Sketch the graph of y=(2−x)2+3,0≤x≤4y = (2 - x)^2 + 3, \quad 0 \leq x \leq 4y=(2−x)2+3,0≤x≤4
The line with equation x+y=kx + y = kx+y=k, where k k\,k is a constant, intersects the curve at two distinct points. State the range of values of kkk, writing your answer in set notation.
717 exam-style questions on Edexcel A Level Maths Differentiation, covering 9.1 Differentiating sin x and cos x, 9.2 Differentiating exponentials and logarithms, 9.3 The Chain Rule, 9.4 The Product Rule, 9.5 The Quotient Rule, 9.6 Differentiating Trigonometric Functions, 9.7 Parametric Differentiation, 9.8 Implicit Differentiation, 9.9 Using Second Derivatives, and 9.10 Rates of Change. Each one has a worked solution and a mark scheme showing where the marks go.