EXAM Q1-If x= cot- VE, y =;, find dy dzy dx' dx2 at t = 2. t+1

Q: Let y = tan(2x + 2). Find the differential dy when z = 5 and dr = 0.2 Find the differential dy when…

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Q: plutions of (e + In y +2) dx + ( + In z + sin y ) dy

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

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Q: Ho Find (dy/dx) for: tanh-¹(x y) + e(x+y) 5 cos(y)

A: It is given that, tanh-1xy+ex+y=5cosy. The objective is to find dydx. Formulas used:…

Q: dy - år if y = In (sinh 50) and x = cosh 40 dx

A: Solving the problem by doing the derivative.

Q: That question please

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Q: Find dy/dx, where xsiny +ysinx=1.

A: Given - xsiny+ysinx=1 To find dydx Here we will use the following formulas- ddx(uv)=udvdx+vdudx…

Q: EXAM Q1-If x= cot-1 VE, y =,-. find dy d2y dx' dx2 at t = 2.

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Q: 1. y = 5sin 3x*

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Q: Ify arctan (in x), find dx/dy at x = 1/e A B) e/2 e/3 D.

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Q: dy Find by implicit differentiation. dx 8x? = 5 - ey dy %D dx (Type an exact answer.)

A: Consider  8x2=5-ey

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A: Given: ∫-11∫0πx2sinydydx for finding given integral we integrate one by one

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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…

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Q: Evaluate LSIT (*+y+z)dx dy dz . X-Z

A: Introduction :We have to solve given triple integration .

Q: find dy / dx by implicit differentiation.

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Q: dy Find dx if y = cos e*

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Q: S sin Vat dt

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A: The given region of integration is bounded by all three axis and the plane:  x + y + z = 4.

Q: 3. Arctany dy

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Q: Evaluate xy dy dx ?

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

A: Given, y=sin-1x2 Differentiate with respect to x y'=2sin-1xddxsin-1x=2sin-1x11-x2y'=dydx=2sin-1x1-x2…

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

A: Formula,ddxtanh-1x=11-x2Note- Since multiple questions are asked, I am answering the first question…

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Q: Find dy/dx in terms of x and y if arctan (x^3)=xy^3?

A: To find the derivative of the given function.

Q: Find dy/dx in terms of x and y if arctan(x*y) = y“. dy dr

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Q: 1 •arccos y Evaluate esin a dxdy.

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Q: eteR MiNe SiN IN°()COS)dx

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Q: 1 Evaluate dx by using Trapezoidal rule. Hence obtain 1 + x2 he approximate value of .

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

Q: (5x )cos( - Jax + S, (5x – 15)cos( 1.5 a 1.5 1.5 dx

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Q: The integrating factor of the equation sec? y + xtany= x° is: dy de In|sina| O None of these…

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Q: dy/dx=(x+siny)/(2y-xcosy) is an exact equation

A: Given that dydx=x+sinyy-xcosy we need to check that it an exact equation

Q: If y = (sin-' x)², show that (1 – 2*) dy dr? dy 2. dx

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Q: /hat is the value of dx at the point (1,0) if y = In(x² +y²)?

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Q: If y= tanu, u=v-- -, and v=ln x, dy at x= e? dx what is the value of

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Q: dy Find dx if y = a (sin (1))". dy

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Q: y Find dy/dx of eY sin y :

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: dy Find by implicit differentiation. dx x* +y° = 44 %3D dx (Type an exact answer.)

A: Given the equation  x4 + y6 = 44 , we need to find   dy/dx. Now,   By differentiating the given…

Q: with x=sec t and y=e". Then the value of dz evaluated at dt If z=tan In t= 0 is equal to (Correct to…

A: Given function z=tanln4x2y with x=sect and y=e2t Substitute the x=sect and y=e2t in the given…

Q: gives – sin(y)ÿ = cos y = x, so implicit -1 - csc y = rentiatio dy dx

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Q: find dy / dx for Hhe follo wing 2X y=3+ ln (sin x?)+In (sin 5x)

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Q: Differentiate y=arccos(e^(3x)) dy/dx=____________

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Q: Give what is asked. Find dy/dx. Show your solution.

A: Simplify the equation and differentiate it.

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Q: dy Find of sin x + cos y = ety. dx

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