Assignment:
Q1) Differentiate the equations a) y=8/5xsquared b) y=4cosX - 3ex
Q2)The formula C=60=t3/12 This equation refers to a machine in a workshop. This machine costs £C to lease each week according to the formula and t is the number of hours per week worked by the machine. The rate of increase of cost during the week is given by dC/dt.
a) Find a general expression for dC/dt.
b) Use your expression to calculate after how many hours (t) the rate of increase of cost exceeds £1:50
Q3) Integrate the following equations y = - 2/square route of x3 and Y = x8 + x8/x8
Q4) s = 18 - 2t + 3.5t3 s = distance and t = seconds
1) Find the equation for the acceleration, dv/dt of the body
Q5) Using you equation from above find the acceleration of that body in m/s2 after the time 39.5 sec.
Provide complete and step by step solution for the question and show calculations and use formulas.