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2 years ago

Plz help me find answer. what are the coordinates of slope when y= x/1–x² when dy/dx=1

Mathematics

1 answer:

vova2212 [387]2 years ago

8 0

Step-by-step explanation:

dy/dx

= d/dx [x / (1 - x²)]

= [(1 - x²)(1) - (x)(-2x)] / (1 - x²)²

= (1 + x²) / (1 - x²)².

When dy/dx = 1, (1 + x²) / (1 - x²)² = 1.

=> 1 + x² = 1 - x²

=> 2x² = 0, x = 0.

Also when x = 0, y = (0) / [1 - (0)²] = 0.

Hence the coodinates is (0, 0).

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1 year ago

Two times x is 8 more than y. The sum of x and two times y is 14. Write two equations and graph to find the value of y.

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Option B: $y=4$ is the value of y

Explanation:

It is given that "Two times x is 8 more than y". Writing it as expression, we have,

$2x=8+y$

It is also given that "The sum of x and two times y is 14". Writing it as expression, we have,

$x+2y=14$

To find the value of y, let us solve the two equations using substitution method.

From the equation $2x=8+y$ , let us find the value of x.

$x=\frac{8+y}{2}$

$x=\frac{8}{2} +\frac{y}{2}$

$x=4+\frac{y}{2}$

Now, substituting $x=4+\frac{y}{2}$ in the equation $x+2y=14$ , we get,

$4+\frac{y}{2}+2y=14$

$4+\frac{5y}{2} =14$

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$y=4$

Thus, the value of y is $y=4$

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3 years ago

Find the slope of the line that passes through (5,8) and (2,3).

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(-5,-3)

Step-by-step explanation:

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2 years ago

Please help it’s due today

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Answer:

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3 years ago

Read 2 more answers

Plz help me find answer. what are the coordinates of slope when y= x/1–x² when dy/dx=1​

Plz help me find answer. what are the coordinates of slope when y= x/1–x² when dy/dx=1