If y = t“, then dy 4t³. dt

Q: If dy dt y. 1 - et and y = 0 when t = 1 find

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Q: If x? + y2 = 100 and dy/dt = 9, find dx/dt when y = 8. (Enter your answers as a comma-separated…

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Q: zy dy de t 5/2/2/0

A: To evaluate : ∫032/2∫0xxy dy dx+∫32/23∫09-x2xy dy dx The general formula of integration is…

Q: Find dy/dx in terms of t if x=te^t , y=6t+6e^t dy/dx=

A: Use Product rule of derivative and find the derivative of x with respect to "t".

Q: dy sec (re ), y(In 4) = 3 / t dt

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Q: dy If y = (t + 6t + 4) (3t2 + 4), find dt dy %3D dt

A: it is required to find the derivative.

Q: If x2 + y2 = 100 and dy/dt = 8, find dx/dt when y = 6. (Enter your answers as a comma-separated…

A: Consider the given: x2+y2=100 Differentiate w.r.t. "t",…

Q: Find dy/dx for y = J_1P+4 t2 dt t2+4 X. 3

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Q: dy Find - for y = du dy du = = [19+ √9 +10t2 dt. 0

A: given y=∫0u9+10t2dtTo find: dydu

Q: dy If y = (t + 2t + 8) (6t² + 6), find %3D dt dy dt

A: The given question can be solved as shown in step2.

Q: dt z = cos(x + 4y), x = 5 t ³, y = 8/t

A: We need to find out the value of dzdt

Q: Find dy/dæ in terms of æ and y if æ°y – x – 2y – 1 = 0. dy dx

A: We have to find dydx in terms of x and y if x3y-x-2y-1=0.

Q: If x = 2t2 +t+1 and y=8t3+3t? + 2 then dy at t = 1 is dx

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Q: dy If y (t+ 2t + 6) (7t + 6), r find dt dy dt

A: Given  y=t2+2t+67t2+6y=7t4+6t2+14t3+12t+42t2+36y=7t4+14t3+48t2+12t+36

Q: - 16y? – 16x – 16y = 0. dy at the point (3, dx ves to calculate

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Q: dy/dt= 2e-t/8, t is greater than or equal to 0

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Q: Find dy if x=t+6f and y= dx 2 5 at t=1 +

A: We have to find dy/dx

Q: Find he value of ds /dy at u = 2 if s = t2 + 5t and t (u² + 2u)3 du %3D

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Q: If y = x + ex, find dx/dt.

A: Given query is to find the derivative of the expression.

Q: dy Find dz If ze" + (Inz)y + y? = 3

A: Find dydx if xex+ (ln x)y +y2 =3 We will differentiate terms and then sum them up. So, ddx(xex) =…

Q: Find dy/dx in terms of t if x = te', y = 4t + 4e* dy/dx =

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Q: 1 -dt = xy ndif y + J sint+1 secx dx

A: Since you are asking multiple questions. As per our guidelines, we are supposed to answer only one…

Q: dy Find for y = /12+13t dt. dv

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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: (e) dy if y = (t +1)(t + 9) %3D dt It%3D3

A: Given that y=(t2+1)(t+9)

Q: If x= 2t +t+1 and y=8t+3t+2 then dy at t=1 is dx

A: We have to find value of dy/dx at x=1.

Q: -If x= cot- VE, y = ;, find dy dx'dx2 at t = 2.

A: We will use the formula (f(g(x))' = f'(g(x))g'(x)uv' = vu'-uv'v2 Given x = cot-1ty = 1t+1 Then dxdt…

Q: dy if y = vt' -e' and x = dx Determine In(6t)

A: dy/dx = [7/2 t^5/2 - e^t] [ln(6t)]^2/ t^2 [3ln (6t) -1]

Q: If y = (t² + 2t + 6) (3t² + 5), dy find dt dy dt ||

A: Given function: y=t2+2t+63t2+5 We have to find dydt

Q: y = tan o (sin 67E-TT) find dy dt ()

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Q: Find the value(s) of dy at y=1 given that x²y+y² =5. dx only only D

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Q: 3y dx dy 1.) Evaluate exactly: Va + y?

A: We will use double integration

Q: Find 4 at the point t = 5. dy dx c(t) = (t^, t³ – 3) dy dx (at t = 5) = ||

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Q: dy/dt=0.3(y-200) y=70 when t=0

A: Given differential equation is

Q: dy If y = (t + 6t + 5) (6t² + 6), find dt dy dt ||

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Q: dy If y = (t + 5t + 6) (2t² + 4), find dt dy %3D dt Submit Question

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Q: dy Given that y = In 9x, find dz dy

A: Use derivative rules to find dy/dx

Q: , find dy/dx. х • 7x² V2 + cos³t dt 126. y 125. y = V2 + cos³t dt 128. y 127. y = dt 12 + 1 dt 3 + A

A: Hey, since there are multiple questions posted, we will answer the first question. If you want any…

Q: e'dy + (5t + ye')dt = 0.

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Q: Q1-If x= cot- VE, y =, find 2 dy dy dx'dx at t = 2. t+1

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Q: dy y? y(to) = 0 2t dt

A: Given                  dydt=-y22t,     yt0=0

Q: If x=t² - 5t and y=1-61 , then dy at t=1 is dx

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Q: Find the value(s) of dx at y= 1 given that x²y+y² = 5. only В only 2

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Q: dy If y=t+t and x= 5t+7 then at x = 17 is: dx

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Q: dy 13. y(1) = e de ar(In y - Inr + 1)'

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Q: S 6 ttan t dt = %3D dx Jx

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Q: If x2 + y2 = 100 and dy/dt = 4, find dx/dt when y = 6. (Enter your answers as a comma-separated…

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