dz Given z = xy + sin(xy2), with x(t) = 2t + 1 and y(t) = -t², find dt t=1

Q: Find F′(x).

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Q: Vx6+7 (etan**) dy where ylny) = dx B) find (x2/3)( y v) sec

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Q: du = t2 + 3u, t> 0, u(5) = dt 100

A: Given differential equation tdudt=t2+3u and u5=100 ⇒tdudt−3u=t2⇒dudt−3tu=t2t⇒dudt−3tu=t Hence, the…

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 dy/dt.

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Q: Find y as a function of t if y (0) = 7, y'(0) = 3. y(t) = 25y" +50y + 106y = 0,

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Q: find dy/dt. y = (esin (t/2))3

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Q: F(x) = 9t dt

A: given: Fx=∫0x29t dt Fx=∫0x29t dt=9∫0x2t dt=9t1+11+10x2=9t220x2=92t20x2=92x22-02=92x4-0=92x4

Q: Find the derivative of the function. -1 y = (3t – 1)(6t – 5) dy dt II

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Q: P. (F(2³)) dz 13

A: We have to find derivative