dz If z = et cos y, x = st, y = s+t, find Əs A. 2π B. T C. 0 D. -π E. -2π when (s, t) = (0,2π).

Q: I=Jx Incx) dx, where b is a constant with %3D bフ)

A: Intregation of product of two variables is given below

Q: d²y Show that y = sin(2t) satisfies . + 4y = 0 dx²

A: 1) To prove the given equation 2) To find the value of w

Q: 3. v* - 4 3. Vx? – dx x = 2 sec 0

A:

Q: Given that V= pz cos o, find VV and V²V.

A: We have given that, V=ρ2zcosϕ We need to find ∇V and ∇2V. We know that gradient of function fx, y in…

Q: The equation æ? + y² – z² = 1 in R³ describes %3D

A: Find your answer below

Q: | 7x°(x - 5)-4 dx

A:

Q: x²y(cos(Tz) +2) dæ dy dz

A:

Q: H.w Evaluate;- Cos TT lt-1)idt

A: To evaluate:  1) ∫-∞∞δt-2e-tcosπt-1dt2) ∫03∫-∞∞t2+4δt-τdτ dt

Q: If 7x5 - 5y7 = 5x² + 7y°, find dy/dx. dy dx II

A: Given problem:- If 7x5 - 5y7 = 5x2 + 7y5 , find dy/dx.

Q: F k d

A: Use conic section we can prove it.