Find the directional derivative of ø = x² + y² + z² at point (1, 2, 1) for a direction determined by dx = 2dy = −2dz.

Q: ܒܢ J nπL s²L²+ n²π²] 22

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A: We have to find the triple integral  ∫∫∫E(x+y)dVwhere E is bounded by the parabolic cylinder y=3x2…

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A: 4. The given integral is ∫C 3x2ey2dx +2x3yey2dy where C is the semicircle x2+y2=5, y≥0 To find: the…

Q: 7. Determine which of the following functions are differentiable at all the z-plane or some region…

A: Given : (a) f(z) = x2+y2 + i 2xy            (b) f(z) = z-(2+i)2 To find :  To determine the region…

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A: Given: am,nm,n∈ℕ am,n≥0 for all m,n∈ℕ am,n is monotonous increasing for fixed m and for fixed n.…

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Q: 1) Solve b finite diffrence methed للحم + 3 = لوله

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Q: 5. Consider the equation x₁ + x₂ + x3 = 18, where 2₁, 22, and 23 are integers. How many solutions…

A: This question from number theory.

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Q: Find the Laplace transform of f(t) = t²e7t

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A: We can solve this using given information and relative error

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Q: 8. The general solution of y" + y = 2x sin x

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Q: 1. CHAIN OF REASONING: F= -E-R -S E → W RvS WV-S

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

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A: Note : As per our policy, we are allowed to answer only first part of question kindly post remaining…

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Q: Problem 9. Consider a triangle and its inscribed circle. Join each vertex with the point of tangency…

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A: a Möbius transformation of the complex plane is a rational function of the form {\displaystyle…

Q: 1.) given the systems of ODE yi = 0.5 у, - 175 уг У; - у, + 0 буг = 2 у, (0). 1 = (0) га

A: We can solve using given information

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Q: Find the LU Factorization of the following: [8 12 -4 1. A=6 5 7 L2 1 6

A: The solution is given as

Q: R(t) = Romeo's love/hate for Juliet at time t J(t) = Juliet's love/hate for Romeo at time t What…

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Q: cos 2t cos 5t S³ +29 (s²+49) (s² +9) Option 3 None of the Choices S³ + 29 (8² +49) (s²-9) Option 4 S…

A: The solution is given as

Q: How may chords are there in the figure? [1] (134°-50°1/2-42" 4AFC-134* 4EFD-50*

A: chords are the line segment whose  both end points lie on the circle.

Q: Determine the value/s of D if the graph of the equation x² + 4y² + Dx - 4y + 2 = 0 a. is an ellipse;…

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Q: Solve the differential equation using modified Euler's and 4th order RK method lnx(dy/dx) + y = cot…

A: We can solve this using 4th order RK method and

Q: Are the Following Vectors Linearly Dependent or Independent? (3,-2,0,4),(5,0,0,1),(-6,1,0,1),…

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Q: Lines L₁ = ax+by+c= 0 and L₂ = lx+my+n=0 intersect at the poi each other. Find the equation of a…

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Q: Consider y' - 2y = 3e²x with y(0) = 2. Using Runge-Kutta method with h=0.1, find the relative error…

A: We can solve this using given information and relative error

Q: 3 Só ( x + ²/1 ) ³ ax dx X

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Q: A 60° 30° Name! Section: 30 m ACTIVITY (SPECIAL RIGHT TRIANGLES) Identification: Answer the…

A: Note: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question…

Q: etch the graph of y = x² + √x + 1 and determine its concavity, extrema, and points of inflection.

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Q: Consider xy' = y(lnx-lny) with y(1) = 4. Using Runge-Kutta method with h-0.1, approximate y '(1.3).…

A: option c is correct i.e. (c) -1.92711

Q: If the angle at which the radius vector cuts the 2 √₁²- 1 a -1 a curve 0 = = - COS 1 be , ther a r…

A: As the radius vector cuts the curve at a angle of ϕ, so this angle is between the radius vector and…

Q: Find the general equation of the conic with the given properties. An ellipse with one focus at…

A: We have solve given problem:

Q: 5) Evaluate the iterated integral by converting. - to polar coordinates. a) So So √x²+y² dy dx b) √²…

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

Q: Given (1 + 3x sin y) dx - x² cos y dy=0 with y(1) = 0. Using Euler method with h=0.1, compute y'…

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Q: 2) Use o polar integral to find the area enclosed by the three - petaled rose r = singe

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