D’(D² – 4)y = 3x+ 2e¬3* | y = 3x + 2e¬3x m° – 5 - 4m³ = 0 ® m' (m2 – 4) = 3x+2e-3* D (D² - 4) = 0 3 |

Q: 5. Find the directional derivative of f(x, y) = xy – y at the point (1, 2) along the unit vector…

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Q: z= f(x,y) ; x= r-s1 , y= r2s and zx(0,-1) = -24 ; If zx(0,-1)=-18, what is the value of the…

A: Given that z=f(x,y),     zx(0,-1)=-24 and  zy(0,-1)=-18x=r-s and y=r2s We have to find zr(0,-1).

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Q: The gradient of V = x²sin(y)cos(z) at the point (1, 5,0) is إختر أحد الخيارات: 2i + j a O 7+ 25.b O…

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Q: Solve this equation: ди + a = at %3D u(0,t) = 0 %3D ди (L, t) = 0 az u(z,0) = 2 %3D

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Q: If A = yz(^2) i - 3xz(^2) j + 2xyz k , B = 3x i + 4z j - xy k and ∅= xyz , find (a) Ax (∇∅), (b)…

A: Since you posted a question with multiple sub-parts, we will solve first three sub-parts for you. To…

Q: Integrate the function f(r,y, z) = Over the entire 3D coordinate system, i.e., all of R'.

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Q: please see image

A: Taking the cues from hint in the question:

Q: L(x) = b) Use the linearization to approximate 125.1 ~

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Q: Prob3: Find the derivative of the function at P, in the direction of A f(x,y,z) = (1.0.). = cos xy +…

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Q: Substitute r = 1 into + p(z)y=f(z)y and show the result is linear. Write your answer in linear…

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Q: 4. xyzx + 2y³ (2)³ = 1 Dependent variable/s: Independent variable/s: Type: Order: Degree: Linearity:

A: Solution :  To discuss about the nature of given differential equations

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Q: Let h(r,y) = r'e. Find its linearization at the point (1,0) and use this to approximate f(2,0). %3D

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