Find the point P(x, y, z) at which the paraboloid has a tangent plane parallel to the plane (x, y, z) = y = 3x² + ₂2 5x+6y+z= 4.

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Q: Using the inner product (, ) : C( [0, 1] ) × C'( [0, 1] ) → R, (f, g) = √ 5 3 2 2 • ( ²2 ( - - ² ),…

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A: Given, The function  f(x,y) = 2x2-2x+4y+5y2   We have to find the critical point of the function.

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Q: (6) Use the series representation of the function to approximate the integral with € < 10-4. Hint:…

A: (6). (a) Given the integral is                                     ∫01e-x2dx.

Q: Find [₁²² x²dA where R = {(x, y) | 4x² +9y² < 36} Question Help: Video

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A: Given, The commutator X,Y of two matrices is defined by the equation X,Y = XY-YX. A2 = I, B2 = I,…

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Q: Determine the Fourier series for the following periodic function. -1 < t < 0 0<t <1 (0, f(t) = {₁…

A: Fourier series for the periodic function

Q: 7.1.8. Explain why the eigenvalues of A*A and AA* are real and nonneg- ative for every A Cmxn. Hint:…

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Q: Find the motion of the mass-spring system modeled by the ODE and initial conditions. y" +26y' +168y…

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Q: (8(²x-4))-¹. √√16(3x²) 2(-x+1) = (***Note: calculation or explanation.***) 32(2x+3) 2(-15) 3 A)…

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Q: (5) Determine the degree of the Maclaurin polynomial required to approximate the value of the…

A: (5) (a)  we know that the Maclaurin's polynomial of  fx = cos(x) is              Error formula in…

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Q: +x +2 2/3 +y

A: Answer :- Plane A=&gt;  cuts x axis at =&gt; 2/3 y axis at =&gt;    -1 z axis at =&gt;    1/2

Q: Refer to the following piecewise function. if x ≤ -2 - {²+ if x>-2 ƒ(x) = f(-3) = f(3) = +2x+1,…

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Q: How many liters each of a 25 % acid solution and a 45 % acid solution must be used to produce 70…

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Q: 2. Numerical Methods. Using h = 0.2, approximate the value of y (3) for the given differential…

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Q: V5    Use the Laplace transform to solve:   y′′ − 2y′ + y = t2δ(t − 3)   y(0) = 0

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Q: A cost function is given. C(q) = 3900 + 6q-0.01q2 + 0.0003q³ (a) Find the average cost and marginal…

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Q: Problem #1: Problem #1: Use Stokes' Theorem to evaluate fo F dr where F = (x+7z)i + (3x+y)j + (2y -…

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Q: QUESTION 4 a) Let (27¹) Calculate the products A. B and B. A, and the determinant det (A). b)…

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Q: A basketball team sells tickets that cost $10, $20, or, for VIP seats, $30. The team has sold 3205…

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