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4 years ago

The function f is given in three equivalent forms. Which form most quickly reveals the zeros (or 'roots") of the function?

Mathematics

1 answer:

shepuryov [24]4 years ago

3 0

9514 1404 393

Answer:

A, 2

Step-by-step explanation:

In the factored form, the zeros are the values of x that make a factor zero. That is, one of the zeros is ...

x -2 = 0 ⇒ x = 2

To find the zeros from the other forms, more work must be done. In the standard form, one of the usual solution methods must be used, possibly including putting the equation into factored form, completing the square, or using the quadratic formula. In vertex form, a root must be taken, then those values adjusted by translation to the axis of symmetry.

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What is the slope of the line tangent to the curve y+2 = (x^2/2) - 2siny at the point (2,0)?

kirza4 [7]

, y+2 = (x^2/2) - 2sin(y) so we are taking the derivative y in respect to x so we have dy/dx use chain rule on y so y' = 2x/2 - 2cos(y)*y'

Now rearrange it to solve for y' y' = 2x/2 - 2cos(y)*y' 0 = x - 2cos(y)y' - y' - x = 2cos(y)y' - y' -x = y'(2cos(y) - 1) -x/(2cos(y) - 1) = y'
we know when f(2) = 0 so thus y = 0 so when f'(2) = -2/(2cos(0)-1)
2/2 = 1
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Which symbol correctly compares the two angles? pie/3 30° 3 O A.< O B. = O C. >

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Answer:

Step-by-step explanation:

π / 3 is in radians.

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2 years ago

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4 years ago

35.

babunello [35]

Hi there! :)

Answer:

$\huge\boxed{y = 4x - 2}$

Given line with an equation of y = 4x + 3

Parallel lines contain equivalent slopes, so a parallel line to the given equation would contain a slope of m = 4.

Plug in the coordinates of the point given, along with the slope into the equation y = mx + b where:

m = slope

y = y-coordinate of point

x = x-coordinate of point

Solve for the 'b' value, or y-intercept:

y = mx + b

6 = 4(2) + b

6 = 8 + b

b = -2

Rewrite the equation as slope-intercept form:

y = 4x - 2

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