Find the equation of the tangent plane to the surface In(x³ + y³ + z³) = x²z+1 at the point (1, 1, −1).

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Q: 19. ſ² z² In z dz 0

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A: f'(x)=-8x2+1f(0)=1∫xndx=xn+1n+1+c

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Q: 16 Find the critical points of the function h (x) = x + and classify them as either local maxima or…

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Q: y = In(5x), y = 1, y = 4, x = 0; Sketch the region. 3 1

A: As mentioned we have to only sketch the graph based pn given boundations.

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Q: Derivatives inverse thank you

A: Here we have to find the tangent line.

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Q: Find: U(x1, x2) = 2X1X2 O X1X2 2x1 2 2x2

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Q: 2) Find the derivative of the function f(x) = *³-2x x²

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Q: Find dy/dx by implicit differentiation. x sin(y) + y sin(x) = 5 y' =

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Q: 2 An object is moving with a uniform acceleration a = 2ms-², determine the functions for: a)…

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Q: If ƒ(x) = 5 + 4x − 5x², find ƒ'(0).

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Q: Also solve: The equation of the tangent line is y=?

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Q: 4. Use the following table to answer the questions. g'(x) -3 2.5 f(x) g(x) f'(x) 9 6 5 4 2 1 -2 (a)…

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Q: Suppose f(x) = x³ + 6x-404. A root exists between x = 7✔ 7 and x = 88 (Enter consecutive integers,…

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Q: Use the first derivative to find all critical points and use the second derivative to find all…

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Q: 5-6 Find the area of the shaded region. 5. y = x³ - 3x (-2, 2) YA 0 (2, 2) y = x X

A: Application of integration

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Q: In R³ you are given the vectors a = (21,-9, -21,-4) b = (x, -35, -16, -23) Choose a such that b…

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Q: Find u from the differential equation and initial condition. du dt _____ el.8t-2.3u, u (0) = 3.7.

A: dudt=e1.8t-2.3u   given  u(0)=3.7

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