1. The graph of f. consisting of three line segments, is given to the right. Let g(x) = $* f (t)dt. a. Compute g(4) and g(-2)(Need help on C and D)​

1. The Graph Of F. Consisting Of Three Line Segments, Is Given To The Right. Let G(x) = $* F (t)dt. A.

Answers

Answer 1

Hi there!

c.

Looking at the graph, we can eliminate any possibility of t values on the positive t-axis being an absolute minimum. The only sign change in this interval is from positive to negative, which indicates a maximum.

We can find the value of t = -2 using the integral:

[tex]g(-2) = \int\limits^{-2}_1 {f(t)} \, dt[/tex]

Rewrite in proper format:
[tex]g(-2) = -\int\limits^1_{-2}{f(t)} \, dt[/tex]

Solve using the graph:
[tex]g(-2) = -\frac{1}{2}bh = -\frac{1}{2}(3 \cdot 4) = -6[/tex]

There is an absolute minimum value of g at x = -2. Using the above integral, we get a value of g(-2) = -6, which is the lowest value attainable over the interval.

d.

There is an inflection point at x = 1 because the second derivative changes from positive to negative at this value. (Changes signs). There is NOT an inflection point at x = 2 because the second derivative remains negative, although with a different value.


Related Questions

The temperature in a city at 5:00 AM was 10 below zero. By noon, the temperature had increased 5 degrees. What is the temperature at noon?

Answers

Five below zero.

Negative ten plus five equals negative five

Mr Sire purchases a bicycle for $163.62. How much cash will he need to pay?

Answers

Answer:

$163.62

Step-by-step explanation:

$163.62

Answer:

$163.62

Step-by-step explanation:

Please mark me as brainliest

Find the volume if the cylinder. Round your answer to the nearest tenth.

Answers

࿐αɴѕωєя࿐

12.6 ft³

Step-by-step explanation:

h = 1 ft

r = 2 ft

π = 3.14

V of cylinder = πr²h

= 3.14 × 2² × 1

= 12.56

= 12.6 ft³

Hope it helps ⚜

I need some help with this as well

Answers

in not sure if it would be correct but i think it would be c because the lines would eventually cross through eachother

Step-by-step explanation:

A rectangle has an area of 20 square feet and a length of 6 feet.What is its width?

Answers

Answer:

The width would be 3.33 feet. I got this answer by dividing 20 by 6. The area of a Rectangle is (Length times Width) so 6 times 3.33 = 20.

Step-by-step explanation:

70 points!!
Find the equation of the line.
Through (-8,11); perpendicular to y=9
The equation is:___

Answers

Answer:

x = -8

Step-by-step explanation:

If the line is perpendicular to y = 9 then it will be x = ?

Given the line passes through (-8, 11), then the x-coordinate is -8, so the equation will be x = -8

5:8 equal 42:56 true or false

Answers

Answer:

false

Step-by-step explanation:

42 is not divisible by 5

Answer:

False

Step-by-step explanation:

5 does not go into 42

Hayden’s mom purchased a savings bond for Hayden. The value of this savings bond increases by 6% every year. One year after it was purchased, the value of the savings bond was $530. Find the value of the bond when Hayden’s mom purchased it. Explain your reasoning!

Answers

The new value would be the starting value x 1 + interest rate:

New value = starting value x 1.06

The new value is 530:

530 = starting value x 1.06

Find the starting value by dividing the new value by 1.06:


start value = 530/1.06

Start value = 500


Answer: $500.
explain reasoning: because the bond is only one year old you would multiply the value of the bond by the interest rate and add the interest amount to the bond to get $530.

HEEEEEEEEEEEESEEEEEEEEEEELPPPP

Answers

Answer:

150x2/ [3] = 100

55 - [-22.5] x 2 = 100

84 x 4 - [6] = 330

200 + [8] - 10 = 198

Step-by-step explanation:

Hope this helps

Answer:

1. 3
2. 5
3. 6
4. 8

Step-by-step explanation:

I do not think BODMAS or BIDMAS applies in these questions otherwise it would be impossible

Need help finding the solution for this linear equation

Answers

Answer:

x = -3

y = 7

Step-by-step explanation:

4y + 2 = 30

x - 4y = -31

Simplify the first equation by subtracting 2 from both sides:

4y = 28

Divide both sides by 4

y=7

Plug 7 in for y to solve for x:

x - 4(7) = -31

x - 28 = -31

Add 28 to both sides

x=-3

(x,y)=(-3,7)

please help on the half circle one

Answers

Answer:

28.26

Step-by-step explanation:

Area of a circle is pi * radius squared

The diameter is 6, so the radius is 3

pi * 3^2 = 3.14 * 9 = 28.26

Inscribed Angles
if angles ABC measures 70 what does angles ADC measure?

