If x =1 +1 and y = 21, find 4. dy dx a. 3t b. 61? 612 с. 61? d. 1? +1 (r* +1)*

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: Using the fomat of dy/dx below, find (A +B+C+ D). dy 40t? + At +B dx -Ct? + Dt + 3 ||

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Q: Given x 19 In(t) and Y 361 t2 then find dy dx dy dx?

A: To find: The value of dydx and d2ydx2. Given: The values are x=19 ln t and y=361t2. Formula used:…

Q: Given æ = 11t – 10 and y = 121 sin t dy (i) dx dy (ii) dx? ||

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Q: Given æ = 13t – 49 and y = 169 sin t dy dx dy dx? ||

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Q: Given x 14t – 24 and y 196 sin t - dy dx d²y dx?

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Q: Use an appropriate technique to evaluate the following: 1 dx dy (1+ x² + y²)²

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Q: find dy/dx in terms of x and y if (x-a)^4+y^4=a^4. Assume "a" is a constant dy/dx=?

A: Given: (x-a)^4+y^4=a^4

Q: Use Euler's modified formula to find an approximate value of y whenx = 0.3, given that = x+y and…

A: Given  dy/dx = x+y and y(0)=1 To determine y(0.3) using Euler's modified formula

Q: Given y=squarerootx.  Find dx/dt when y=8 and dy/dt=1.75

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Q: Find dy/dx for the following xVx² In y = In + 1 2 (x + 1) 3

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

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Q: Given x = 4 In(t) and y = 16 t² then find dy dx d²y dx?

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Q: Given z = 3 In(t) and y = 9t then find dy dx dy dx2 |3|

A: givenx=3lnt,y=9t2

Q: Given x 13 In(t) and y = 169 t² then find dy dx

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Q: Find dy/dx by differentiating implicitly. When applicable, express the result in terms of x and y.…

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Q: (In x)² dx, .3 te ato u a ? and dy

A: Integratipn by parts problem

Q: dy 5. If y = e+1 sin(1 – a2), then Find dx

A: We need to find the derivative of y=e3x+1sin1-x2 We will use the product rule to find the derivative…

Q: S = ÷ S gle) de, then 9 x /1 - xª dx 4

A: The question is taken from the calculus in which we have to solve the integral of given question We…

Q: D. (a)S sec? 3x dx (b)S 2cosec2 4t dt 2cosec24t dt

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Q: If 3x2 +2xy +y² = 2, then the value of dy at x=1 is dx

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Q: Find dy/dx for the following : (Invx) (4secx) (tan-le3*) (6cot5x) e(2 In 9x) 13) у %3D

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Q: Given x 13 In(t) and y = 169 t2 then find %3D dy dx dy dæ?

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Q: Given z = 15 In(t) and y = 225 t² then find dy dx dy dz² ||

A: Given : y=225×t2......(1)  x=15 lnt......(2)

Q: Find dy/dx at the given point. (2t + 9, 7t − 9), t = 1

A: We have to find dy/dx at the given point - (2t + 9, 7t − 9), t = 1

Q: dy Find dx for y = (1+ æ)* || Ans=

A: Here we can find the derivative as below.

Q: For which value of a the equation dz dy dx =1 -1

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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: Suppose a E R, where a > 0, a # 1, what is[a"]? dx a" In(a) © xa²-1

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Q: If we solve the DE y dx + 2 x dy 0 alter converting it to Exad using an

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Q: Let y=e" +b(x+1)'. When x = 0, suppose that dx - 0 and -0. dx Find the possible values of a and b.

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Q: If x t-t3 and y = t2-t, the value of at t = 2 is dy dx

A: It is simple differentiation.

Q: Find for dy dæ² y(x) = cot(x) *= csc? dy dx? 2

A: Given query is to find the double derivative of cotx.

Q: Given x 6 In(t) and y = 36 t2 then find %3D dy dx dy dx? ||

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Q: If x u(u – 1)2 and y = (3u - 1)², then what is the value of dy/dx

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Q: Given x = 32t + 1 and y = 160t? + 116 dx (i) dt dy (ii) dt dy (ii) dx || ||

A: x=32t+1 and y=160t2+116, then we have to find i. dxdtii. dydtiii. dydx

Q: D. Find dy/dx of the following and simplify x v4-x y= Arccos

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find 3 for 2 = In (xº dx Provide your answer below: +y¹).

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Q: if y=tan u, u=v -1/v and v=ln x, what is the value of dy/dx at x=e

A: We have to find dy/dx .

Q: хуз dx + e** ,3 dy = 0.

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Q: Given r = 15 In(t) and y= 225 t then find dy dx d'y da?

A: Given that x=15lnty=225t2

Q: if y=u, u=v -1/2 and v=lnx, what is the value of dy/dx at x=e

A: Calculate the value of dy/dx and then put x=e .

Q: Given tanh(x)+ tanh (y) = 1, show that, dy 1- y? dx 1- x2

A: We can find the required answer as below

Q: Use an appropriate technique to evaluate the following: 1 dx dy (1+x² + y²)²

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Q: dy 4. If y =cosh( 4 tanhx) dx

A: As per your query the answer of the question no 4 is given in the next step.

Q: Given æ = 15 In(t) and y = 225 t² then find dy dx dy dx?

A: Given that       x = 15 ln(t)      and   y = 225t2 Here we have to find        dy/dx       and…

Q: 1- y? 1+ y 4 06: If x? dx Show that 1 %3D ,2 dy レアス+1.

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Q: Let @ = 7e* dx ^ dy + ae³ dx ^ dz and n = 7e*y dx + 14e* dy+ e³ dz, where a E R. Find the value of a…

A: Given: 2-form, ω=7exdx∧dy+αeydx∧dz. 1-form, η=7exydx+14exdy+eydz.  where α∈ℝ. To find: The value…