fla)t Problem 1. Use implicit differentiaton to find if /2x + 3y = 4 + x² + y? %3D dx

Q: If sin y =x sin (a +y) then show that dy sin (a +y) (a is not multiple c dx sin a

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Q: (a) VU (a) 'vU (1) Problem Dy

A: Using union and intersection properties,

Q: Question 9 To evaluate J y-cse(y?)cor²(y³)dy, we let u =cse(y³) A) True B) False

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Q: QUESTION 3 dy = 2x+1. dx a) Find y at point (2,2), if

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Q: If S f«)dx = 8 and g(x)dx = -2, which of the following cannot be determined from %3D the information…

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Q: Scot y dy PROBLEM 4 : PROBLEM 5: J (8x* – 6x + 12x – 9) dx

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Q: Find the GS of the following Bernoulli's equation 3. dx - 2хydy %3D 6x3 у?е-2у"dy B.

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Q: dy 2х %3D (Зу + x)— dx

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Q: sec2 t dr 42. dt (п, 4) TT tan t + 1'

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Q: QUESTION 4 If y = (sinx), show that %3D (1 – 2) dy dy 2. dr? dr

A: Explanation of the answer is as follows

Q: Solve the following Problems: 7. 2x tan y dx + sec² y dy = 0 %3D

A: solution is given below

Q: If I = , 2x e*dx dy = then 1=

A: Given:     ∫11∫012xex2dxdy

Q: If y=tan(arcsec/x), then dy/dx is A none of the given choices B 2(x- 1) Vx-1 2(x – 1) sec2(arcsec/x)…

A: We have to solve the problem

Q: t or points for each ase portrait on this page. dx = 2x – 2y – 4 and- = x+ 4y +3 dt dt GURE 6.1.

A: Given

Q: Question 15 Let w = x'+ V9x, y= w°. Find ay dx

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Q: (y – x)dx + (2x – y)dy or the given path. C: x = 2 cos(8), y = sin(8), o se s 27

A: This is a problem of vector calculus.

Q: Question 10 If y = xin x, find dy %3D dx2

A: Answer and explanation is given below..

Q: Question 2 Let y=e" +b(x+1)’. When x = 0, suppose that -0 and d'y dx a) = 0. dx Find the possible…

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Q: dy IN QUESTIONS 1-13, FIND dx' 3. у %3DV11 — бх

A: Given that       y = √(11-6x) We have to find dy/dx .

Q: • Question 4 Given: = =2 + xy", x = uv + w°, y=u+ve" dz Find when u = 1, v = 3, w= 0 ди Check Answer

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Q: Question 6 af Given f = esec (#) -ya+y, find dy (#) sec² (=) ye NO -y+In (y)

A: Given :f=esecxy-yx+y

Q: If y(x) = sin u, then y' is* du dx cosu Cosu Option1 Option3 du Cosu dx - cosu Option2 Option4

A: Given, yx=sinu, then we have to find y'.

Q: Ex S SeeX dy tan'y ttanx tl d X

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Q: Question 14 Solve the following DE: (2xy? + 3x?) dx + (2x²y+ 4y) dy = 0 O a²y? + 3x + 4y = C O a'y?…

A: Solution of differential equations

Q: If y = cos2x then dy/dx

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Q: If u=e*? then du= ... %3D dx 2xe* dx 2x 2xe*

A: The chain rule states that ddxfgx=f'gxg'x.

Q: Soluie the giren îuitial-value problem dx =5 smwt; x6) =0; dx tox に dt

A: Here is the solution of the given problem.

Q: Question 21 y dy Find y+2 using the substitution +5= √y+2.

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Q: If y=tan(arcsec/x), then dy/dx is sec2(arcsec/x) A 2х sec2(arcsec/x) (B © none of the given choices…

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Q: QUESTION 5 dy If y=5sinu and u=4e%, then the value of Y dx 4cos(5x) cos(20x) • 20cos(4eX) 20cos(5eX)

A: To find this will use chain rule of differentiation If y = f(u) and u= g(x) then according to chain…

Q: If y(x) = sin u, then y' is* du Cosu dx Cosu Option1 Option3 du cosu dx - cosu Option2 Option4

A: The given function is: y(x)=sin u

Q: Question 13 Given: ez + xy = 1 dz Find: dr zey te O dz 8x 8x dz 8x Za zerx Ty IZ ce¹² ze Ty

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Q: Problem 19  Assuming B=/ 0, compute ∫((Asqrt((x^2)-(B^2))/x)dx in terms of A and B.…

A: To evaluate:

Q: If y = cosx, then dy dx is

A: Given that y = cosx  And we find its first derivative with respect to x. And after we put the value…

Q: If * 1 y = 3u? + 2 and u = -, x = 1 then dx dy ||

A: If  y=3u2+2u=1x x=1 To find dydx

Q: Solve: cos ysiny+ zcos"y-3= 0 dy Зcoty 3 Ctany Ox- 3tany = Ccoty 3secy= Ccscy 3cscy= Csecy

A: We have to solve the differential equation.  Divide the given equation by cos2ysin y dxdy+xcot…

Q: Item 8 of 10 What is S P, (x)dx if the given DE is y(6y² – x – 1)dx + 2xdy = 0? Select the correct…

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Q: Ex(1) : find f,' S, 6xy² dy dx

A: From the given problem:   I=∫24 ∫12 6xy2dydx...(1)   Now solve for:…

Q: dydx COS (4) LL dydx + y? x² Vx4

A: Given Double Integrals are: (2) ∫01∫0xcos12πx2dydx (4) ∫01∫x21x3x4+y2dydx Her we use the integral…

Q: Question 20 Evaluate: o So So (x+y+2) dz dy da

A: In this question we have to solve triple Integral.

Q: (eª) dæ + (eª cot y + 2y csc y) dy = 0 Ans : e" sin y + y² = c

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Q: Set C: Problem #6 Fina the equgtion of the line tangent tO FCx)= cas?x - sin² () at x = 2JL

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Q: e dx PROBLEM 2: J 5e -4 2 csc" wdw cSC PROBLEM 3 : 1+cot w

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Q: Solve the following problem %3D 0, 0 0, + dx² ' ay? u(0, у) —D 1, u(п, у) %—D 0, и(х, 0) %3D 0, и(х,…

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Q: if y= In(arctan (2 x)), dy=? XP

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Q: NOTE: Enter the exact answer. yz dx dz dy = %3D -90

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Q: 9) xdy- ydx = (x² + y ² ) ex dx a) artan. * =* b) arctan X = ţ c) auctan $ d) none of the above etc…

A: This is a problem related to differential equation. Based on the general formula and concept we will…

Q: Question 12 of 12 fe #0. dz and ye-8 sin 4z = 4z %3D dz dx dz dy II

A: The objective is to find the partial derivatives.

Q: If y = Ju+2 and u = 4x - 2, then dy/ dx is

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Q: 1. 3 cos @ ein de 2. S- (+2)dy 3. S (20+4y+yaja sec a tan a da

A: As per guidelines we have to solve the problem