -*9 sin (2x ty), x = s? + 2t" and y= 2s -t" au using at find the chain rule Ond as

A:

Q: dz x =t² – 1, and y = 3t + 2. Find using the chain rule. dt 3. Let z = %3D

A: Topic:- Derivative

Q: dz Use an appropriate form of the chain rule to find dt z = 3x"y"; x = t, y = t5 Enter the answer in…

A: Given that , z=3x7y7 ;   x=t5 , y=t5 dzdt=?

Q: Let y = (x² + 3)5 Find the differential dy when a= 5 and dr 0.4 40265318400 Find the differential dy…

A: Solve the given

Q: z = xy dy x + y = 2x/1-x²y² 2. Using the substitution change the "dx to a separable equation. Hence…

A:

Q: Find an integrating factor. + 2xy + 7y3) + (x?+ y²)y' = 0 u(x) = %3D Solve the given equation.

A:

Q: = xy³ + x2y, x = 31- 8, y = 4t2 - 4. dw when t 1. dt Use the Chain Rule to calculate dw dt

A:

Q: Find the differential of the function. p = 9q – 493/2 dp:

A:

Q: Let y = /7– 2. Find the differential dy when a = 4 and dæ = 0.4 Find the differential dy when æ = 4…

A:

Q: Find dw/dt (a) by using the appropriate Chain Rule and (b) by converting w to a function of t before…

A: Find dw/dt (a) by using the appropriate Chain Rule and (b) by converting w to a function of t before…

Q: Use the appropriate form of the chain rule to find the derivatives. w = 3x? + 3y² + z²; x = p sin ø…

A: Given:   w = 3x2 + 3y2 +z2  x and y and z values is given

Q: dz dz Use an appropriate form of the chain rule to find and du dv' = e2x²y; 1 Vuv, y= z x = Enter…

A: Explanation of the answer is as follows

Q: Find dw/dt using the appropriate Chain Rule. Function Value w = x2 + y2 x = 3t, y = 4t t = 2 dw dt…

A: We have to  find

Q: Let y = 5x?. Find the change in y, Ay when x = 2 and Ax 0.3 Find the differential dy when a = 2 and…

A:

Q: se an appropriate form of the chain rule z = 5a*y?; x = t!º, y = t7 ter the answer in terms of t. dz…

A:

Q: Let y 3T. Find the change in y, Ay when x 2 and Ax 0.3 Find the differential dy when a 2 and da 0.3

A:

Q: dy dx = 4. dt Given y= 5x +2x, find when x = -3 and dt - - dy (Simplify your answer.) dt

A: dxndt = nxn-1 .dxdt

Q: ds Differentiate with respect to t and solve for dt s2 = x² + y? %3D 2s ds dt = 2x + 2y dt dt x + ds…

A:

Q: dz (b) Determine the by using the Chain rule with the following information: ds 2 X = - s2 2 7 z =…

A:

Q: Let y = 3a. Find the change in y, Ay when x = 1 and Ax = 0.4 Find the differential dy when x = 1 and…

A: Given that: y=3x       NOTE: As per our answering guidelines, we can only answer 1 question or 3…

Q: dz where z=x sin y, x=t°, and .3 se the Chain Rule to find dt ype an expression using t as the…

A: Solution of the problem as follows

Q: If z = 52? – 3y? + 4y, find the differential dz. You should have variables dz, dy, y, and z in your…

A: