OxbridgeMind TMUA Paper 2
15 questions · 56 min · Difficulty 44 · by OxbridgeMind
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Questions in this paper
- Question 1How many real roots does the equation x^4-x^3-5x^2-x-6=0 have?
- Question 2The terms of an infinite series S are formed by adding together the corresponding terms in two infinite geometric series, T and U. The…
- Question 3The difference between the two possible values of a, when the gradient of the curve y=(2x+a)(x-2a)^2 is zero at the point where x=1, as a…
- Question 4Given the simultaneous equations: 8^y=2^((x-1)^2) log(y+2-2x)=0 Find the possible values of y.
- Question 5It is given that y=(1+2sin x)sin2x for 0<x<dfrac3π2. The complete set of values of x for which y is negative is
- Question 6The function dfrac2+x√(x^3) is defined for all x>0. The complete set of values of x for which the function is decreasing is
- Question 7The coefficient of x^2 in the expansion (1+3x+2x^2)^5 is equal to 5 times the coefficient of x^4 in the expansion of (1+ax^2)^4. Find all…
- Question 8How many solutions does the equation xsin x=1 have in the interval -2π<x<2π.
- Question 9The line segment joining the points (2,2) and (6,4) is a diameter of a circle. This circle is translated by 2 units in the negative…
- Question 10Find the maximum angle x in the range 0°≤ x≤360°which satisfies the equation. sin^2(2x)+√3cos(2x)-frac74=0
- Question 1160% of a sport's club members are men and remainder are women. The sports club offers the opportunity to play football or rugby. Every…
- Question 12A line is drawn normal to the curve y=dfrac3x^2 at the point on the curve where x=1. This line cuts the x-axis at P and the y-axis at Q…
- Question 13The expression 2x^3+x^2-5x+a, where a is a constant, has (x+2) as a factor. Which of the following is a complete factorization of the…
- Question 14The cross section of a triangular prism is an isosceles triangle with the 2 longer sides having length 2x cm and shorter side with length x…
- Question 15How many real roots does the equation have: x^4-4x^3+5x^2-8x+6=0