8z Use the chain rule to find and where 8s First the pieces: 8z Әт 81 8s dy 8s And putting it all together: əz 8s 8z Ot 8z It' əz dy 81 Ot dy Ot || || z = x² + xy + y², x = 4s+7t, y = 9s +10t

Q: x" +6x'+5x = 30 e", x(0) = 8, x'(0) = 28 Solve the IVP and find x(0.25) to at least four decimal…

A: According to the given information, it is required to solve the initial value problem.

Q: 64y2+7=32

A: 64y2+7=32

Q: eralvate s Ēodp where C is represientee ぐ F (Xっy)= yi 土 6+) = 28ti + tj

A: To evaluate: ∫CF.dr→F→x,y=xyi^+yj^rt=28ti^+tj^ ,     0≤t≤7

Q: k2-35=2k

A:

Q: ち, 0 ≤t < 1, \19. y'+y=<2-t, 1≤t<2, y(0) = 0, y'′(0) = 0 0, 2≤t < 8;

A: Given: The differential equation is given by,       y''+y=t,          0≤t&lt;12-t,    1≤t&lt;20,…

Q: 24 = 3 + y

A: We have to solve the given expression for y. The expression is 24=3+y.

Q: xedx (1+ x)²

A:

Q: 23-8K

A:

Q: Todt 5(-37+4)

A: Given,   ∫  -3t+410dt

Q: Зх + 9 6x P R

A: AAS criteria: If two angles and an opposite side of one triangle are congruent to the two angles and…

Q: 3p - p

A: Here Given that, 3p-p

Q: Find the domain

A:

Q: x+9= 12 %3D

A: Given: x+9=12

Q: 832+ 64x2² dx

A:

Q: Findi Fx, fox, frg, for Fag fox F(X ) = Eai () %3D

A: We find out the partial derivative of given function.

Q: Vs-+ 12²

A: To determine:

Q: Find 2

A:

Q: 8P4 11C7

A:

Q: -5 -2 1

A:

Q: a = 2 - 9a

A:

Q: 4т V17 3

A: Modulus function always gives positive quantity in result.

Q: 2t2 – 100 = 0 %3D

A: The solution is, t = ±5√2  The detailed solution is as follows below:

Q: Find L s²-8

A:

Q: 11 4.

A:

Q: dx 4е2я — 8ет + 5

A: This question can be solved using the concept of special integrals.