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How do you solve problem 15?

How do you solve problem 15?

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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How do you solve problem 15?
X P 4.2: Antiderivatives as Areas ttps://plus.pearson.com/courses/triebold41691/products/144553/pages/386?locale=&platformId=1030&iesCode..... X P Page 363 Find the indicated rate. 1. Given y = x³, find dy/dt when x = 2 and dx/dt = -4. 2. Given y = x, find dy/dt when x = 3 and dx/dt = 1.5. 3. Given y = 2x² + x, find dy/dt when x = -3 and dx/dt = 2. 4. Given y=-3x² + 2x, find dy/dt when x = -2 and dx/dt = 6. 5. Given y = 2x³, find dx/dt when x = 1 and dy/dt = 10. 6. Given y = 4x², find dx/dt when x = 5 and dy/dt = -3. 7. Given y = x - x*, find dx/dt when x = 2 and dy/dt = -5. 3 8. Given y = 5x - x2, find dx/dt when x = -2 and dy/dt = 2.5. E 9. Given y = 2x+1, find dy/dt when x = 4 and dx/dt = 0.5. 10. Given y = el-3x, find dy/dt when x = 2 and dx/dt = 1 3° 11. Given y = In x, find dy/dt when x = -9 and $ 4 R O Chapter 3: Applications of Differentiation 1' % 5 6 TY & 7 ◄ fo 4+ * 00 8 15. Given y = pq, find dp/dt when p = 30, q = 250, da/dt = -200, and dy/dt = -5250. X P Pearson+ 16. Given y = pq, find da/dt when p = 150, q = 75, dp/dt = 60, and dy/dt = 7500. 17. Given y = pq, find da/dt when p = 15, q = 40, dp/dt = 55, and dy/dt = 54,750. 18. Given y = pq³, find dp/dt when p = 80, q = 135, dq/dt = -5, and dy/dt = 7,654,500. 19. Given a²b² + 2², where a ≥ 0, b≥ 0, and c≥ 0, find da/dt when a = 13, b = 12, db/dt = 0.25, and dc/dt = 2. 364 20. Given a² = b²+2, where a ≥ 0, b≥ 0, and c≥ 0, find dc/dt when b = 7, c = 24, db/dt = 3, and da/dt = 0.84. 0 Use geometry and implicit differentiation to find the unknown rate. 21. A circle is shrinking, losing 15 cm² of area per minute. 19 144 ( A 9 x | + ho ) O fo 112 + insert prt sc ← backspace
Transcribed Image Text:X P 4.2: Antiderivatives as Areas ttps://plus.pearson.com/courses/triebold41691/products/144553/pages/386?locale=&platformId=1030&iesCode..... X P Page 363 Find the indicated rate. 1. Given y = x³, find dy/dt when x = 2 and dx/dt = -4. 2. Given y = x, find dy/dt when x = 3 and dx/dt = 1.5. 3. Given y = 2x² + x, find dy/dt when x = -3 and dx/dt = 2. 4. Given y=-3x² + 2x, find dy/dt when x = -2 and dx/dt = 6. 5. Given y = 2x³, find dx/dt when x = 1 and dy/dt = 10. 6. Given y = 4x², find dx/dt when x = 5 and dy/dt = -3. 7. Given y = x - x*, find dx/dt when x = 2 and dy/dt = -5. 3 8. Given y = 5x - x2, find dx/dt when x = -2 and dy/dt = 2.5. E 9. Given y = 2x+1, find dy/dt when x = 4 and dx/dt = 0.5. 10. Given y = el-3x, find dy/dt when x = 2 and dx/dt = 1 3° 11. Given y = In x, find dy/dt when x = -9 and $ 4 R O Chapter 3: Applications of Differentiation 1' % 5 6 TY & 7 ◄ fo 4+ * 00 8 15. Given y = pq, find dp/dt when p = 30, q = 250, da/dt = -200, and dy/dt = -5250. X P Pearson+ 16. Given y = pq, find da/dt when p = 150, q = 75, dp/dt = 60, and dy/dt = 7500. 17. Given y = pq, find da/dt when p = 15, q = 40, dp/dt = 55, and dy/dt = 54,750. 18. Given y = pq³, find dp/dt when p = 80, q = 135, dq/dt = -5, and dy/dt = 7,654,500. 19. Given a²b² + 2², where a ≥ 0, b≥ 0, and c≥ 0, find da/dt when a = 13, b = 12, db/dt = 0.25, and dc/dt = 2. 364 20. Given a² = b²+2, where a ≥ 0, b≥ 0, and c≥ 0, find dc/dt when b = 7, c = 24, db/dt = 3, and da/dt = 0.84. 0 Use geometry and implicit differentiation to find the unknown rate. 21. A circle is shrinking, losing 15 cm² of area per minute. 19 144 ( A 9 x | + ho ) O fo 112 + insert prt sc ← backspace
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