Identify the factor that generates the periodic nature

Assignment Help Mathematics

Reference no: EM132363418

Assignment

1. Find the derivative of the following functions.

ƒ(x)=(lnx)^x

(x)=x⁴ 3^(-2x)

ƒ(x)=(sinx+cosx)/(sinx-cosx)

ƒ(x)=2^cosx

ƒ(x)=cot?(1/x)

ƒ(x)=sin?(x³-x)

2. Find the point where the tangent line to the curve ƒ(x)=x²lnx is horizontal

3. The voltage of the power supply in an AC-DC coupled circuit is given by the function V(t)=130sin5t+18, where t is time, in seconds, and V is the voltage, in volts, at time t.

a) Find the maximum and minimum voltages and the times at which they occur.

b) Determine the period, T, in seconds, the frequency, f, in hertz, and the amplitude, A, in volts, for this signal.

4. If =tan?x ,show that the relation y'=1+tan²x.

5. The motion of the shock absorber is modelled by the function,

h(t)=e^(-0.5t) sint.

a) Identify the factor that generates the periodic nature of the graph.

b) Identify the damping factor that causes the amplitude to diminish over time.

c) What is the impact if the damping factor is set equal to one?

6. Sketchy=xe^(-x).

First derivative

Sign Chart for

Sign Chart for f"(x)

Inflection points

Local Extrema points

Graph Sketching

Reference no: EM132363418

Questions Cloud

What factors influence the turnover rate of employees : Assessment item - Research Proposal Presentation. What are the factors that influence the turnover rate of employees in the hospitality industry

Calculate the fitted values for all three models : R Programming Assignment - Using matrix operations, calculate the fitted values for all three models. (No need to print out the fitted values.)

Calculate the volume of the parallelepiped spanned : A block is dragged across a floor with a force of 200N that acts at an angle of 90 degrees to the direction of displacement), over a distance of 3m.

Calculate an ICT carbon footprint for a department : ICTSUS601 Integrate Sustainability in ICT Planning and Design Projects Assignment, Abbey College Australia. Calculate an ICT carbon footprint for a department

Identify the factor that generates the periodic nature : Find the maximum and minimum voltages and the times at which they occur. Identify the factor that generates the periodic nature of the graph.

How would you use normal vectors to identify configuration : Solve one questions about intersection of the plane and then you will make a model of intersection of planes. How would you use normal vectors to identify.

What percentage of observations have missing data : POL-SOC 1041-Count the number of observations with any missing data. What percentage of observations have missing data?

Calculate the probability of selecting a family : QBM117 Business Statistics Assignment, Charles Sturt University, Australia. Calculate the probability of selecting a family

Ethics of the academy of criminal justice sciences : Consider how you would address this ethical issue using ethical standards from the Code of Ethics of the Academy of Criminal Justice Sciences (ACJS).

User Account

All Pages