Find $\frac { d ^ { 2 } y } { d x ^ { 2 } }$

question 33

Short Answer

Find $\frac { d ^ { 2 } y } { d x ^ { 2 } }$
$$x = 5 + t ^ { 2 } , y = t - t ^ { 3 }$$

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Definitions:

Solenoid Coil

An electromagnetic coil used to convert electrical energy into linear motion, often used in valves or as actuating mechanisms.

Operating Variables

Factors that can be adjusted or varied during the operation of a machine, system, or process, affecting its performance or outcome.

Fast Adaptive Mode

High-speed processing algorithms; Allison uses this term to describe an operating condition in which large changes are made to initial shift conditions to adjust for major system tolerances such as solenoid-to-solenoid, main pressure, and clutch-to-clutch variations. A new or newly rebuilt transmission should be programmed to operate in fast adaptive mode.

Close-ratio Gearing

A transmission design where the gear ratios are closer together, allowing the engine to operate more consistently near its optimal RPM for performance.