Rectangular and polar forms are two forms of equations that translates to plot. In this case, the two forms are convertible to each other by the expressions:
r sin theta = y
r cos theta = x
x2 + y2 = r2
we are given the polar expression r csc theta = 8 and is asked to convert to rectangular form.
in this case, csc theta is equal to 1/ sin theta. thys
r / sin theta = 8
in order to make use of the equations above, then
we multiply r to both numerator and denominator in the left side, that is
r^2 / r sin theta = 8
x2+y2 / y = 8
x 2 + y2 = 8y
Simplifying
h(t) = -1t2 + -2t + 30
Multiply h * t
ht = -1t2 + -2t + 30
Reorder the terms:
ht = 30 + -2t + -1t2
Solving
ht = 30 + -2t + -1t2
Solving for variable 'h'.
Move all terms containing h to the left, all other terms to the right.
Divide each side by 't'.
h = 30t-1 + -2 + -1t
Simplifying
h = 30t-1 + -2 + -1t
Reorder the terms:
h = -2 + 30t-1 + -1t
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Excuse me sir I believe the answer is 20 plus the
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