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Vilka [71]
3 years ago
5

A box has dimensions x+3 and x+7 , find the area of the box

Mathematics
1 answer:
Natali [406]3 years ago
7 0
Multiply (x+3)(x+7)
Foil x^2+10x+21
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Four less than 5 times a number
Andrew [12]

Answer:

5n - 4

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Four less than 5 times a number

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Find an equation of the tangent to the curve at the given point by both eliminating the parameter and without eliminating the pa
jek_recluse [69]

Answer:2x-y=5

Step-by-step explanation:

Given

x=6+\ln t

y=t^{2}+6

\left ( a\right ) without eliminating parameter

\frac{\mathrm{d} x}{\mathrm{d} t}=\frac{1}{t}

\frac{\mathrm{d} y}{\mathrm{d} t}=2t

\frac{\mathrm{d} y}{\mathrm{d} x}=2t^2

at \left ( 6,7\right )

6=6+\ln\left ( t\right )

t=1

Equation of line is given by

2=\frac{y-7}{x-6}

2x-12=y-7

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\left ( b\right )by eliminating parameter

x-6=\ln \left ( t\right )

t=e^{x-6}

y=t^2 +6

y=e^{\left ( 2x-12\right )}+6

differentiating we get

\frac{\mathrm{d}y}{\mathrm{d} x}=2e^\left ( 2x-12\right )

at \left ( 6,7\right )

\frac{\mathrm{d}y}{\mathrm{d} x}=2

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2x-y=5

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3 years ago
If you have two six-sided die each labeled one through six. Which set of events has a higher probability?
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