Answer:
35.10585
Step-by-step explanation:
THE ANSWER TO THIS PROMBLEM IS A
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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. =)
Answer:
C
Step-by-step explanation:
The inverse of a matrix is the transpose of the cofactor matrix, divided by the determinant. The determinant is (4)(3) -(1)(-5) = 17, eliminating choice B.
In a 2×2 matrix, the transpose of the cofactor matrix swaps the diagonal elements, and negates the off-diagonal elements. That is, the transpose of the cofactor matrix will look like the matrix of B. When that is divided by 17, you get the matrix of answer choice C.