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docker41 [41]
3 years ago
10

2) Solve the system of equations: y=6x 4x+y=7

Mathematics
1 answer:
LenKa [72]3 years ago
4 0

Answer: x= 7/10

Y= 21/5

Step-by-step explanation:

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Consider the following. f(x) = x5 − x3 + 6, −1 ≤ x ≤ 1 (a) Use a graph to find the absolute maximum and minimum values of the fu
kykrilka [37]

ANSWER

See below

EXPLANATION

Part a)

The given function is

f(x) =  {x}^{5}  -  {x}^{3}  + 6

From the graph, we can observe that, the absolute maximum occurs at (-0.7746,6.1859) and the absolute minimum occurs at (0.7746,5.8141).

b) Using calculus, we find the first derivative of the given function.

f'(x) = 5 {x}^{4} - 3 {x}^{2}

At turning point f'(x)=0.

5 {x}^{4} - 3 {x}^{2}  = 0

This implies that,

{x}^{2} (5 {x}^{2}  - 3) = 0

{x}^{2}  = 0 \: or \: 5 {x}^{2}  - 3 = 0

x =  - \frac{ \sqrt{15} }{5}   \: or \: x = 0 \:  \: or \: x =\frac{ \sqrt{15} }{5}

We plug this values into the original function to obtain the y-values of the turning points

(   -  \frac{ \sqrt{15} }{5}  , \frac{1}{125} ( 6 \sqrt{15}  +750)) \:and \:  (0, - 6) \: and\: (   \frac{ \sqrt{15} }{5}  , \frac{1}{125} ( - 6 \sqrt{15}  +750))

We now use the second derivative test to determine the absolute maximum minimum on the interval [-1,1]

f''(x) = 20 {x}^{3}  - 6x

f''( -  \frac{ \sqrt{15} }{5} ) \:   <  \: 0

Hence

(   -  \frac{ \sqrt{15} }{5}  , \frac{1}{125} ( 6 \sqrt{15}  + 750))

is a maximum point.

f''( \frac{ \sqrt{15} }{5} ) \:    >  \: 0

Hence

(     \frac{ \sqrt{15} }{5}  , \frac{1}{125} (- 6 \sqrt{15}  + 750))

is a minimum point.

f''(0) \: =\: 0

Hence (0,-6) is a point of inflexion

4 0
3 years ago
What is the topic of an informational writing piece? (1 point) the subject or focus of your writing the formal meanings of words
Lyrx [107]

Answer:

Chapter 1. ... An expository essay allows the writer the opportunity to explain his or her ideas ... Facts. Explanations. Details. Definitions. It may also include the writer ... The first body section or paragraph should focus on one of your main points ... You will learn about the different ways to organize your body paragraphs in ...

Step-by-step explanation:

an error occurred while processing this directive] TIP Sheets > Writing Skills: Style, ... The main point of a piece of writing, often stated in a thesis statement or topic sentence. ... into a pattern or style; the way in which the content of writing is organized. ... and autobiographical information, often a source of ideas for writing.Whether you are messaging a colleague, writing to your manager, creating the ... may label and group the stages in various ways, the stages of the writing process are ... information to support or explain what you want to say about your subject, and ... in general at the beginning of prewriting before focusing on your topic.

t can be an individual object or a group of objects. ... As an information report is a factual piece of writing with a focus on attention to ... When putting together an information report you need to know your topic well so be ... should reinforce points made in the text, often in a condensed way. ... 1. Define the Scope of the Topic.

This step-by-step guide on expository writing includes expository essay ... Parents, does your student need assistance with writing an expository essay? ... of a subject based on facts—with no references to the writer's opinions or emotions. A typical expository writing prompt will use the words “explain” or “define,” such as in, ...

8 0
3 years ago
What is the slope intercept form of the line ?
Alexus [3.1K]

Answer:

D

Step-by-step explanation:

Its d because in the graph the line where they are at is positive and the answer shows (2,2) in the graph.

6 0
3 years ago
Read 2 more answers
What is the product of -9(5-2x)
nata0808 [166]
-45+18x is the answer
Hope this helped <3
5 0
3 years ago
Read 2 more answers
A × 60=120 what does the a represent
I am Lyosha [343]
In math, the word unknown is also called to the missing term of a number sentence. This missing term is a missing piece that has to be solved.
Let us have A x 60 = 120, since A has no numerical value, it is considered as the missing term. How can we get the value of the missing term? first, study the number sentence. Find out the rule, then apply it.
The value of A on the equation above is 2. Here's how:
A x 60 = 120
A=120÷60
A=2
The value A is 2, therefore the missing term is 2.


3 0
3 years ago
Read 2 more answers
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