Questions asked by Jacq
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How to integrate 1/(1+sinx)?
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Show that the function y=1/(1+tanx)y=11+tanx is decreasing for all values of xx?
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Trigonometric Functions Question (Area underneath a curve). Help please?
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Approximate Solutions of Equations Question?
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Trig and Integration help please?
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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 xx metres, where 10<x<2010<x<20? (More in 'details' section).
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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?
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Using Newton's method, a root of x^3+3x+7=0x3+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?
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Would Im(z)=4Im(z)=4 be plotted on the x-axis or y-axis?
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Show that (n+2)!+(n+1)!+n!(n+2)!+(n+1)!+n!=n!(n+2)^2=n!(n+2)2 ?
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Find nn if ""^nP_3=20nnP3=20n?
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Complex numbers question. Help please?
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From a pack of 9 cards numbered 1-9, 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?
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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?
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Twelve students sit around a circular table. Let three of the students be AA, BB and CC. Find the probability that AA does not sit next to either BB or CC?
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The normal (2ap, ap^2)(2ap,ap2) to the parabola x^2=4ayx2=4ay meets the curve again at Q(2aq, aq^2)Q(2aq,aq2)?
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PP is a point on the parabola x=tx=t, y=t^2/2y=t22. A(4,1)A(4,1) is a fixed point. As PP varies, find the minimum distance of PP from AA and prove that for this position of PP, APAP is normal to the parabola?
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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?
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Find the equation of the tangent to the curve y=ln(3x-2) + 4y=ln(3x−2)+4 at the point where x=1x=1?
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y=x^2e^(-x)y=x2e−x has a maximum turning point at A(2,4/e^2)A(2,4e2). The equation x^2e^(-x)-2=0x2e−x−2=0 has 3 real, distinct roots. What are the possible values of kk?
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Find the Cartesian equation of the locus of arg((z-4)/(z+4))=pi/4arg(z−4z+4)=π4?
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Prove ((1 + cos2 x + i sin2 x)/(1 + cos2 x - i sin2 x))^n=cos2nx+isin2nx(1+cos2x+isin2x1+cos2x−isin2x)n=cos2nx+isin2nx?
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Evaluate lim_(x->0)(1-cosx)/x^2?
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d/dx(tan^(-1)2x)=2/(4x^2+1). Why is there a 2 in the numerator?
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Prove (1+sinx+icosx)/(1+sinx-icosx)=sinx+icosx?
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Let z=a+ib, where a and b are real. If z/(z-i) is real, show that z is imaginary or 0. Help?