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Knowledge check 1

Ans A

Ans B

Ans C

Related

New

Old

LO's

AS

Chapter 13 - Integration

y dπ‘₯

A = lw

b2-4ac

Rules

AS

y dπ‘₯

A = lw

b2-4ac

13.1 - Integrating xn

Rules

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y dπ‘₯

A = lw

b2-4ac

13.1 - Integrating xn

Rules

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y dπ‘₯

A = lw

b2-4ac

13.1 - Integrating xn

Rules

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y dπ‘₯

A = lw

b2-4ac

13.1 - Integrating xn

Rules

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y dπ‘₯

A = lw

b2-4ac

13.2 - Definite integrals

Rules

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y dπ‘₯

A = lw

b2-4ac

13.2 - Definite integrals

Rules

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y dπ‘₯

A = lw

b2-4ac

13.3 - Finding functions

Rules

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y dπ‘₯

A = lw

b2-4ac

13.3 - Finding functions

Rules

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y dπ‘₯

A = lw

b2-4ac

13.4 - Definite integrals

Rules

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y dπ‘₯

A = lw

b2-4ac

13.4 - Definite integrals

Rules

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y dπ‘₯

A = lw

b2-4ac

13.4 - Definite integrals

Rules

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y dπ‘₯

A = lw

b2-4ac

13.5 - Areas under curves

Rules

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y dπ‘₯

A = lw

b2-4ac

13.5 - Areas under curves

Rules

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y dπ‘₯

A = lw

b2-4ac

13.6 - Areas under the x-axis

Rules

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y dπ‘₯

A = lw

b2-4ac

13.6 - Areas under the x-axis

Rules

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y dπ‘₯

A = lw

b2-4ac

13.7 - Areas between curves and lines

Rules

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y dπ‘₯

A = lw

b2-4ac

13.7 - Areas between curves and lines

Knowledge check 1

LO's

Chapter 14 - Exponentials and logarithms

Related

New

Old

AS

y dπ‘₯

A = lw

b2-4ac

Rules

AS

y dπ‘₯

A = lw

b2-4ac

14.1 - Exponential functions

Rules

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y dπ‘₯

A = lw

b2-4ac

14.1 - Exponential functions

Rules

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y dπ‘₯

A = lw

b2-4ac

14.2 - ex

Rules

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y dπ‘₯

A = lw

b2-4ac

14.2 - ex

Rules

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y dπ‘₯

A = lw

b2-4ac

14.2 - ex

Rules

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y dπ‘₯

A = lw

b2-4ac

14.3 - Exponential modelling

Rules

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y dπ‘₯

A = lw

b2-4ac

14.4 - Logarithms

Rules

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y dπ‘₯

A = lw

b2-4ac

14.4 - Logarithms

Rules

Rules

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y dπ‘₯

A = lw

b2-4ac

14.4 - Logarithms

Rules

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y dπ‘₯

A = lw

b2-4ac

14.5 - Laws of Logarithms

Rules

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y dπ‘₯

A = lw

b2-4ac

14.5 - Laws of Logarithms

Rules

AS

y dπ‘₯

A = lw

b2-4ac

14.5 - Laws of Logarithms

Rules

AS

y dπ‘₯

A = lw

b2-4ac

14.5 - Laws of Logarithms

Rules

AS

y dπ‘₯

A = lw

b2-4ac

14.5 - Laws of Logarithms

Rules

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y dπ‘₯

A = lw

b2-4ac

14.6 - Solving equations using Logarithms

Rules

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y dπ‘₯

A = lw

b2-4ac

14.6 - Solving equations using Logarithms

Rules

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y dπ‘₯

A = lw

b2-4ac

14.6 - Solving equations using Logarithms

Rules

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y dπ‘₯

A = lw

b2-4ac

14.7 - Working with natural logarithms

Rules

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y dπ‘₯

A = lw

b2-4ac

14.7 - Working with natural logarithms

Rules

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y dπ‘₯

A = lw

b2-4ac

14.8 - logarithms and non-linear data

Rules

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y dπ‘₯

A = lw

b2-4ac

14.8 - logarithms and non-linear data

Rules

AS

y dπ‘₯

A = lw

b2-4ac

14.8 - logarithms and non-linear data

Rules

AS

y dπ‘₯

A = lw

b2-4ac

14.8 - logarithms and non-linear data

y dπ‘₯

Logs

dx

dy

f(π‘₯+a)

b2-4ac

y dπ‘₯

Logs

dx

dy

f(π‘₯+a)

b2-4ac

Foundation

Higher

A Level

y dπ‘₯

Logs

dx

dy

f(π‘₯+a)

b2-4ac

y dπ‘₯

Logs

dx

dy

f(π‘₯+a)

b2-4ac

Foundation

Higher

A Level

y dπ‘₯

Logs

dx

dy

f(π‘₯+a)

b2-4ac

y dπ‘₯

Logs

dx

dy

f(π‘₯+a)

b2-4ac

Foundation

Higher

A Level

Foundation

Higher

A Level

Foundation

Higher

A Level

Foundation

Higher

A Level

y dπ‘₯

Logs

dx

dy

f(π‘₯+a)

