Ask question

Ask question

All categories

grandymaker [24]

1 year ago

5

The graph of the function f(x) = tan x is given above for the interval x in[0,2 pi] NL Determine the one-sided limit. Then indic

ate the equation of the vertical asymptote.

1 answer:

damaskus [11]1 year ago

5 0

Okay, here we have this:

Considering the provided function, we are going to calculate the requested one-side limits, so we obtain the following:

You might be interested in

How do you do question b?

notsponge [240]

Part (b)

We use the result of part (a) and plug in (x,y) = (0,0). This is directly from the initial condition y(0) = 0.

$\arcsin(4y) = x^2 + C\\\\\arcsin(4*0) = (0)^2 + C\\\\\arcsin(0) = C\\\\0 = C\\\\C = 0\\\\$

-----------------

This means,

$\arcsin(4y) = x^2 + C\\\\\arcsin(4y) = x^2 + 0\\\\\arcsin(4y) = x^2\\\\4y = \sin(x^2)\\\\y = \frac{1}{4}\sin(x^2)\\\\$

is the solution with the initial condition y(0) = 0.

6 0

3 years ago

Write an equation for each linear function described. Show your work. The graph of the function passes through the point (2,1),

svp [43]

Step-by-step explanation:

As

The graph of the function passes through the point (2,1), and

y increases by 4 when x increases by 1.

so

x y

2 1

3 5

4 9

5 13

6 17

and so on

From the table:

$\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(2,\:1\right),\:\left(x_2,\:y_2\right)=\left(3,\:5\right)$

$m=\frac{5-1}{3-2}$

$m=4$

As the slope-intercept form of the line is

$y=mx+b$

putting m=4 and any point, let say (2, 1) to find y-intercept 'b'.

$1=\left(4\right)2+b$

$8+b=1$

$8+b-8=1-8$

$b=-7$

So putting $b=-7$ and $m=4$ in the slope-intercept form of the line

$y=\left(4\right)x+\left(-7\right)$

$y=4x-7$

Therefore, the equation for the linear function will be:

$y=4x-7$

8 0

3 years ago

For the reaction 2Fe + O2 → 2FeO, how many grams of iron oxide are produced from 42.4 mol of iron?

Butoxors [25]

In the balanced reaction

2 Fe + O₂ → 2 FeO

2 moles of iron (Fe) react with 1 mole of molecular oxygen (O₂) to produce 2 moles of iron oxide (FeO). The ratio of Fe to FeO is 1-to-1, so if one starts with 42.4 mol of Fe, one will end up with the same amount of FeO, 42.4 mol.

Look up the molar mass of Fe and O:

• Fe = 55.845 g/mol

• O = 15.999 g/mol

Then the molar mass of FeO is approximately 71.835 g/mol, and so the mass of 42.4 mol of FeO is

(42.4 mol) × (71.835 g/mol) ≈ 3050 g

8 0

2 years ago

What is the exterior angle of #9 ?

Alexxandr [17]

Answer:

55

Step-by-step explanation:

3x-12=2x

+12

3x=2x +12

-2x

x=12

4(12)+ 9

48+9

=55

6 0

3 years ago

If the points (-8, 7) and T (6,-3) are on a line segment, find the length of ST.

larisa86 [58]

Answer:

The answer is

<h2>2√74 or 17.20 units</h2>

Step-by-step explanation:

The length of w line segment between two points can be found by using the formula

$d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\$

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

S(-8, 7) and T (6,-3)

The length of ST is

$|ST| = \sqrt{ ({ - 8 - 6})^{2} + ({7 + 3})^{2} } \\ = \sqrt{ ({ - 14})^{2} + {10}^{2} } \\ = \sqrt{196 + 10} \\ = \sqrt{296} \\ = 2 \sqrt{74} \\ = 17.2046505...$

We have the final answer as

<h3>2√74 or 17.20 units</h3>

Hope this helps you

8 0

3 years ago