math
What is (2+y)³ written out?8 + 12y + 6y² + y³6 + 8y + 4y² + y³2. What’s the name of the expansion you could use to work out the answer to the previous question?BernsteinBinomial3. Which plot represents y=9ˣ? wolframalpha.comwolframalpha.com4. Which equation would you find to solve 9ˣ=15 for x?x = ln(15)/ln(9)x = ln(15/9)5. Line AB has the equation 3x – 4y + 5 = 0. Point (p, p+2) lies on line AB. What is the value of p?-336. What is the gradient of line AB from the previous question?5/43/47. Express √48 in the form n√3, where n is an integer.8√34√38. A geometric series has first term 80 and common ratio 1/2. What are the next two terms?40 and 20.160 and 320.9. A circle sector OAB has angle 0.8 radians. What is arc length AB? AQA / Via filestore.aqa.org.uk16cm18cm10. What would you use to find the approximate area of an integral between certain limits?Trapezium rule.Pythagoras’ theorem.11. What function does this plot represent? wolframalpha.comcos(x)sin(x)12. A curve has parametric equations x = 8e⁻²ᵗ – 4 and y = 2e²ᵗ + 4. What is dx/dt?dx/dt = -4e⁻²ᵗdx/dt = -16e⁻²ᵗ13. Using the same equations (x = 8e⁻²ᵗ – 4 and y = 2e²ᵗ + 4) what is dy/dt?dy/dt = 4e²ᵗdy/dt = 4eᵗ14. When you have two parametric equations, what’s the name of the rule you can use to work out dy/dx?Substitution ruleChain rule15. Using the previous equations, what is dy/dx?dy/dx = -¼e⁴ᵗdy/dx=-4e⁴ᵗ