d²y 1.) of y = sinInß and x = In(Inß) dx2

Q: (a) (e* +In (y ))dx ++1 dy = +1 dy = 0 , y (In (2)) =1

A: note : as per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: Let y = x. Find dy and Ay at a = 8 with dx = Ar = 1. dy Ay =

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Q: dz dt Consider x = cos t, y = sint and z = x2 +y². Then ulan ||

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Q: dy Differentiate parametrically to find dx in terms of t: x = 4t?,y= 2t3

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Q: dy +y = sin (;) cos t, %3D dt2

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Q: Estimate ∆ y using differentials equ ∆y ≈ dy = f ' (a)dx y = cosx, a= π/6, dx = 0.014

A: Given y = cos x  a= π/6, dx = 0.014

Q: dy In(4x + 4) Find for y %3D dx 5e4x dy %3D dx

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Q: Find dy for all of : dx 1- y = x/Inx у

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Q: dy In(3x + 5) Find for y = - dx 8e3x dy %3D da

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Q: dy Find da if y = In(xiV1+ z° dy %3D dx

A: Recall: d(u.v)dx= u dvdx+dudx v d(xn)dx= n xn-1 d(ln x)dx=1x

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

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Q: dy Find dx - y = sin(3x*) dy %3D dx

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Q: (e* + In y +) dr + + In a + sin y) dy = 0

A: By Bartleby policy I have to solve only first one as these are unrelated problems.These are…

Q: Use Green's Theorem to evaluate Se (yæ² – 3) dx + (x³ + 4) dy where Cis shown below. y (-3,3) •(6.3)…

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Q: 3. Linear DE of Order one 2y(у? — х)dy %3D dx

A: Linear equation of dx/dy form is made

Q: - 16y? – 16x – 16y = 0. dy at the point (3, dx ves to calculate

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

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Q: Let Z = In X - y dz Find and dx dz dy

A: I have given the answer in the next step. Hope you understand that

Q: Find dy/dx in terms of a and y if aty – x- 2y- 2 = 0. dy %3D dx

A: It is implicit  derivative.

Q: Find dydx? for f(x, y) = eXy

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Q: find both dy/dx (treating y as a differentiablefunction of x) and dx/dy (treating x as a…

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Q: Evaluate d:/dx on the surface x: + + x²y®=² = 3 at the point (1, 1, 1).

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Q: Find dy. y= 2 In (3+x*) dy =|

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Q: (cos y- zsee'y) de – sin y dy = 0

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Q: dy Find for y = cos (8at + 1). dt dy dt

A: We have to find out dy/dt for given y

Q: Find dy/dx in terms of a and y if arctan(x'y) = ry. dy %3D dx

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Q: Bslve the differemial egution :- rential qution: dy =y? Cos -2X"y² %3D dx

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Q: Find dy dx if x=- and y and %3D dx 1+t 1+t

A: Given: x=t1+t and y=t21+t.

Q: z sin a dy dæ dz

A: The question is taken from the calculus inwhich we have to find the triple integration of the given…

Q: find the dy/dx at x=-2 for y=3u^2 + 2u and u= (x^2+5)^1/2

A: Explanation of the solution is given below....

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: dy In(5a + 2) Find for y = %3D dx

A: Giveny=ln(5x+2)7e5xdifferentiate…

Q: dy Find of y* = sin(e) + xtan-'x %3D dx

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Q: b) Differentiate y = e (In3x) + tan (3y) with respect to x. %3D + 2e In 3x Ans: dy %3D 3 1-

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Q: 3y dx dy 1.) Evaluate exactly: Va + y?

A: We will use double integration

Q: dy Differentiate parametrically to find dx in terms of t: 1 y = 2t2 + 4 X = |

A: x = 1/(t-1) y = 2t2 + 4 We have to find dy/dx

Q: 2X Qul If y = Fird dy e %3D (x? +1) (I+ sinx)

A: We use logarithmic differentiation

Q: Given that y + x + cos(xy) = 0. Show that dy/dx = ysin(xy)-1 /1-xsin(xy)

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Q: 7. Calculate dy/dx at the point indicated: f(0) = (7tan O, cos O), 0=/4

A: Here we will use the concept of parametric equation and Derivative of parametric ewyations

Q: (e* – sin y) dx + cos y dy = 0; when x = 0,y = 1 - %3D

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

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Q: y = x*, d'y 1 dy dx y dx, Prove that Y = 0. X

A: First we find out dy/dx then d2y/dx2. And put the values of dy/dx and d2y/dx2 in given condition.

Q: Solve the differential equation listed below:

A: Separate the variables.

Q: dy y(ln y- In a +1) %3D dx

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Q: Q3) Evaluate triple integral dz dx dy.

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Q: dy = y|* – sin x. In x when y equal to: dx

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Q: y.cos(z) dx dy dz * 0 0

A: Given that: ∫01∫0π∫0πy.coszdxdydz

Q: Find of/ dx and of /dy. f(x,y)= e(x+y+ 4) of/ dx = %3D of / dy %3D

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Q: Find dy when y = 3 1-x %3D dx V1+x

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: dy dx 2 at x = 5 if y = 4x? + 5 and dt = 4. Find %3D dt

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