Given z = 8t – 18 and y= 64 sin t dy (i) da dy (ii) dx?

Q: Given a = 8t – 22 and y = 64 sin t %3D %3D - dy dx d'y %3D da?

A: Let x = 8t - 22 and y = 64sin(t) Differentiate x with respect to t dxdt=ddt(8t-22)=ddt8t-ddt22dxdt=8…

Q: Given arccot(sin(2x + y)) + arctan(cos(2x + y)) = 0, solve for dx %3D dy

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Q: Given z = 9t – 11 and y = 81 sin t %3D dy (i) dz dy (ii) dx?

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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 x = 8t - 21 and y = 64 sin t dy (i) dx dy (éi) dx?

A: I am attaching image so that you understand each and every step.

Q: Given x 4t – 13 and y = 16 sin t dy dx a²y dx2 ||

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Q: Given that cos(2x+y）=4xsiny, where 0≤y≤π, find the value of y and dy/dx when x=0

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Q: Given z = 2t -41 and y=4 sin t %3D dy (i) da dy (ii) da?

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Q: Determine the particular solution to dy/dx= 2 sin x, y(pi)=-2

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Q: Given z = 9t – 11 and y = 81 sin t dy (ii) 9*sin(t)/0 dx²

A: Here we have to differentiate the given function

Q: j) S (2 cos a – e) dx

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

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Q: Given a = 2 cost + 17 and y = 3 sin? t dx dt dy dt dy dx

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Q: If Xy +y.1 find the value of dy dx 2 5- at the point Co,-1)

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Q: Given z = 64 sint+ 5 and y = 64 cos t + 4 da (i) dt dy (ii) dt dy (iii) dx || ||

A: Using derivatives of parametric function.

Q: Given that y = sin (t) and x cos²(4t*), hence find dx dy

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Q: Given z = 2 cos t + 35 and y= 9 sin? t da (i) dt dy (ii)- dt dy (iii) dx

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Q: Given x 13t - 12 and y = 169 sin t %3D %3D dy %3D dx dy dæ?

A: Given that       x = 13t - 12   and   y = 169 sin t Here we have to calculate     dy/dx         and…

Q: Given x = 2 cos t + 36 and y = 8 sin?t dx (i) dt dy (ii) dt dy (iii) dx

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Q: Given x = 5t – 27 and y= 25 sin t dy (i) dx d'y (ii) dx? ||

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Q: Given x = 2t - 35 and y = 4 sin t dy (i) dx dy (ii) dx2

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

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Q: d'y Find for dr? y = 5x? cos(x) + 13 sin(x) d?y dz? ||

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Q: Given z 13t 9 and y- 169 sin : dy dx d²y da?

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Q: d²y Answer: 1 . If x = t + cos t, y = sin t, find dx2 dx2 (1-sin t)

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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 a = 2 cos t + 3 and y = 3 sin? t dx dt dy %3D dt dy da

A: From the given problem:   x=2cost+3  &  y=3sin2t   So, a)…

Q: Given that y=e3x sin 2x. Show that d2y/dx2 - 6dy/dx + 13y = 0

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Q: Given x = 11t – 46 and y = 121 sin t dy dx dy dx? || ||

A: We have to find out the derivative and second derivative of given function

Q: Given x = 4t - 22 and y =16 sin t dy dx dy dx2

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Q: Given x = sin3t, y = -cos3t, then find at t =. %3D dx а. 1 b. 3 с. О d. 2

A: We need to find dy/dx.

Q: dz Find a? sin(2y – 5z) =1+y cos(6zx)

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Q: If y = 3 t2 – 4 t – 6 and x = dy sin (4 t) , find dx

A: Given, y=3t2-4t-6andx=sin4t To find the value of dydx.

Q: Find the general solution of the following exact differentia (e + 2ry)dx + (cos y +2a y)dy = 0.

A: As it is given the differential equation is exact si we can directly use the formula of exact…

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: Given x = 2 cos t + 48 and y = 8 sin? t dx dt dy dt dy dx || || ||

A: We use parametric differentiation

Q: Given x = 8t – 21 and y= 64 sin t dy dx dy (ii) dx 2 %3D

A: Given the function

Q: dy 3X is Given y=.5c t Sin x., Jx

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Q: Given z = 6t 45 and y= 36 sin t %3D dy dx dy da2

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Q: Find the solution where y= 1 and dy/dx = 0 when x =0 and describe the behaviour of the solution for…

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Q: cos(xy) + sin(x/y) = 2y find dy/dx at point (pi,1)

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Q: dy If x = 3 sin t and y = 2 cos"t, then find at /= dx Oa0.76 Ob.0.86 OC 0.67 Od.0.56

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Q: Q2:B/ Find dy/dx f Via - "sin Vi dt y = + cos t dt

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Q: Given x = 13t – 6 and y = 169 sin t dy dx d²y dx? ||

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Q: Given x = 61 sin t + 36 and y = 3721 cost – 29 - dx (i) dt dy (ii) dt dy (iii) dx

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Q: Find the general solution to the following equations: dy 2+ tan y dx

A: The given is the differential equation which can be solved as shown in step 2.

Q: Given a = 2 cost + 20 and y = 5 sin?t de (6) dt dy (é) dy (é) de ||

A: We have to find the derivative of given functions

Q: D. ( [ 3° cos"(5t) dt sin(z)

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