The different loul equaticn 5. %3D can be wntten in He torw n He tor m MX, y)dn t N(x,4) dy =0 Find MCx,;y) and N(x,y) and Cleonien

Q: The differ en tial equation yʻz + 2y'e* = 0 is (a) linear (b) separable (c) homogeneous (d) exact

A: The given differential equation is: y4x+2y'ex=0

Q: So lve the di fferential equation dy + y - ecos x = 0,0 s x s0.5, y (0) = 0 by (a) Milne's me thod…

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Q: Which of (a)–(c) is not equal to s(x, y, z) dz dy dx? IIT ra, y. 2) dy dx dz (a) 13 III ra,y. z) dz…

A: Explanation: Given that,  ∫01∫34∫67f(x,y,z)dzdydx   Concept Used: In ∫ba∫cd∫efg(x,y,z)dxdydzlimit…

Q: Given a level suface 4x2y2 + 5xy = 4 with y = y(x). Find! dy at the point (3, 2). Give your answer…

A: A detailed solution is given below

Q: wnich of the followi ng functrons is homogeneous? 5x - 12メy ty? Po.) sm xy Ci) eln xy 2

A: To find which of the following function is a homogeneous function. A)fx, y=5x3-12xy+y3B)fx,…

Q: Find (∂z)/(∂s) and (∂z)/(∂t), given: (d) z = sin (4x + 5y); x = s + t, y = s - t

A: Given that, z=sin4x+5y ; x=s+t ; y=s-t Then we get, z=sin4s+t+5s-t⇒z=sin4s+4t+5s-5t⇒z=sin9s-t

Q: 5 Considor the inter ral I= i) Estimate I using n=4 trapezids. = -3 2) Estimste I using Simpson's…

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Q: and y = - V 8) Let ze, where x = √uv and Find dz dy in terms of u and v.

A: Given: z=ex2y x=uv y=1v To find dzdv in terms of u and v

Q: Given dy dy dz² +2 + 5y = e dr and y(0) = 0 and = 0 find the value of y(0.1) and y'(0.1) using the…

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Q: 3. y = 1+Vx eğrisi, y = 3 – x doğrusu ve eksenler arasında kalan bölgenin koordinat düzleminin 1.…

A: Given the curve y=1+x, and the line y=3-x. Find the area between the curve, line  and bounded by the…

Q: riable t. If 2sin (x)+4cos(y)=3a dy and dt 3, what is the val

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Q: The bending moment, M, varies with distance, x, from one end of a beam according to: 1 wx2 + C1x +…

A: From the given equation. M=-12wx2+c1x+c2    ....1

Q: Fined Fhe boundled by Ahe Cure area 2. x+Y= 3 %3D -33-j` and ど= %3D Ans wer

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Q: 1 Evaluate dV, where E lies between the spheres a? + y? + z? = 16 and x2 + y2 + z2 = 64 in the first…

A: The region E lies between the spheres: x2+y2+z2=16  and  x2+y2+z2=64  in first octant.

Q: Given z = 14 In(t) and y= 196 t then find dy %3D dx dy ||

A: Given a parametric equation:                                    x = f(t) , y = g(t)  the first…

Q: When the radius r of a sphere increases with time t, the change in area dA is dt Оа. 4 3 O b. dr 8n…

A: We will find the change in area with time as following.

Q: Find dey -. The initil dx² condition Xo=0i y=10, %%=5&h=,by using yro1), given Runge -Kutta method…

A: Given second order differential equation is d2ydx2=y3                  (1) with initial condition…

Q: Given f(x, y) = sin(x + y) where z s3t0, y = 3s – 6t. Find T = f.(z(s, t), y(s, t)) = f:(x(s, t),…

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Q: 1. Evaluate SSSE z dV where E lies between the spheres x2 + y? + 2² = 1 and a? + y² + z² = 4 in the…

A: Given, ∫∫∫EzdV where E lies between the spheres x2+y2+z2=1 and x2+y2+z2=4 in the first octant.

Q: 3. E bölgesi y =| x ve y = 4 doğruları tarafından sınırlandırılan bölge olmak üzere | eu" sin(x³) dA…

A: Please see the explanation below....

