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2 years ago

Find the cartesian coordinates of the given polar coordinates. then plot the point. (a) (− 2 , 5π/4)

1 answer:

4 0

(a) (x, y) = -2*(cos(5π/4), sin(5π/4)) = (√2, √2)

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Elza [17]

First, simplify the expression $2r^2 + 3s^3 - r^2 + 4t^2 - r^2.$ Here you have three terms with $r^2,$ group them in the following way:

$2r^2 + 3s^3 - r^2 + 4t^2 - r^2=2r^2-r^2-r^2+3s^3+4t^2=(2r^2-r^2-r^2)+3s^3+4t^2=$

$=r^2(2-1-1)+3s^3+4t^2=3s^3+4t^2.$

Then substitute s=-3 and t=5:

$3s^3+4t^2=3\cdot (-3)^3+4\cdot 5^2=3\cdot (-27)+4\cdot 25=-81+100=19.$

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