26. Circle the following equations if they have symmetry about the y-axis. x² + y? = 9 %3D y -3 csc x x= y - 4 y 3 cos x %3D %3D y = x² + 1 y = x3 y = sin (x -) y3D3

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A: Note the result : The equation represent a equation of rectangular hyperbola .The points on the…

Q: QUESTION NO 2: Differentiate the following (a)Y=6x?-sec-1 5x (b)Y=2cos(x)+6cos-1 OS

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Q: Solve the following exact equations: 1) (сos 2y — 3x*y*dx + (сos2y — 2xsin 2y -2x'y)dy %3Dо 2) (2ху-…

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Q: By approximately how much will f(x, y, z) = x cos(rz) – 4x – 3y sin(xz) + y - change if the point…

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Q: -п/2 сп/2 w L cos dz dy de (ху

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Q: Solve (by separation of variables) the following problem du = 0 ; x E R , t> 0, t > 0, - и(х,0) =…

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Q: 3. If G = (2x²y – x*)î + (e*y + y sin x)j+ (x² cos y)k, find: %3D дхду

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

A: solution is given below

Q: 13) W W A) reflection across y = 2 B) reflection across y = x C) reflection across y =-X D)…

A: To find the transformation rule here we check the axix of symmetry.

Q: b) Z = Arctan ( x² /y³)

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Q: Which of the following equations is NOT an exact equation? A (2x sin y + y)dx + (x² cos y + x)dy = 0…

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Q: d. y= cos-x

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Q: dy for 2xy = dr 4 cos(x) – y?." as Problem 18: A student answers a homework question "Find follows.…

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Q: 7. Solve the following Cauchy-Euler equation d'y - 4y = 0. dx - %3D dx

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Q: 2-(3%3-6%y)dx-(322+2y)dyso 3-(2%y%+siny)dx+(43y²+žcosy)dyso,

A: we given some differential equation . As per our guidelines I can only solve first question or first…

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A: Consider the given:  Graph the limcons:r=2+cosθThere are four basic shapes:r=a±bcosθr=a±bsinθ

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A: Given: The Goursat problem, utt=4uxx, -2t<x<2t,t>0 u=tan-1x on x+2t=0, x<0 u=xx+3 on…

Q: If S fex) cos cmx) dx = I and %3D fox) coscn'x) then %3D n3 +!

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Q: Match the graph to the equation. I T 37 47 5n 67 7n 8n 9n 10n11n 12n -1 -2 -3 -4 -5 O y = 4 cos - 1…

A: At  θ = 7π y = 4 cos (θ/4) - 1  y = 4 cos (7π/4) - 1 y = 1.82 which satisfy the graph value of y

Q: Question 25 dy The general solution of the DE dx cos²y is %3D A y= cos(x) + C

A: Given:- dy/dx= cos2(y)  To find:- General solution of given differential equation

Q: Match the equation to the graph. y 2 sin 30 - 1 %3D Sn / 3n 7n 21 4.

A: y=2sin3θ-1Use the form  a sin ( b x − c ) + d  to find the variables used to find the amplitude,…

Q: C) Find a z and of xy" ay (xy2) - -군3 COs %3D

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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: Problem: dz dz аnd ду Find Əx 1. Z z = 4ex²y3 xy 2. x2+y? ,5,4 3. 2 = cos (x³y^)

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Q: Question 3 Differentiate: y = arccot (x)+ arctan 01 O (E) None of these Ⓒ2x O 1-2x O < Previous 1-2z

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Q: @ Sahe the wibrating hring problem. uco,E) = u(#,t)=0, u(x,o) = $in (2x) + sin (3x). Uelx,0) =…

A: In the given question we have to solve the given wave equation. Concept: The given wave equation is…

Q: FIND Y(s) OF THE GIVEN EQUATION. y" + 4y = cos(t-3)+4t, y" - 6y + 15y = 2 sin(3t), y(3)=0_y' (3)=7 y…

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Q: 1/4 16) y tan-14y dy (Give your answer in exact form.)

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

Q: 4 4 || y² cos(xy) dydæ

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Q: 7. [2x + y cos (xy)] dx + x cos (xy) dy = 0

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Q: Match the graphs with their equations. Justify your answer. 1) z = sin(ry), 2) z = sin(x - y), 3) z…

A: We have to match the curves with their graphs. As per policy, we are solving the first three parts,…

Q: Graph the nephroid of Freeth: r = 1 + 2 sinu/2

A: This graph has period: We try to find x and y coordinates for this graph. theta x y 0 1 0…

Q: Ev 2 x 2 [x²z dx - yx² dy + 2 dz along the curve C'shown in the figure. AZ 2

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Q: rl+cos(@) 3 6. Evaluate: 4r dz dr do 0.

A: We need to solve this cylindrical system

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: Show that the tollawiny ey uation has a solution 9(4) 5.t lim y 4)=9 そ-3 I y't (cos?t) y't (sin t) y…

A: Given equation is y''+cos2ty'+sinty=0 It is a homogeneous differential equation of second order. The…

Q: Solve the following higher order PDES (b) (3Dx + Dy -1) (2Dx - 3Dy + 2) (Dx + 4Dy – 3) z = sin (2x +…

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Q: 9) L' A) reflection across the x-axis B) reflection across x -1 C) reflection across y = 1 D)…

A: The triangle JKL is transformed into the triangle J'K'L'

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: 7. Find the length of the curve: r = 1 + cos 0

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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: 42 26 1.1 2) Graph by hand y = 4cos (=) %3D Amplitude: 4 RnythaE Period: 4t Quarter Period: Start:…

A: (2) It is given that, y=4cosx2   It is known that if f(x) has period P then, f(ax+b) has period…

Q: Solve the following problem = 0; (x, y) E (0, 1) × (0,1), + u(0, y) = u(x, 0) = u(1,y) = 0, и(т, 1)…

A: In this question, we have to solve the Laplace equation by separation of the variable.

Q: Solve the tollowing problems. 2. 2x°cos 5y+ x tan5y dy=0

A: Introduction: Separation of variables (also known as the Fourier method) is one of several methods…

Q: 2 Without using technology, sketch the graphs of the following for 0°<x < 360 a y = sin æ + 1 90 180…

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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: Find the solution to the following Bernoulli's equations. 1. y3 sec x dx - y tan x dx = dy

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Q: By about how much will h(x, y, z) = cos (paixy) + xz2 change if the point P(x, y, z) moves from…

A: The given function is,