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Questions 10 Questions Practice 10 questions on 9709/21 - Pure Mathematics 2 at Cambridge Assessment International Education. Free AI-generated quiz on uNotes — track your score, retake anytime.
Questions 1 If the variables x and y satisfy the equation y = 4^(2x-a), what is the gradient of the straight line graph formed by plotting ln y against x?
2 State the trigonometric identity that relates tan theta, sin theta, and cos theta.
3 What is the double-angle formula used to express sin 2x in terms of sin x and cos x?
4 When using implicit differentiation, what is the derivative of 2y^3 with respect to x?
5 In the equation |5 - 2x| = 3 ln x, what is the x-coordinate of the vertex of the modulus function graph y = |5 - 2x|?
6 If a continuous function f(x) has f(4.5) = 0.256 and f(5.0) = -0.0858, what can be concluded about the root of the equation f(x) = 0?
7 When applying the quotient rule to differentiate a fraction u/v, what is the formula for the numerator of the derivative?
8 If the gradient of a tangent to a curve at a specific point is -2/5, what is the gradient of the normal to the curve at that same point?
9 According to the Remainder Theorem, what is the remainder when the polynomial p(x) is divided by (x + 2)?
10 What is the exact value of the integral of 1/(x + 2) with respect to x? 