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CaHeK987 [17]
3 years ago
6

Write the equation in spherical coordinates. (a) 4x2 − 3x + 4y2 + 4z2 = 0

Mathematics
1 answer:
spayn [35]3 years ago
6 0
4x^2-3x+4y^2+4z^2=0
here we shall proceed as follows:
x=ρcosθsinφ
y=ρsinθsinφ
z=ρcosφ
thus
4x^2-3x+4y^2+4z^2=
4(ρcosθsinφ)^2-3(ρcosθsinφ)+4(ρsinθsinφ)^2+4(ρcosφ)
but
ρ=1/4cosθsinφ

hence we shall have:
4x^2-3x+4y^2+4z^2
=1/4cosθsinθ(cosθ(4-3sinφ))+4sin^2(φ)

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Answer:

x < -11/6.

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Anni [7]

Answer:

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Step-by-step explanation:

Equation of a line is given as:

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Since we know slope is -4, we can write:

y= mx + b

y = -4x+ b

Given the point (-2,7) , we can say:

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7 0
3 years ago
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Answer:

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Step-by-step explanation:

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And we are given that cos(B) = 3/5 in quadrant I, so sin(B) = 4/5.

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3 years ago
An equation of the line that passes through the point (0, -1)<br> and whose slope is 2 is
BARSIC [14]
I believe that it is y=2x-1
7 0
2 years ago
Read 2 more answers
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