Edexcel Oct 2021 IAL Pure Maths WMA11/01

Edexcel Oct 2021 IAL Pure Maths WMA11/01 (pdf)

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1. Find
   giving each term in simplest form.
2. A curve has equation
   y = 3x⁵ + 4x³ – x + 5
   The points P and Q lie on the curve.
   The gradient of the curve at both point P and point Q is 2
   Find the x coordinates of P and Q.
3. Solve
   3/x > 4
4. Figure 2 shows a sketch of the curve with equation y = f(x), where
5. The line l1 has equation 3y – 2x = 30
   The line l2 passes through the point A(24, 0) and is perpendicular to l1.

6. A curve C has equation y = f(x) where
7. Figure 3 shows the design for a sign at a bird sanctuary.
   The design consists of a kite OABC joined to a sector OCXA of a circle centre O.
   In the design

• OA = OC = 0.6m
• AB = CB = 1.4m
• Angle OAB = Angle OCB = 2 radians
• Angle AOC = θ radians, as shown in Figure 3

8. Figure 4 shows a sketch of the curve C with equation
   y = 4 + 12x – 3x²
9. Figure 5 shows a sketch of the curve with equation y = f(x) where
10. A curve has equation y = f(x), x > 0

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