17. The value of cot 1Xy+1 15. tanx + tany+ tanz =- 2' then the value of xý + yz + zx can be (b) - 1 (d) o0 (c) 0 16. If 4sin x + cosx = T, then x is equal to V3 (Ь) 1 (c) 1 (d) - + cot-1 yz + 1 Z-y 17. The value of cot cot-1z is y-x O cot -1 (b) tanx -1 -1 (d) None of these tan X-tan

Q: Solve the D. E. to the I. V.P. (1 +x² + y² + x?y²)y' = y², 2. y(1) = 1

A: The solution is given as

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A: Answer and explanation is given below..

Q: y"" 1 x² ln x

A: As per our guideline, we are supposed to solve only one question. Kindly repost other question as…

Q: dx 4. -' (x- 3)*

A: Solution is given below

Q: 3. For y = 3 sin x + 21, the third order derivative (a) -3 cos z +21 (b) -3 cos r 4. For y = e-2-50,…

A:

Q: on of y" – 2y' + 2y =

A:

Q: (1) If y = sin(tan-x), prove that %3D (1+ x²)?y" + 2x(1 + x²)y' +y = 0.

A: Since you have asked multiple questions in single request.so we will answering only first question.

Q: For cos2(xy) =, evaluate y' when x = 4

A: Given that: cos2(xy)=14

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A: see below the solution of q16 as per bertleby guideline I have to solve only the first question ,…

Q: 8) y" - 2y'+ 2y = 2e" cos(x)

A:

Q: e"+e (1) V 23 + 1 dx by speculation . x=e"+e-T (2) Use (1), if necessary, to evaluate L +1 (-) de V…

A:

Q: 1. Find y' of tan(x²y*) = 3x + y² Answer: y': 3-2xy* sec²(x²y*) 4x² y3 sec2 (x2y4)-2y

A: We will solve the problem

Q: 1. Calculate an expression for = y if V+b°y = tan-(x"y)

A:

Q: B) Find (dy/dx) for the following 1. y = tan2(cosx)

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 4. y=x

A:

Q: Given z(x, y) =In(2xy) where x(u,v)= e" cos(4v) and y(u,v)=e" sin(4v). Find ди 1 cos (4r)+-sin(4v)…

A:

Q: Q2/1 x = 0; pi/100 : 2 Pi; Y₁ = Sin(x) 2. Sin (X-0.25); 83 Sin (X-0.5); ун Y₁ = Cos (x); plot the X…

A:

Q: 13. Differentiate 1 3 y = 2x2 + 6x3 – 2x2 а. 2 6 b. у 3 —t 4 3 x2 3 x4 x2 'x3 y = sin³ [cos(tan(3x –…

A:

Q: y = 2 sin(2x) +11 30 30 30 Park 8. y = cos(36) 3- 1 537x 2 424 4 sin)-1 9. y 45 . 2 34 36

A: Note: Since Multiple Questions are asked, I am solving the first question, Kindly ask other…

Q: 1. / 2dx 3D 0 + С %3D С 2. Sx²dx = 2x + C %3D 3. S 5x*dx = x5 1 4. Sdx = + С 2(х2-5) x2-5 5. ſ tan x…

A:

Q: 15. sin x + cos y = sin x cos y

A:

Q: 6. Find y`and y`for y=sin(x + y). 7. Find y` for sin x+ sin y = 1. 8. Find y` for x cos y = sin(x…

A: As per Bartleby guidelines, we are supposed to solve only first question when multiple questions are…

Q: 2sim x-1 -y = COST+2

A: