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(i)Show that Un E I.
(ii) Show that for all n E N, we have ㅣU(n+1) - sㅣ <= 1/4ㅣUn - sㅣ Where s Eb(1/4, 1/2)
(i)Show that if x E I, then f(x) E I. Where E represents "an element of".
(ii) Calculate f''(x), hence show that if x E I, thenㅣ f'(x)ㅣ<= 1/4.
(iii) Deduce that if x E I, then ㅣf(x) - sㅣ<= 1/4 ㅣx - sㅣ
s E (1/4, 1/2).
(i) Draw tge variation table of g.
(ii) Show that the equation f(x) = x admits a unique solution a E ( 1/4 , 1/2 ) where E represents "an element of".
(i) Draw the variation table of f and sketch its representative curve.
(ii) Show that the point I(0, 1/2) is the center of symmetry of the curve of f.
(i) write an expression for r(dx/dt) in terms of x.
(ii) Show that dr/dt = 4cosx and 1/3 <=r<=1.
(iii) Find the speed of P when x = 0.
(iv) Prove that the force acting on P is directed towards the pole.
Find dy/dx and d²y/dx² without eliminating the parameter.
a.) x= t^2 e^t , y= t In(t)
Hello I need answers, solution and further explanation with regards to these problems, I hope you'll be able to help me again, I really had a hard time solving these.
A. Find the least positive and the greatest negative coterminal angles of the following angle measures.
1. -25 degree
2. 110 degree
3.11pie/6 radians
4. -5 pie/4 radians
B. Find the angle between 0 degree and 360 degree (if in degrees) or between 0 rad and 2pie rad (if in radians) that is coterminal with the given angle.
5. -420 degree
6. 5pie/4 radians
7. 60 degree
C. Find the angle between -360degree and 0 degree (if in degrees) or between -2pie rad and 0 rad (if in radians ) that is coterminal with the given angle.
8. 150 degree
9. -11 pie/6 radians
10.-45 degree
#340153 on Dec 2023