Q: A=LDU where D-) then the humber of special solubion s bo Ax =0 is equal a-1/b.e/c.2/d.camt be deubie…

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

Q: Given a+ yx = e¥ , what is 1-y dy dz 1+y dy 1+y dz 1+y el-I

A: Given equation is x+yx=ey We have to differentiate the given equation. To differentiate given…

Q: auchy - Goursát heorem to show that dz = 0 %3D 22 + 5z + 6 Cia tho girelo Lel hoth diroction

A: In this question, concept of Cauchy Goursat Theorem is applied. Cauchy Goursat Theorem If a function…

Q: Obtain ∫C  ez / (z - πi) dz with C defined as z(t) = 4eit and 0 ≤ t ≤ 2π

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Q: Under a change of variables z = u°/3, y = v²/2 , the infinitesimal element of area dædy becomes 6uv…

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Q: . Evaluate ſſ,G(r)dA where G(r, y, 2) = arctan(y/x) and S is given by z = x² + y², with z< 9, r 2 0,…

A: According to the given information, it is required to evaluate the integral.

Q: 1 Evaluate dV, where E lies between the spheres x + y + z = 16 and + y? + z2 = 64 in the first…

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Q: | eョで)) dV=

A: Given:              ∭Dex2+y2+z232dv        d is the region in the first octant between spheres…

Q: Given: re + In(x - y) xe*? Find dy/dx. 2ry(z=y)+z* 1+(z=v}(2»² +1)e| dy dr 2r(z-y)-z1z…

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Q: Let ry w = and a = 2s + t, y = st, z = 2s - t dw dw Find ds' at

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Q: Find the temperature u (xjt). in a bar of Length t which is perfectly insulated everywhere including…

A: temperature distribution u(x,t), follow the partial differential equationdudt = d2udx2   ,…

Q: For z + y, lim ()(1,1) Va - A. 0 В. 2 C.1 D. Does not exist.

A: This is simple question can be solve by rationalising the given function Solution is given below

Q: 1. Evaluate ff. y dS where S is the portion of the cylinder 4x2 + 2y2 = 16 that lies between z = 0…

A: Since you have asked for a question with multiple sub-parts, we will solve the first question for…

Q: MLx,y) dx +x(x,g) dy. 1 chek the Coudi'tied deu Jy dx ® intey.coke MWirit X reyarding y as coustunt.…

A: SOLUTION

Q: Given: dyldx = (x^2 + y^2) / xy. What is the degree of the homogeneous DE? The given DE is not…

A: We have to solve

Q: 10- Evaluate JJI where E is the region that lies inside the cylinder Vx2 + y?dV E x? + y? = = 16 and…

A: Here we use polar coordinate and Jacobian .

Q: 6. If KM = 52 and NL = 33, find LM. %3D %3D K L. J N: M

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Q: Upon multiplication by -3x-4 and using the substitution Z= X¯³, dz= - 3x-4dx, the Bernoulli's DE dx…

A: To find the equation obtained by multiplication of -3x-4 and using the substitution, z=x-3,…

Q: The shaded area shown in (Figure 1) is bounded by y axis and the curve y? = (1.44 – x) m, where z is…

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Q: 9. xy sin yz dV, where G is the rectangular box defined by the inequalities 0 <x< T, 0 < y< 1,0 < z…

A: Given information: The integral is ∬∫xysinyzdV and the region is bounded by the rectangular box…

Q: Upon multiplication by -3x-" and using the substitution 2= x-³, dz = - 3x~4dx, the Bernoulli's DE dx…

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Q: 1. Evaluate ſſ, y dS where S is the portion of the cylinder 4x² + 2y² = 16 %3D that lies between z =…

A: Given S is portion of cylinder 4x2+2y2=16 that lies between z=0 and z=7. Parametrize the surface s.…

Q: lx)にX sit. ors<I prove that inl Guernesto uniterady. Guveryes to

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Q: ürkçe: f(x, y) = 4 + x° + y° – 9xy fonksiyonunun yerel ninimum değerini bulunuz.

A: Please refer to the image below

Q: 1 SI. Evaluate dV, where E lies between the spheres x2 + y? + z? a2 + y? + z2 = 1 and æ? + y? + z²…

A: According to bartleby guidelines when student post more than one question then expert must have to…

Q: Use methed of Cardinates to Solve PDE du t 37gu = o (32² +81y -3y) for V 64) E R for Y te B with the…

A: We will use the approach of the method you mentioned.

Q: dy The D.E. y2 – a? - can be classified as %3D dæ (A) First-order linear (B) Separable (C)…

A: We break this into simplier form then identify it's property.

Q: Find the Sof (x, y,z)dV A. Q = {(x, y, z)|(x+y² +z 4 and z = x+y, f(x,y2) = x+y} B. Q= {(x, y, z) (x…

A: We will use the basic knowledge of integral calculus to answer this question correctly and…

Q: Given z = 10 In(t) and y = 100 t² then find %3D dy da d'y da2

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