Find the derivative of f(x, y, z) = x3 - xy2 - z at the point po (2,1,0) in the direction of vector v = 2i - 3j + 6k.

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A: According to our guidelines i can solve only one subpart.

Q: 7.1.1. Find the Fourier transform of the following functions: (a) e−(x+4)², (b) e¯\x+¹, x, |x|<1,…

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Q: Explain why the integral is improper. 49 1 dx 1.6 1.4 1.2 Y 0.81 0.6 0.4 0.2 10 20 O At least one of…

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Q: 11. Explain what Average Rate of Change and Instantaneous Rate of Change are. Use graphical diagrams…

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Q: - - simplify the following: 3(6-x) + 4(2x − (m — 2))

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Q: 4. Find the derivative of f(x) - 7. A. 7 B. 0 5. What is the derivative of In(x)? A. xln(x) B. 1/x…

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Q: Which of the following gives the Golden ratio? X x+y where xy X c. YX+Y where xy x X [^\!** d. X

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Q: Solve using Euler’s Method. Approximate up to 5 decimal places.

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Q: Question 2 (a) Evaluate the following by first reversing the order of integration. Sketch the region…

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Q: 4. Given the data below: x 1.0 1.2 1.4 1.6 1.8 2.0 f(x) 2.2183 2.6001 3.0752 3.6730 4.4296 5.3891 i.…

A: The 3-point backward formula f'(x0)≈f(x0-2h)-4f(x0-h)+3fx02h

Q: Find the differentiation and provide a complete solution a. f(x)=∛(x2-1)2

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Q: xdy + y dx 2 x²y³ dy = 0 x" yn

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Q: Q2 Solve the ODE y' = 3 x³ – 4y Using Runge- - Kutta 2nd order Method for xo= 0, yo=1, Xn=2 x₂=2 ,…

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Q: Characterize the following function in terms of notation. (a) f(n) = (n² + 2)(10n³ +5n-6)n¹, n ≥ 0.…

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Q: A group of 12 students have to decide among three types of pizza: sausage (S), mushroom (M), and…

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Q: Find the center and radius of the sphere: 3x² + 3y² + 3z² -6x - 12y + 18z + 150 O Center (1, 2, -3);…

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Q: 4. Find the Inverse Fourier transform of Te-l@l.

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Q: Approximate In 2.75 using Maclaurin expansion. (Hint: Use y = In(x + 1) for reference function.)

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Q: solve the ODE using the Method of Undetermined Coefficients. Clearly label y, and y, and then state…

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Q: 2 Find the determinant of -3 1 -3 51 6 2 -2 51

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Q: . Compute the two-dimensional divergence of the vector field. . Evaluate both integrals in Green's…

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Q: Advanced Math Consider the autonomous initial value problem X = x² + 4 a. After rearranging the ODE…

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Q: H.w1: evaluate fe* siny dx dy i) using the trapizodial rule in both direction, Ax= Ay = 0.1 ii)…

A: please comment if you need any clarification. If you find my answer useful please put thumbs up.…

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Q: solve using laplace transform ૧ . y"+y = f(t) where: (0)=0, y'(0)=1 1 0, 0≤ t 2π y

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