b2-4ac

y dπ‘₯

Logs

dx

dy

f(π‘₯+a)

b2-4ac

Foundation

Higher

A Level

y dπ‘₯

Logs

dx

dy

f(π‘₯+a)

b2-4ac

Foundation

Higher

A Level

Foundation

Higher

A Level

y dπ‘₯

Logs

dx

dy

f(π‘₯+a)

b2-4ac

y dπ‘₯

Logs

dx

dy

f(π‘₯+a)

b2-4ac

Foundation

Higher

A Level

Chapter 13 Learning Objectives

  • Find y given α΅ˆΚΈβ„dx for xn
  • Integrate polynomials.
  • Find f'(x), given f'(x) and a point on the curve.
  • Evaluate a definite integral.
  • Find the area bounded by a curve and the x-axis.
  • Find areas bounded by curves and straight lines.

y dπ‘₯

Logs

dx

dy

f(π‘₯+a)

b2-4ac

Foundation

Higher

A Level

y dπ‘₯

Logs

dx

dy

f(π‘₯+a)

b2-4ac

y dπ‘₯

Logs

dx

dy

f(π‘₯+a)

b2-4ac

Foundation

Higher

A Level

Foundation

Higher

A Level

Foundation

Higher

A Level

Foundation

Higher

A Level

y dπ‘₯

Logs

dx

dy

f(π‘₯+a)

b2-4ac

Foundation

Higher

A Level

Foundation

Higher

A Level

y dπ‘₯

Logs

dx

dy

f(π‘₯+a)

b2-4ac

y dπ‘₯

Logs

dx

dy

f(π‘₯+a)

b2-4ac

y dπ‘₯

Logs

dx

dy

f(π‘₯+a)

b2-4ac

Foundation

Higher

A Level

y dπ‘₯

Logs

dx

dy

f(π‘₯+a)

b2-4ac

Foundation

Higher

A Level

y dπ‘₯

Logs

dx

dy

f(π‘₯+a)

b2-4ac

Foundation

Higher

A Level

Foundation

Higher

A Level

Foundation

Higher

A Level

y dπ‘₯

Logs

dx

dy

f(π‘₯+a)

b2-4ac

y dπ‘₯

Logs

dx

dy

f(π‘₯+a)

b2-4ac

y dπ‘₯

Logs

dx

dy

f(π‘₯+a)

b2-4ac

y dπ‘₯

Logs

dx

dy

f(π‘₯+a)

b2-4ac

y dπ‘₯

Logs

dx

dy

f(π‘₯+a)

b2-4ac

Foundation

Higher

A Level

y dπ‘₯

Logs

dx

dy

f(π‘₯+a)

b2-4ac

Foundation

Higher

A Level

y dπ‘₯

Logs

dx

dy

f(π‘₯+a)

b2-4ac

y dπ‘₯

Logs

dx

dy

f(π‘₯+a)

b2-4ac

y dπ‘₯

Logs

dx

dy

f(π‘₯+a)

b2-4ac

y dπ‘₯

Logs

dx

dy

f(π‘₯+a)

b2-4ac

Foundation

Higher

A Level

y dπ‘₯

Logs

dx

dy

f(π‘₯+a)

b2-4ac

Foundation

Higher

A Level

y dπ‘₯

Logs

dx

dy

f(π‘₯+a)

b2-4ac

y dπ‘₯

Logs

dx

dy

f(π‘₯+a)

b2-4ac

Foundation

Higher

A Level

Foundation

Higher

A Level

Foundation

Higher

A Level

Foundation

Higher

A Level

y dπ‘₯

Logs

dx

dy

f(π‘₯+a)

b2-4ac

y dπ‘₯

Logs

dx

dy

f(π‘₯+a)

b2-4ac

y dπ‘₯

Logs

dx

dy

f(π‘₯+a)

b2-4ac

y dπ‘₯

Logs

dx

dy

f(π‘₯+a)

b2-4ac

Foundation

Higher

A Level

Foundation

Higher

A Level

Foundation

Higher

A Level

Foundation

Higher

A Level

y dπ‘₯

Logs

dx

dy

f(π‘₯+a)

b2-4ac

Foundation

Higher

A Level

y dπ‘₯

Logs

dx

dy

f(π‘₯+a)

b2-4ac

y dπ‘₯

Logs

dx

dy

f(π‘₯+a)

b2-4ac

Foundation

Higher

A Level

Foundation

Higher

A Level

y dπ‘₯

Logs

dx

dy

f(π‘₯+a)

b2-4ac

Foundation

Higher

A Level

Foundation

Higher

A Level

y dπ‘₯

Logs

dx

dy

f(π‘₯+a)

b2-4ac

Chapter 13 Learning Objectives

  • Sketch graphs of the form y = ax, y = ex, and transformations of these graphs.
  • Differentiate ekx and understand why this result is important.
  • Use and interpret models that use exponential functions.
  • Recognise the relationship between exponents and logarithms.
  • Recall and apply the laws of logarithms
  • Solve equations of the form ax=b
  • Describe and use the natural logarithm function.
  • Use logarithms to estimate the values of constants in non-linear models.

Foundation

Higher

A Level

Foundation

Higher

A Level

Foundation

Higher

A Level