Reference no: EM131111271
Question 1
The composite transformation qa O qb can be expressed as the single transformation rc, where a = 0.1, b = 1.9 and
0≤ c ≤ 2Π
To 2 decimal places, what is the value of c?
Question 2
f(x) = x2 + bx + c, where b = -28 and c = 36. What is the coefficient of x2 in the function f(f(x)).?
Question 3
f(x) = ax2 + bx + c, where a = -25, b = 12 and c = 14. What is the gradient of the point, with x coordinate 19, on the graph of y = f(x)?
Question 4
To 2 decimal places, what is the coefficient of x8 in the expansion of
(ax3 + b/x)8
where a = 3.2 and b = 1.5?
Question 5
The composite transformation qa O rb can be expressed as the single transformation qc where a = 0.8. b = 5.1 and 0 ≤ c < Π
To 2 decimal places, what is the value of c?
Question 6
f and g are linear transformations. The matrices for f and g are respectively
where a = -8, b = 4, c = 5, d = -8, m - 7, n = -7, p = -2 and q = 9.
What is the lower-left entry in the matrix that represents the composite transformation g o f?
Question 7
What is the area of the triangle with vertices at (a, h), (c, d) and (m, n) if
a = 7,b= -8, c = -13, d = 3, m = 17, and n = 11?
As usual, your answer should be a number only (with no units).
Question 8
f(x) = ax2 + bx + c, where a = 6, h = -25 and c = -15. There are two fixed points at x1 and x2, where x1 > x2. To two decimal places what is the value of x1?
Question 9
f(x) = ax3+ (b - ad)x2 + (c - bd)x - cd, where a = 27, b = -11, c = 25 and d = 12.
What value of x satisfies the equation f(x) = 0?
Question 10
The composite of three translations given by
ta, O tc,d O th,k
is equivalent to the single translation tm,n.
What is the value of m if a = -19, b = 12, c = 16, d = -10, h = -6 arid k = -4 ?
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