integrate e7 x(e7 x + 3)52 dxthe actual question is ln 7.pdf

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integrate e7 x(e7 x + 3)5/2 dx the actual question is: ? ? ln 7 ln 5 e7 x(e7 x + 3)5/2 dx Solution We\'ll solve this integral using substitution technique: We\'ll substitute [e^(7x) + 3] by t. Differentiating both sides we\'ll get: [7e^(7x)dx = dt] [e^(7x)dx = dt/7] We\'ll re-write the integral: [int e^(7x)*(e^7x + 3)^(5/2)dx = int t^(5/2)dt/7] [int t^(5/2)dt/7 = t^(5/2 + 1)/(7(5/2 + 1)) + C] [int t^(5/2)dt/7 = t^(7/2)/(7*(7/2)) + C] [int e^(7x)*(e^7x + 3)^(5/2)dx = 2(e^(7x) + 3)^(7/2)/49 + C] Therefore, the requested integral of the given function is [int e^(7x)*(e^(7x)+3)^(5/2)dx = (2sqrt[(e^(7x) + 3)^7])/49 + C.].

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Introduction to embedded systems using the msp430 6. 1 Enumerate the elements of a basic microcontroller interface and indicate two major criteria for the selection of each. 6.4 Assume the system described in Problem 6.1 is lo be fed from a 4.0V. 2A00 mAh lithium battery. Estimate the expected battery life, assuming LEDs are driven dynamically at 30% duty cycle. What would be the regulator efficiency?? Determine the MCU thermal dissipation for the given loading conditions and verify if it is operating within a safe temperature range. Solution An interface is either Input device, or output device, or a storage device, or processing device. Input devices are used to provide some data to the microcontroller. e.g. Switch, 4x4 Keypad Matrix, Infrared sensor, Temperature sensor, Light Sensor etc. These devices provide some input to the microcontroller, and this input is called as data. Output devices are used to present the processed data to user or other equipment. e.g. LED, LCD, Buzzer, Relay driver, DC Motor Driver, Stepper Motor driver, 7-Segment Display etc. These devices convert the processed data to such a format, which is understandable by human or other equipment. Storage Devices are used to store the data, normally it is expected to store the data even if the power is switched off. Some of the storage devices are SD/MMC card, EEPROM, DataFlash, Real Time Clock, etc. These interfaces are used retain the data and this data can be used as and when required by the microcontroller for further processing Processing Devices are those interfaces most important as they reduce product development time and provides out of box solution. E.g. Ethernet Controller interface, USB to TTL interface, SPI to SD/MMC interface, Digital to analog module, etc. These interface circuits are flexible to connect with any microcontroller which can talk in their language (sequence of commands). A simple LED normally requires 0 or 5V to on / off. This is called as digital signal. A buzzer beep similar to LED but can be beeped even with intermediate voltage levels between 0 to 5V. This variable voltage input is called as analog signal. A temperature sensor LM35 generates analog voltage in proportion to the temperature. This analog voltage needs to be connected to Analog Port pin of a microcontroller for processing temperature data. Ethernet controller module requires SPI data format to interface with any microcontroller. SPI is a complex digital communication format. Thus every interface is unique in its interfacing standards, but they are same at par with all microcontrollers..

Introduction to embedded systems using the msp430 6. 1 Enumerate the.pdf

integrate e7 x(e7 x + 3)52 dxthe actual question is ln 7.pdf

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integrate e7 x(e7 x + 3)52 dxthe actual question is ln 7.pdf