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3 years ago

If dy/dx= sin x/ cos y and y(0) = 3pi/2, find an equation for y in terms of x

1 answer:

6 0

dy / dx = sin x / cos y
We rewrite the equation:
(cos (y) * dy) = (sin (x) * dx)
We integrate both sides of the equation:
sin (y) = - cos (x) + C
We use the initial condition to find the constant C:
sin (3pi / 2) = - cos (0) + C
-1 = -1 + C
C = -1 + 1
C = 0
The equation is then:
sin (y) = - cos (x)
Clearing y:
y = Arcosine (-cos (x))
Answer:
An equation for and in terms of x is:
y = Arcosine (-cos (x))

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3 years ago

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3 years ago

The Mercury Electric Company issued 2,000,000 shares of stock at $62.50 per share. These selling expenses are deducted: commissi

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3 years ago

Tell whether the expression 3x^4 -5x +7 is a polynomial. If it is polynomial , find the degrees and determine whether it is a mo

ioda

Given:

The polynomial is:

$3x^4-5x+7$

To find:

The degrees and determine whether it is a monomial, binomial, or trinomial.

Solution:

We have,

$3x^4-5x+7$

The highest power of the variable <em>x</em> in the given polynomial is 4. So, the degree of the polynomial is 4.

Monomial: Polynomial with one term.

Binomial: Polynomial with two terms.

Trinomial: Polynomial with three terms.

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Therefore, the degree of the polynomial is 4 and it is a trinomial.

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3 years ago

Complete the remainder of the<br> table for the given function rule:

melamori03 [73]

Answer:

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0=0

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6=-4

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3 years ago