Tutorial 14 If y = (sin-1 x)², show that dy (1 – a²) - dy = 2. dx dx?

Q: 4. Bernoulli's Equation 3dy – 4xy dx = 3x²y*e=2x² dx

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Q: dx sin*x

A: We have to integrate.

Q: COs x dy Find when y = dx csc(7x + 1)' dy dx

A: The given function is y=cosxcsc(7x+1)

Q: cos (x² + y') = x - lg Find dy using implicit differentiation: 2. %3D dx

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Q: 2x2sinh(x3)cosh?(x3) Option 3 O :The dy/dx for the y(x) = sinh?(x3) cosh ²(3x²) Option 1 O 6x2…

A: Solve for the given

Q: sin x dy 2. dx 2у x2

A: In this question we have to find the solution of the given differential equation.

Q: d/dx (sin^3 x) = d/dx (sinx sinx sinx) = ?

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

Q: S(sinx + cos x)² dx

A: To find: The integral of . Formula used: Algebraic formula: Trigonometric formula: Integration…

Q: 4 Find dx for y = - +7 sin x. X

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Q: 5. . sin 3x dx

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Q: S sin x In(1 + sin x) dx

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Q: 3. dx -x' csc 2 ydy = - dy tan 2y

A: The solution are next step

Q: c- S cos(Inx).dx

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Q: TT sin 5. Approximate dx by Simpson's rule with seventh ordinates?

A: Simpson's Rule:    ∫abf(x)dx=∆x3f(x0)+4f(x1)+2f(x2)+...+2f(xn-2)+4(fn-1)+f(xn) Where, ∆x=b-an We…

Q: (1+x° 2) 늪(cot-1 () - d dx 1-x,

A: Solution:To find:ddx cot-1 1+x1-x=?Formula:ddxcot-1x=-11+x2ddxuv=vu'-uv'v2

Q: a) Find for 5x² – x³ sin y + 5e*y = 10 dx

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Q: dy = sin(x+4) dx

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Q: dz/dx&dz/dx at the point (1,1,1) Find the value of if the equationxy + z³x - 2yz = 0.

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Q: e3 sin(5x) dx %3D

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Q: Ssin'x cosde 3. Sin'x cos dx

A: Given: ∫ sin3(x)  cos(x) dx We have to evaluate the given integral.

Q: i y = tan-1(x)+ tan-1() dy + 10 dx

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Q: 4. Bernoulli's Equation 3dy – 4xy dx = 3x²y*e=2x² dx Зdу — 4xу dx

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Q: Using dx/dy solve sin(x+y)-cos(x+y)=1

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Q: | e3* sin(2x)dx

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Q: sin(y) = -5x dy Also, dt 10. dx Find when y = -T. dt

A: Consider the following: Differentiating the function with respect to x on both sides, we have,

Q: d'y -+42=sin 2x 3 dx dx

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Q: S sin-1 3x dx

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Q: for the equation dx ecosh-(x) = In(x) sinh-(y) Find %3D

A: Using differentiation of   product rule and implicit differentiation,

Q: Find dy/dx of y=1/ (tan-1 x)

A: The given function is: y=1tan-1x

Q: . Ssin's cosʻx dx COS COS

A: First we divide numerator and denominator by 26 and then use the formula sin(2x)=2sinx cosx  And…

Q: -dx + 1 - x²y? dy. 1– a²y? dx = constant. help (formulas)

A: Given that dx=y1-x2y2dx+x1-x2y2dy The objective is to find the solution for the differential…

Q: rycotx b) Find If cos (2y) – S cost dt = 4 – x? - dx

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Q: dy Y - sin sin-* = 0 ソーx || dx 3.

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Q: 4-S e²*sinx dx

A: We have to find the integration of the given function.

Q: 2e3* sin 2x dx

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Q: | arctan x dx=?

A: We evaluate given integral

Q: (a) sinx dx=0. Justify your answer. Show that %3D -3 1+er?

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Q: cos(In x) dx

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Q: 3) dy dx - y = sin x

A: We have to solve the given differential equation.   According to our guidelines we can solve only…

Q: 5. S sin5x cos 3x dx

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Q: (sinx+1) (cosx+1) dy evaluate dx -If: y =

A: Use the concept for derivative of the form  y = f(x)/g(x)

Q: Sõ sin“ 3x cos 3x dx

A:

Q: e* sec (e* +1)dx tanle* +1

A: We need to evaluate ∫ex sec2(ex+1) dxtan(ex+1)                              (1) Let tan(ex+1) = t On…

Q: – (x²- 1) dx using P (1 -;*)-^;* / * m in terms of A?

A: Use simple integration formula.

Q: Find dy/dx if sin-(4y²) = 8x² – 5y3 Answer: Find dy/dx if tan- (xy²) = 3x² – 5y² Answer:

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Q: a²-x2 6- Sº, S dy dx -Va2-x2 7- Sx? cos 5 x dx

A: As per bartelby guidelines we have permitted answer only one question if given more than one…

Q: I. Power Formula cosh3x dx 1. S (1+2sinh3x)5 tanx dx 2. S (1+Iпcosx)2 3

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Q: S sin(3x)cos(2x)dx

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Q: Find dy/dx by implicit differentiation. 72 – 5y? = 4 dy/dx = Need Help? Read It

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Q: S sin(v3x + 2}dx

A: To evaluate the given integral