3 years ago

How can you show that two objects are proportional with a graph

Mathematics

1 answer:

Ray Of Light [21]3 years ago

3 0

Their angles/lengths (depending on which type of graph you are using) would be the same.

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3 years ago

At what values of x does f(x) = x^3 - 2x^2 -4x+1 satisfy the mean value theorwm on [0,1]

denis-greek [22]

Answer:

x=1/3

Step-by-step explanation:

A function f is given as

$f(x) = x^3-2x^2-4x+1$ in the interval [0,1]

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$f(1) = 1-2-4+1 = -4\\f(0) = 1$

The value

$\frac{f(1)-f(0)}{1-0} =\frac{-4-1}{1} =-5$

Find derivative for f

$f'(x) = 3x^2-4x-4$

Equate this to -5 to check mean value theorem

$3x^2-4x-4=-5\\3x^2-4x+1=0\\\\(x-1)(3x-1) =0\\x= 1/3 : x = 1$

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3 years ago

A bird catches a fish, flies 100 yards upward in a straight line, and then drops the fish. The fish lands at a spot that is 50 y

Marina CMI [18]

You can solve this using trigonometric functions.

The angle between the fish and the ground is
tan θ = 100 / 50
θ = tan-1 (2)
θ = 63.43°

The height of the bird before it dropped the fish is already given, which is 100 yards.

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3 years ago