3 years ago

For each situation, find the sample space

Mathematics

1 answer:

aleksklad [387]3 years ago

5 0

H,t 1,2,3,4,5 sample 1
1,2,3,4,5 is sample 2
purpe,black,green.silver sample 3
s,p,a,c,e and m,a,t,h sample 4

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Find a vector function, r(t), that represents the curve of intersection of the two surfaces. the paraboloid z = 9x2 y2 and the p

dolphi86 [110]

The vector function is, r(t) = $\bold{ < t,2t^2,9t^2+4t^4 > }$

Given two surfaces for which the vector function corresponding to the intersection of the two need to be found.

First surface is the paraboloid, $z=9x^2+y^2$

Second equation is of the parabolic cylinder, $y=2x^2$

Now to find the intersection of these surfaces, we change these equations into its parametrical representations.

Let x = t

Then, from the equation of parabolic cylinder, $y=2t^2$ .

Now substituting x and y into the equation of the paraboloid, we get,

$z=9t^2+(2t^2)^2 = 9t^2+4t^4$

Now the vector function, r(t) = <x, y, z>

So r(t) = $\bold{ < t,2t^2,9t^2+4t^4 > }$

Learn more about vector functions at brainly.com/question/28479805

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7 0

2 years ago

1/5x-2/3y=30<br> What is the value of the x in the equation when y=15

svetlana [45]

Answer:

$\frac{1}{5} x - \frac{2}{3} y = 30 \\ \frac{1}{5} x - \frac{2}{3} 15 = 30 \\ \frac{1}{5} x - \frac{30}{3} = 30 \\ \frac{1}{5} x - 10 = 30 \\ \frac{1}{5} x = 30 + 10 \\ \frac{1}{5} x = 40 \\ x = 40 \div \frac{1}{5} \\ x = 40 \times \frac{5}{1} \\ x = 40 \times 5 \\ x = 200$