Year 12s: what will be the first way you research your future options? >>

Year 12s: what will be the first way you research your future options? >>

Year 12s: what will be the first way you research your future options? >>

I hate these type of Q's....

how would you go about doing the following:

Two quantities, x and θ, vary with time and are related by the equation
x = 5sinθ - 4cosθ

i) find the value of x when θ = pi/2 (thats easy, just subst in the above)

ii) when θ = pi/2, its rate of increase (in suitable units) is given by dθ/dt = 0.1
show that at that moment dx/dt = 0.4

how would you go about doing the second part of the question.

thanks for your help guys, much appreciated.

x = 5sinθ - 4cosθ
dx/dt = 5cos@ d@/dt + 4sin@ d@/dt
dx/dt = 5 cos (pi/2) . 0.1 + 4 sin(pi/2) 0.1 = 0.4 Q.E.D.

OP

yazan_l

x = 5sinθ - 4cosθ
dx/dt = 5cos@ d@/dt + 4sin@ d@/dt
dx/dt = 5 cos (pi/2) . 0.1 + 4 sin(pi/2) 0.1 = 0.4 Q.E.D.

thanks

:smile:

glad to help

Latest

Trending

Trending

Articles for you

Five ways you can get disqualified from an exam without actually cheating

Five ways you can get disqualified from an exam without actually cheating

63 things students wish they had known about university

63 things students wish they had known about university

What is an LLM and how could it benefit your career?

What is an LLM and how could it benefit your career?

Powerful questions business students forget to ask their career advisers

Powerful questions business students forget to ask their career advisers