Find dz/dt where z = 2xy - x² y² and x = 2t, y = t² at t=1

Q: ne initial value problem d.x 3- teat ¤(0) : %3D %3D dt2 dt

A: The given equation is d2xdt2=3dxdt+e4tand the initial condition x0=14, dxdt0=7to find the general…

Q: Assume that y=2x and dx/dt =4. Find dy/dt . dy/dt

A:

Q: Let xy = 4 and dx dt Find dy dt when x = = 2. 1.

A: ..........(i)Differentiating equation with respect to t Put   ..........(ii)

Q: Find the value of dw/dt if w = x2+y2, x = 26 cost and y = 26 sint

A:

Q: Find dx dt da dt at x = 5 if y=-x² - 1 and dy dt 1.

A:

Q: Assume that y = 5x and dx/dt = 2. Find dy/dt.

A: Consider y = 5xApplying derivative with respect to t on both sides and plugging the values:

Q: Assume that y=5x and dx/dt = 8 find dy/dt

A: Differentiate by chain rule : →f(g(x))dx = d(f(x))d(g(x))×d(g(x))dx.

Q: dy If y = (t² + 5t + 8) (3t² + 2), find · dt dy dt

A: given  y=(t2+5t+8)(3t2+2)dtndt=ntn-1

Q: dy for y = dx 9t -dt. 9t + 1 iz's rule to find

A:

Q: dx + 2x – 3y = t dt

A:

Q: Find dy/dt of y=(1+lnx)/1-lnx

A: consider the equation