Answer:
Step-by-step explanation:
Polynomial f(x) has the following conditions: zeros of -4 (multiplicity 3), 1 (multiplicity 1), and with f(0) = 320.
The first part zeros of -4 means (x+4) and multiplicity 3 means (x+4)^3.
The second part zeros of 1 means (x-1) and multiplicity 1 means (x-1).
The third part f(0) = 320 means substituting x=0 into (x+4)^3*(x-1)*k =320
(0+4)^3*(0-1)*k = 320
-64k = 320
k = -5
Combining all three conditions, f(x)
= -5(x+4)^3*(x-1)
= -5(x^3 + 3*4*x^2 + 3*4*4*x + 4^3)(x-1)
= -5(x^4 + 12x^3 + 48x^2 + 64x - x^3 - 12x^2 - 48x - 64)
= -5(x^4 + 11x^3 + 36x^2 + 16x -64)
= -5x^3 -55x^3 - 180x^2 - 80x + 320
0.6% of 1300
Convert <span>0.6%</span><span> to a decimal.
</span><span>0.006⋅1300
</span>Multiply 0.006<span> by </span>1300<span> to get </span><span>7.8.
</span>7.8
The Cartesian equivalent of the polar coordinates (r, theta) is
(r cos t, r sin t), where t = theta.
So, (2, 3pi/4) becomes
(2 cos(3pi/4), 2 sin(3pi/4))
(2 • -sqrt{2}/2, 2 • sqrt{2}/2)
Answer: (-sqrt{2}, sqrt{2})
Done.
Note: sqrt = square root for short.
Idk lol I’m just writing this for the 100% sorry
