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3 years ago

10

Photo courtesy of the US Army

1 answer:

allsm [11]3 years ago

7 0

<span>Photo courtesy of the US Army
What order does the star shown here have?

</span>
<span> B. order 3 </span>

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Find the indicated limit, if it exists.

kondor19780726 [428]

Answer:

d) The limit does not exist

General Formulas and Concepts:

<u>Calculus</u>

Limits

Right-Side Limit: $\displaystyle \lim_{x \to c^+} f(x)$
Left-Side Limit: $\displaystyle \lim_{x \to c^-} f(x)$

Limit Rule [Variable Direct Substitution]: $\displaystyle \lim_{x \to c} x = c$

Limit Property [Addition/Subtraction]: $\displaystyle \lim_{x \to c} [f(x) \pm g(x)] = \lim_{x \to c} f(x) \pm \lim_{x \to c} g(x)$

Step-by-step explanation:

*Note:

In order for a limit to exist, the right-side and left-side limits must equal each other.

<u>Step 1: Define</u>

<em>Identify</em>

$\displaystyle f(x) = \left\{\begin{array}{ccc}5 - x,\ x < 5\\8,\ x = 5\\x + 3,\ x > 5\end{array}$

<u>Step 2: Find Right-Side Limit</u>

Substitute in function [Limit]: $\displaystyle \lim_{x \to 5^+} 5 - x$
Evaluate limit [Limit Rule - Variable Direct Substitution]: $\displaystyle \lim_{x \to 5^+} 5 - x = 5 - 5 = 0$

<u>Step 3: Find Left-Side Limit</u>

Substitute in function [Limit]: $\displaystyle \lim_{x \to 5^-} x + 3$
Evaluate limit [Limit Rule - Variable Direct Substitution]: $\displaystyle \lim_{x \to 5^+} x + 3 = 5 + 3 = 8$

∴ Since $\displaystyle \lim_{x \to 5^+} f(x) \neq \lim_{x \to 5^-} f(x)$ , then $\displaystyle \lim_{x \to 5} f(x) = DNE$

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Limits

5 0

2 years ago

enyata [817]

Answer:

x = 1/8

Step-by-step explanation:

Solve for x by simplifying both sides of the equation, then isolating the variable.

8 0

2 years ago

What are the measures of Angles a, b, and c?<br><br> Show your work and explain your answers.

jolli1 [7]

Answer:

∡a has a vertical angle sibling of 40°, and vertical angles are always congruent.

∡b is the 3rd angle in a triangle, the other two are 40° and 90°, recall all interior angles in a triangle add up to 180°.

∡c is a linear angle, namely an angle on the same flat-line as another, and linear angles always add up to 180°.

Step-by-step explanation:

6 0

2 years ago

PLEASE HELP ASAP WILL GIVE BRAINLIEST AB¯¯¯¯¯ has end points at A (0, 5) and B (0, 0) . A transformation is performed on AB¯¯¯¯¯

adell [148]

A is your answer im pretty sure took the test

3 0

3 years ago

Supposed original quantity is 179 five and the new quantity is 126. Write an expression that represents the percent change. Find

vlabodo [156]

Answer:

This is a -29.6% change

Step-by-step explanation:

To find the percent change, use the percent change equation.

(New - Old)/(Old) * 100 = Percent Change

(126 - 179)/(179) * 100 = Percent Change

-53/179 * 100 = Percent Change

-.296 * 100 = Percent Change

-29.6% = Percent Change

4 0

3 years ago