Answers

Answer:

35 degrees

Step-by-step explanation:

Assuming B is the center of the circle, the measure of arc AC is 70 degrees since the measure of a central angle is equal to the measure of the arc it intercepts.

This means that by the inscribed angle theorem, which states that the measure of an inscribed angle is half the measure of the arc it intercepts, the measure of the desired angle is 35 degrees.

A roll of breakfast sausage weighing 4/5:of a pound is cut into 3 patties of the same size. What is the weight of each patty?

NO LINKS!!! ​

Answers

Solution:

Note that:

4x/5 ÷ 3 = 1 patty

Solve for x to find the weight of each patty.

4/5 ÷ 3 = Weight of 1 patty=> 4/5 x 1/3 = 1 patty=> 4/15 = 1 patty

The weight of a patty is 4/15 of a pound.

Answer:

4/15

Step-by-step explanation:

Hope this helps! Sorry if I am wrong.

what is 1.9 to the second power in expanded form?

Answers

Answer:

[tex] {1.9}^{2} = 1.9 \times 1.9 = 3.61[/tex]

Answer:

[tex]1.9 {}^{2} [/tex]

[tex]=1.9 \times 1.9[/tex]

[tex] = 3.61[/tex]

Solve ? (0.7 + y) times 8.7

Answers

8.7(0.7+y)

expand

6.09+8.7y

Ms. Wilson surveyed her class of 36 students about their favorite ice cream flavors.
• Two-thirds of the students preferred chocolate ice cream.
• One-fourth of the students preferred strawberry ice cream.
• The rest preferred vanilla ice cream.
How many students preferred vanilla ice cream?

Answers

Answer:

1 student.

Step-by-step explanation:

Two thirds of the students preferred chocolate ice cream:

2/3 of 36 is 24 students.

One fourth of the students preferred strawberry ice cream:

1/4 of 36 is 9.

9+24= 35

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

36-35=1

Only one student preferred vanilla ice-cream.

Answer:

1

Step-by-step explanation:

2/3 × 36

= 24 students preferred Choclate Ice cream

1/4 × 36

= 9 students prefer strawberry ice cream

total students who prefer Chocolate or Strawberry

9+24

=35

Remaining students

36-35

=1

only 1 student preferred vanilla ice cream

A rectangle has a
perimeter of (12x +
8y). If one side of
the rectangle is (4x
– 2y), write an
expression of the
other side

Answers

Answer:

3x + 6y

Step-by-step explanation:

so the perimeter is 12x + 8y and a side is 4x-2y so that means that side and the side across is 8x-4y so you put it all to one side to get 6x +12y then divide that by 2 to find 1 side so the side is 3x + 6y

find the area.
help pls

Answers

Answer:

81.6 inches squared

Step-by-step explanation:

The formula for calculating all parallelograms is Area+=base*height.

The height is given to you, 6.8, the base of the figure is also given, 12.

Now all you have to do is to multiply.

That would get you to 81.6.

(When asked for area of parallelogram, the length of any line other than the height and base is not needed)

hoped this helped!

turn 55% in to fraction​

Answers

Answer: Your answer is 55% = 11 / 20

Hope this helps!

Answer:

11/20

Step-by-step explanation:

Step 1: We represent the given number as a fraction by dividing it by 100.

Hence, we write it as 55/100.

Step 2: Simplify the fraction by using common factors of numerator and denominator.

Now, 55% can be written as 55 / 100.

On simplifying the above fraction:

55 / 100 = 11 / 20 [Dividing numerator and denominator by their greatest common factor, that is 5.]

Therefore, 55% can be represented as 11/20 in fractional form.

[RevyBreeze]

Hi can you Answer this plss I really need it ty in advanced!​

Answers

Given:

[tex]X = {0,1,2,3,4} \\ Y = {2,4,6,8,10,12} \\ Z = {3,6,9,12,15}[/tex]

So,

[tex]X∪Y = (0,1,2,3,4) \: ∪ \: (2,4,6,8,10,12) \\ = > (0,1,2,3,4,6,8,10,12)[/tex]

[tex]X∩Z = (0,1,2,3,4) \: ∩ \: (3,6,9,12,15) \\ = > (3)[/tex]

[tex](X∪Y)∩Z = (0,1,2,3,4,6,8,10,13) ∩ (3,6,9,12,15) \\ = > (3,6)[/tex]

Using the generic set operations, we will see that:

1) X U Y = {0, 1, 2, 3, 4, 6, 8, 10, 12}2)  X ∩ Z = {3}3) Z = {3, 6, 9, 12, 15}

How to operate with sets?

For two given sets A and B, we define:

A ∪ B as the union of the two sets, this is the set that contains all the elements from both A and B.

