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(a) J(X1, X2) X1X2 + 2X1 (b) g(x₁,x₂) = x1 + x2 sin 2x1 (c) h(x,y) = re* +2 tỷ (d) f(s, t) = (1+2s² + t²) (e) g(0,4)= cos(0 - 34) (f) f(x, y) = x¹, x>0 (g) g(X1, X2, X3) = X1X2X3 (h) u(x, y, z) = xye³+² +5 (i) v(x, y, z) = ln(x² + y² + z² + 3) (j) p(r, 0, y) = r sin cosy. 2. Compute all the second partial derivatives of the functions in Exercise 1.

(a) J(X1, X2) X1X2 + 2X1 (b) g(x₁,x₂) = x1 + x2 sin 2x1 (c) h(x,y) = re* +2 tỷ (d) f(s, t) = (1+2s² + t²) (e) g(0,4)= cos(0 - 34) (f) f(x, y) = x¹, x>0 (g) g(X1, X2, X3) = X1X2X3 (h) u(x, y, z) = xye³+² +5 (i) v(x, y, z) = ln(x² + y² + z² + 3) (j) p(r, 0, y) = r sin cosy. 2. Compute all the second partial derivatives of the functions in Exercise 1.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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(a) f(x₁, x₂) = x₁x² + 2x₁ −7 (b) g(x₁, x₂) = = x1 + x₂ sin 2x1 (c) h(x,y) = xex+2y + y² (d) f(s, t) = (1+2s² + t²) (e) g(0, y) = cos(0 - 34) (f) f(x, y) = x¹, x>0 (g) g(x1, X2, X3) = X1 X2 X3 (h) u(x, y, z) = xye³+² +5 (i) v(x, y, z) = ln(x² + y² + z² + 3) (j) p(r, 0, y) = r sin cos . 2. Compute all the second partial derivatives of the functions in Exercise 1.
Transcribed Image Text:(a) f(x₁, x₂) = x₁x² + 2x₁ −7 (b) g(x₁, x₂) = = x1 + x₂ sin 2x1 (c) h(x,y) = xex+2y + y² (d) f(s, t) = (1+2s² + t²) (e) g(0, y) = cos(0 - 34) (f) f(x, y) = x¹, x>0 (g) g(x1, X2, X3) = X1 X2 X3 (h) u(x, y, z) = xye³+² +5 (i) v(x, y, z) = ln(x² + y² + z² + 3) (j) p(r, 0, y) = r sin cos . 2. Compute all the second partial derivatives of the functions in Exercise 1.
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