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3. A 2 cm long metal wire with thermal diffusivity ² = 4cm² s¹ is used to conduct heat in a machine between a number of components. The ends of the wire are held at a constant temperature of 0°C. At time t = 0, the temperature of a point x cm from the leftmost end of the wire is given by f(x), where 50 sin 2x 0≤x≤T 10 π < x≤ 2π Find the function u(x, t) that describes the temperature in Celsius of a point x cm from the left most end of the wire after t seconds.

3. A 2 cm long metal wire with thermal diffusivity ² = 4cm² s¹ is used to conduct heat in a machine between a number of components. The ends of the wire are held at a constant temperature of 0°C. At time t = 0, the temperature of a point x cm from the leftmost end of the wire is given by f(x), where 50 sin 2x 0≤x≤T 10 π < x≤ 2π Find the function u(x, t) that describes the temperature in Celsius of a point x cm from the left most end of the wire after t seconds.

Intermediate Algebra
Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter8: Conic Sections
Section8.2: More Parabolas And Some Circles
Problem 63.1PS
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4cms is used to conduct 3. A 2π cm long metal wire with thermal diffusivity a² heat in a machine between a number of components. The ends of the wire are held at a constant temperature of 0°C. At time t = 0, the temperature of a point x cm from the leftmost end of the wire is given by f(x), where 50 sin 2x 0≤x≤T 10 π < x < 2π Find the function u(x, t) that describes the temperature in Celsius of a point x cm from the left most end of the wire after t seconds.
Transcribed Image Text:4cms is used to conduct 3. A 2π cm long metal wire with thermal diffusivity a² heat in a machine between a number of components. The ends of the wire are held at a constant temperature of 0°C. At time t = 0, the temperature of a point x cm from the leftmost end of the wire is given by f(x), where 50 sin 2x 0≤x≤T 10 π < x < 2π Find the function u(x, t) that describes the temperature in Celsius of a point x cm from the left most end of the wire after t seconds.
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