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2 years ago

Help with 6 a and b please

Mathematics

1 answer:

34kurt2 years ago

8 0

Answer:

a) $y=\frac{50}{x}$

b) $y=25$ when $x=2$

Step-by-step explanation:

$y=\frac{k}{x}$ since y varies inversely with x.

We need to find the constant, k.

Let's use a point (x,y) on the curve.

We are given an (x,y)=(5,10):

$10=\frac{k}{5}$

Multiply both sides by 5:

$10(5)=k$

$50=k$ .

So the equation is:

$y=\frac{50}{x}$

What is y when x=2?

$y=\frac{50}{2}$

$y=25$

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Answer:

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2 years ago

For f(x)=4sin(x2) between x=0 and x=3, find the coordinates of all intercepts, critical points, and inflection points to two dec

telo118 [61]

Answer:

Intercepts:

x = 0, y = 0

x = 1.77, y = 0

x = 2.51, y = 0

Critical points:

x = 1.25, y = 4

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Inflection points:

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Step-by-step explanation:

We can find the intercept by setting f(x) = 0

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$x = \sqrt(n\pi)$

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$xcos(x^2) = 0$

$x = 0$ or

$cos(x^2) = 0$

$x^2 = \frac{\pi}{2} + n\pi$ where n = 0, 1, 2, 3

$x = \sqrt{\pi(n+1/2)}$

Since we are restricting x between 0 and 3 we can stop at n = 2

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x = 1.81, $y = f(1.81) = 4sin(1.81^2) = -0.54$

x = 2.52, $y = f(2.52) = 4sin(2.52^2) = 0.27$

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