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You have
y as an implicit function of
x:
sin(xy) – x = 0Use implicit differentiation. As
y is a function of
x, then you must apply the chain rule there:
d d—— [ sin(xy) – x ] = —— (0) dx dx d d d—— [ sin(xy) ] – —— (x) = —— (0) dx dx dx d—— [ sin(xy) ] – 1 = 0 dx d—— [ sin(xy) ] = 1 dx dcos(xy) · —— (xy) = 1 dxNow, apply the product rule for that last derivative:
dyIsolate
—— :
dx dyx cos(xy) · —— = 1 – y cos(xy) dxAssuming
x cos(xy) ≠ 0,
dy 1 – y cos(xy)—— = ———————— <——— this is the answer.
dx x cos (xy)I hope this helps. =)
(1,800−(1,800×0.30))
=1,260
1,260×0.09
=113.4
113.4+1,260
=1,373.4 .....answer
Hey there! :)
Answer:
f(x) = x³ -6x² -16x. (Simplified)
Step-by-step explanation:
Given:
Zeros: -2, 0, 8; degree: 3
To begin, write the polynomial in factored form involving the zeros:
f(x) = x(x + 2)(x - 8).
If you were to convert this to standard form, you would FOIL the factors:
f(x) = x(x + 2)(x - 8)
f(x) = x(x² -6x -16)
f(x) = x³ -6x² -16x. This is your equation in standard form.
Answer:
The one that makes a circle
Step-by-step explanation:
Answer:
20:40
Step-by-step explanation:
Because part of the ratio is the total number of berries, we need to add up all of the berries.
20+15+5=40
The number of strawberries picked is 20, so the ratio is 20:40