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xxMikexx [17]
3 years ago
8

Suppose z=x^2*sin(y), x=2s^2−4t^2, y=4st.

Mathematics
1 answer:
9966 [12]3 years ago
4 0
<span>∂z/∂s = dz/dx * dx/ds + dz/dy * dy/ds
dz/dx = 2x sin(y)
dx/ds = 4s
dz/dy = x^2 cos(y)
dy/ds = 4t

</span><span>∂z/∂s = 2x sin y * 4s + x^2 cos y * 4t = 8sx sin(y) + 4tx^2 cos(y)

</span>∂z/∂t = <span><span>dz/dx * dx/dt + dz/dy * dy/dt
dz/dx = 2x sin(y)
dx/dt = -8t
dz/dy = x^2 cos(y)
dy/dt = 4s

</span> </span><span>∂z/∂t = </span><span><span>2x sin y * -8t + x^2 cos y * 4s = -16tx sin(y) + 4sx^2 cos(y)</span> </span>
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Please Help Identify each angle pair. Choose from the list below.
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Answer:

The answer is given below.

Step-by-step explanation:

Alternate exterior angles: I is a pair of angles on the outer side of the each of two parallel lines but on opposite side of the transversal.

Vertically opposite angles: They are angles opposite each other when two lines intersect each other or cross each other.

Corresponding angles:  The angles which occupy the same relative position at each intersection where a transversal intersect the two parallel lines.

Same side interior angles: These are the angles between the parallel lines with the transversal.

Alternate interior angles: These are those angles that are alternate to each other and lie inside the parallel lines forming in Z shape.

Linear pair angles: It is a pair of adjacent angles formed by two intersecting lines

\angle 1\ and\ \angle 6:\ \textrm{alternate exterior angles}\\\angle 1\ and\ \angle 3:\ \textrm{Vertical opposite angles}\\\angle 3\ and\ \angle 6:\ \textrm{corresponding angles}\\\angle 4\ and\ \angle 8:\ \textrm{same side interior angles}\\\angle 4\ and\ \angle 5:\ \textrm{alternate interior angles}\\\angle 5\ and\ \angle 6:\ \textrm{linear pair angles}

4 0
3 years ago
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USPshnik [31]

Answer:

The number is 7.

Step-by-step explanation:

4n - 7 = 21                  Add 7 on both sides

   4n = 28                       Isolate the variable by dividing 4 on both sides

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<h3><u><em>Hope this helps!!! </em></u></h3><h3><u><em>Please mark this as brainliest!!! </em></u></h3><h3><u><em>Thank You!!! </em></u></h3><h3><u><em>:)</em></u></h3>
3 0
4 years ago
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Ahat [919]

Answer:

x=4

Step-by-step explanation:

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(plus both sides by 16 and minus both sides by 4x)

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4 years ago
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Dvinal [7]
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Suppose you have a set A and a set B, so if a relation assigns to each element x in the set A exactly one element y in the set B, then the function f is in fact that relation.
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3 years ago
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Answer:

A

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