Maths Equations Flashcards by Amy Clinch

Q

a^xa^y=

A

a^x+y

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Q

a^x/a^y

A

a^x-y

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Q

(a^x)^y

A

a^xy

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Q

x+a^n in logs

A

n=logax

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Q

y-y1=

A

m(x-x1)

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Q

Arithmetic Progression?

A

un= a+ (n-1)d

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Q

Geometric Progression?

A

un= ar^n-1

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Q

area of trapezium

A

1/2 (a+b)h

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Q

Volume of a prism

A

area of cross section times length

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Q

arc length in radians

A

rangle

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Q

area of circle in radians

A

1/2 r^2angle

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Q

sin rule

A

a/sinA = b/sinb = c/sinc

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Q

cosine rule

A

a^2 = b^2 + c^2 -2bccosA

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Q

Area of a triangle

A

1/2 absinC

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Q

cos^2 + sin^2 =

A

1

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Q

sec^2A =

A

1 + tan^2A

Q

cosec^2A =

A

1 + cot^2A

Q

sin2A =

A

2sinAcosA

Q

cos2A =

A

cos^2A - sin^2A

Q

cos2A =

A

1-sin^2A

Q

cos2A =

A

cos^2A - 1

Q

tan2A =

A

2tanA/1-tan^2A

Q

Differentiate sinkx

A

kcoskx

Q

Differentiate coskx

A

-ksinkx

Q

Differentiate e^kx

A

ke^kx

Q

Differentiate lnx

A

1/x

Q

Differentiate f(x) + g(x)

A

f’(x) + g’(x)

Q

product rule

A

u’v + uv’

Q

Differentiate f(g(x))

A

f’(g(x))g’(x)

Q

Integrate x^n

A

(1/n+1)x^n+1 + c

Q

Integrate coskx

A

(1/k)sinkx +c

Q

Integrate sinkx

A

(-1/k)coskx + c

Q

Integrate e^kx

A

(1/k)e^kx + c

Q

Integrate 1/x

A

ln|x| + c

Q

How do you calculate area under a curve?

A

integrate using limits

Q

|xi + yj + zk|

A

Root of x^2 + y^2 + z^2

Q

weight =

A

mass times g

Q

F =

A

ma

Q

how to sva correlate in variable acceleration

A

differentiate and integrate to get equation for each