Questions Asked

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A biased dice was thrown 20 times and the number of 5s was noted. This experiment was repeated many times and the average number of 5s was f…
 updated 2 years ago
 1 reply
 No Medals Yet

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cosec x= 1/2 (x)+1
has root 0<x<1/2 pi
…
 updated 2 years ago
 17 replies
 1 Medal

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Follow up of previous question:
state what happens to the value of y if x becomes very large and positive?
 updated 2 years ago
 No Medals Yet

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Given that y=1 when x=0, solve the equation
dy/dx= y(4y)
…
 updated 2 years ago
 11 replies
 3 Medals

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Put this in partial fractions:
\[1 \over y(4y)\]
 updated 2 years ago
 14 replies
 2 Medals

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By sketching a suitable pair of graphs, show that the equation
cosec x = (1/2)x+1
where x is in radians, has a root in the intervale 0<x<…
 updated 2 years ago
 14 replies
 1 Medal

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Show that \[\int\limits\limits {1(\tan \theta)^2 \over [1 +(\tan \theta)^2]^2}theta = \int\limits \cos2 \theta d \theta\]
 updated 2 years ago
 38 replies
 3 Medals

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Find the modulus and argument of each root:
i+2 and i2
 updated 2 years ago
 19 replies
 3 Medals

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Solve the equation z^2 2iz 5=0
giving answers in the form x+iy
where x and y are real
 updated 2 years ago
 8 replies
 1 Medal

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trapezium rule anyone? Formula...
 updated 2 years ago
 29 replies
 2 Medals

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find \[ {dy \over dx}xsin2x\]
 updated 2 years ago
 11 replies
 5 Medals

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Expand (2 + 3x)^{−2} in ascending powers of x, up to and including the term in x^2, simplifying the
coefficients.
 updated 2 years ago
 12 replies
 4 Medals

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4x^2 +x(4c−4)+c^2 =0
Solve for tangent or in other words
b^2 4ac=0
 updated 2 years ago
 5 replies
 1 Medal

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In the diagram, the points A and C lie on the x and yaxes respectively and the equation of AC is 2y + x = 16. The point B has coordinates …
 updated 2 years ago
 2 replies
 1 Medal

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Find range of f^1 which is:
\[{^3\sqrt{x+5} 2 \over 3 }= y\]
…
 updated 2 years ago
 11 replies
 1 Medal

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Check if my calculator is working normally!!
30 − 12.5 × 1.176
 updated 2 years ago
 1 reply
 No Medals Yet

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Area of a sector of a circle
 updated 2 years ago
 7 replies
 3 Medals

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The equation of a curve C is y=2x^2−8x+9 and the equation of a line L is x+y=3.
Find the xcoordinates of the points of intersection of L an…
 updated 2 years ago
 4 replies
 2 Medals

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In the triangle ABC, AB = 12 cm, angle BAC = 60◦ and angle ACB = 45◦. Find the exact length of BC.
 updated 2 years ago
 28 replies
 3 Medals

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The function g is defined by g(x) = 8xx^2 for x>=4
State the domain and range for g^1
 updated 2 years ago
 10 replies
 No Medals Yet

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The function f is defined by f(x)=53sin2x for 0<x<pi
Find the range of f
 updated 2 years ago
 5 replies
 1 Medal

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Solve the equation 3tan(2x+15)=4 for 0<x<180
 updated 2 years ago
 7 replies
 1 Medal

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The function f is such that
f(x)= 2sin^2x  3cos^2x for
0<= x <=pi…
 updated 2 years ago
 7 replies
 No Medals Yet

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The function g:x  2x^2 8x +14 is defined for x>=A. Find the smallest value of A for which g has an inverse
 updated 2 years ago
 6 replies
 1 Medal

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The function f:x = 43sinx is defined for the domain 0<x<2pi
Find the set of values of k for which the equation f:x=k has no solution
 updated 2 years ago
 13 replies
 2 Medals

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Find the value of the constant c for which the line y=2x+c is a tangent to the curve y^2 =4x.
 updated 2 years ago
 24 replies
 4 Medals

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A curve is such that \[{dy \over dx} = {3 \over (1+2x)^2}\] and the point (1, 1/2) lies on the curve.
Find the equation of the curve.
 updated 2 years ago
 34 replies
 5 Medals

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\[\int\limits {3 \over (1+2x)^2}dx\]
 updated 2 years ago
 27 replies
 5 Medals

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(i) Show that the equation
2 tan^2 θ sin^2 θ = 1 can be written in the form
2 sin^4 θ + sin^2 θ − 1 = 0.
 updated 2 years ago
 15 replies
 3 Medals

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(i) Show that the equation
2 tan^2 θ sin^2 θ = 1 can be written in the form
2 sin^4 θ + sin^2 θ − 1 = 0.
 updated 2 years ago
 2 replies
 No Medals Yet
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