Here is a copy of your question.
I added a {#} in each place where there used to be more information before you posted the question, but somehow it got lost in the operation.
It's impossible to answer the question without all of this lost stuff.
One of the most astonishing applications of analytical mechanics is the study of fly motion. In this example, we work on a mosquito that crawls in a spherical path on the surface of marble of diameter ({#}) according to the following equations {#}={#} , {#}={#} (cos 4{#} + 4), {#}= 2 where {#} is constant. Find the speed of the mosquito at {#}= 0 second where {#}={#} and 8 at {#}={#} seconds. Explain with a diagram, how the motion looks like.