Questions asked by Jacq
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How to integrate 1/(1+sinx)?

Show that the function #y=1/(1+tanx)# is decreasing for all values of #x#?

Trigonometric Functions Question (Area underneath a curve). Help please?

Approximate Solutions of Equations Question?

Trig and Integration help please?

A goat grazes a rectangular paddock 10 metres by 20 metres. It is tethered to the fence at one corner of the paddock by an inextensible rope of length #x# metres, where #10<x<20#? (More in 'details' section).

I received an email saying that one of my questions had been answered, but when I went to look at the question, it had no answer?

Using Newton's method, a root of #x^3+3x+7=0# correct to one decimal place is:
A. x=1.6
B. x=1.5
C. x=1.4
D. x=1.3
Help please?

Would #Im(z)=4# be plotted on the xaxis or yaxis?

Show that #(n+2)!+(n+1)!+n!##=n!(n+2)^2# ?

Find #n# if #""^nP_3=20n#?

Complex numbers question. Help please?

From a pack of 9 cards numbered 19, three cards are drawn at random and laid on a table from left to right. What is the probability that the digits are drawn in descending order?

Three Greeks, three Americans and three Italians are seated at random around a round table. What is the probability that the people in the three groups are seated together?

Twelve students sit around a circular table. Let three of the students be #A#, #B# and #C#. Find the probability that #A# does not sit next to either #B# or #C#?

The normal #(2ap, ap^2)# to the parabola #x^2=4ay# meets the curve again at #Q(2aq, aq^2)#?

#P# is a point on the parabola #x=t#, #y=t^2/2#. #A(4,1)# is a fixed point. As #P# varies, find the minimum distance of #P# from #A# and prove that for this position of #P#, #AP# is normal to the parabola?

Barbara and John and six other people go through a doorway one at a time. Find the number of ways in which the eight people can go through the doorway if John goes through the doorway after Barbara?

Find the equation of the tangent to the curve #y=ln(3x2) + 4# at the point where #x=1#?

#y=x^2e^(x)# has a maximum turning point at #A(2,4/e^2)#. The equation #x^2e^(x)2=0# has 3 real, distinct roots. What are the possible values of #k#?

Find the Cartesian equation of the locus of #arg((z4)/(z+4))=pi/4#?

Prove #((1 + cos2 x + i sin2 x)/(1 + cos2 x  i sin2 x))^n=cos2nx+isin2nx#?

Evaluate #lim_(x>0)(1cosx)/x^2#?

#d/dx(tan^(1)2x)=2/(4x^2+1)#. Why is there a #2# in the numerator?

Prove #(1+sinx+icosx)/(1+sinxicosx)=sinx+icosx#?

Let #z=a+ib#, where #a# and #b# are real. If #z/(zi)# is real, show that #z# is imaginary or #0#. Help?