Fu = x? + y? + z?, where x = e2t, y = e2t cos (3t), z du en at t= 0 is - dt

Q: dy Find - by implicit differentiation. Jx + y +Vxy =4 dx

A: Given: x + y + xy = 4

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: df + At" f(t)– B•cos(@t) dt with A = 5, n = 2, B = -6, w = 12, and f(0) = 3. derive an expression…

A: We are given the differential equation,                                      .

Q: Find dy/dx if 3 (cos y) (sin x) = y

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Q: find dy>dt.                                                        y = cos4 (sec2 3t)

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Q: dz Calculate for z = 4x² + 3y², x = sin(t), y = cos(t) dt

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Q: Q3) Find dy/dt of the function y = cos (5sin (t/3))

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Q: Perform the addition modeled by the base-six blocks. Provide the simplifed answer in base six. Note:…

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Q: y = Vr² + VT etin e y = r-5 y = (cos z)n. y = /tan 2x – sec3 (4x – 1)

A: as we are just given 4 functions and not any question so I assume we need to find the derivative of…

Q: •T/4 t4 tant dt 2 + cos t -T/4

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Q: find ds/dt. s = t2 - sec t + 5et

A: Given: The function is,

Q: Evaluate dy/dx if y = (sec2x - tan2x)/(2cos2x-1)

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Q: 1. Find dx dy for the following functions: 1) y = (x- 3)(1- x) (ans.:4 - 2x) b (ans. :-,) x* 2) y=…

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Q: d?s sin 3t + cos 3t dt2

A: Explanation of the answer is as follows

Q: Find dy/dx if y = sec¯¹(x) Answer: ·¹(x) + csc¯¹(x).

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Q: dv dv If V = ÷f(0) and x = r · cos 0 , y = r · sin 0 . Prove that x -+y÷= -V dr dy

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