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2 years ago

Eliminate the parameter. x = 4 cos t, y = 4 sin t

Mathematics

2 answers:

iVinArrow [24]2 years ago

8 0

Sin^2 + cos^2 = 1
so,
(x/4)^2 + (y/4)^2 = 1

we got rid of t.

likoan [24]2 years ago

4 0

Answer:

$x^2+y^2=16$

Step-by-step explanation:

Given: $x=4\cos t, y=4\sin t$

We need to eliminate the parameter t from parametric equation.

$x=4\cos t$

Square both sides

$x^2=(4\cos t)^2$

$x^2=16\cos^2 t$

$y=4\sin t$

Square both sides

$y^2=(4\sin t)^2$

$y^2=16\sin^2 t$

Add both equation

$x^2+y^2=16\cos^2t+16\sin^2t$

$x^2+y^2=16(\cos^2t+\sin^2t)$ $\because \sin^2\theta+\cos^2\theta = 1$

$x^2+y^2=16$

Hence, The new equation without parameter t would be $x^2+y^2=16$

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Answer:

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2 years ago

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vaieri [72.5K]

Answer:

a) Binomial distribution B(n=12,p=0.01)

b) P=0.007

c) P=0.999924

d) P=0.366

Step-by-step explanation:

a) The distribution of cracked eggs per dozen should be a binomial distribution B(12,0.01), as it can model 12 independent events.

b) To calculate the probability of having a carton of dozen eggs with more than one cracked egg, we will first calculate the probabilities of having zero or one cracked egg.

$P(k=0)=\binom{12}{0}p^0(1-p)^{12}=1*1*0.99^{12}=1*0.886=0.886\\\\P(k=1)=\binom{12}{1}p^1(1-p)^{11}=12*0.01*0.99^{11}=12*0.01*0.895=0.107$

Then,

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c) In this case, the distribution is B(1200,0.01)

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2 years ago

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lbvjy [14]

Answer:

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Step-by-step explanation:

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It can still be written as

– 3x2 – 2x + 6 =0

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Where

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2 years ago

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