A ∩ B is the intersection of A and B, this set contains only the common elements of A and B.

Now we want to complete the given table:

1) X U Y is the union of sets X and Y (we do not repeat elements) so this is equal to:

{0, 1, 2, 3, 4, 6, 8, 10, 12}

2) X ∩ Z is the intersection of X and Z, the only common element between these sets is 3, then:

X ∩ Z = {3}

3) (X U Y)∩ Z

Is the set of the common elements between:

X U Y = {0, 1, 2, 3, 4, 6, 8, 10, 12}

Z = {3, 6, 9, 12, 15}

The common ones are:

3, 6, and 12, then we have:

(X U Y)∩ Z = {3, 6, 12}

If you want to learn more about sets operations, you can read:

https://brainly.com/question/2166579

Struggling lol. Any help would be appreciated!

Answers

Answer:

Heptagon = 84 ft²

Octagon  = 186 yd²

Triangle = 48√3 m²

Step-by-step explanation:

[tex]\textsf{area of a regular polygon}=\dfrac12ap[/tex]

where:

[tex]a[/tex] = length of apothem[tex]p[/tex] = perimeter

Heptagon

a = 5.0 ft

p = 33.6 ft

⇒ area = 1/2 x 5.0 x 33.6 = 84 ft²

Octagon

a = 7.5 yd

p = 8 x 6.2 = 49.6 yd

⇒ area = 1/2 x 7.5 x 49.6 = 186 yd²

Triangle

Formula for the apothem of an equilateral triangle :

[tex]a=\dfrac{s}{2\sqrt{3}}[/tex]  where [tex]s[/tex] = side length

a = 4, so:

[tex]4=\dfrac{s}{2\sqrt{3}}[/tex]

[tex]\implies 8\sqrt{3}=s[/tex]

Now we know the side length, we can calculate the perimeter (p):

p = 3 x 8√3 = 24√3

⇒ area = 1/2 x 4 x 24√3 = 48√3 m²

What is the area of the shaded part of the figure if x=8 ft? Use 3.14 to approximate π. A square with side lengths x feet. A quarter circle with radius x feet is cut out of the square. x=8 ft Area of a quarter circle =14 πx2 CLEAR CHECK ft2

Answers

The area of the shaded part of the figure is; 114.3ft²

Area of a quarter circle and a square

From the task content:

It follows that the area of the shaded portion of the figure is the sum of the area of the square and the quarter circle.

The area of the square is;

A(square) = x² = 8² = 64ft².

The area of the quarter circle is;

A(quarter circle) = (1/4)πx² = 1/4×22/7 × 8²

A(quarter circle) = 50.3ft².

Ultimately, the area of the shaded part of the figure is; 50.3ft² + 64ft² = 114.3ft².

Read more on area of quarter circles;

https://brainly.com/question/2193853

Answer:

13.76

Step-by-step explanation:

I got it right :)

2) A certain company charges $7.95 per square foot to lay patio. How much would
they charge to lay a 23 foot by 15 foot patio?

Answers

$2742.75

23•15=345sqft
345•7.95=2742.75

Helppp pleaseee 10 points

Answers

Answer:

-10, -3, -2.0001, -2.1, -2, -7, -5,

They are asking for the value of x

Answers

Answer:

the value of X is 70

Step-by-step explanation:

45 + 2x - 5 = 180

combine common stuff (45 and -5)

40 + 2x = 180

-40 -40

2x=140

/2 /2

x = 70

x^5=243
what is the formular to the equation.

Answers

Answer:

x = 3

Step-by-step explanation:

x^5 = 243

Take the fifth root of each side which is the same as raising each side to th 1/5 power. Also, 243 = 3^5.

x^5 = 3^5

(x^5)^(1/5) = (3^5)^(1/5)

x = 3

Answer:

3

Step-by-step explanation:

x^5= 243

I guess we're looking for x

so what we do is just find the fifth root of 243

and that's 3

Do you need to regroup I ten as 10 ones? Explain

Answers

Answer: no because that is like

We are not sure what the error is here.

Answers

Answer:

The student only counted the shaded blocks

Step-by-step explanation:

[tex]3 \div \frac{1}{4} = 3 \times \frac{4}{1} = \frac{12}{1} = 12[/tex]

so it would be

[tex] \frac{3}{12} = \frac{1}{4} [/tex]

What is the slope of the line that passes through the points (6,−5) and (-6, -5)

Answers

Answer:

0

Step-by-step explanation:

Slope can be conceptualized as rise over run.

To get rise, you can see the difference between the two 'y' coordinates. In this case, it's 0 (-5 and -5). At this point, since the numerator of our [tex]\frac{rise}{run}[/tex] fraction is 0, you know it's just gonna be 0 no matter the value of the run.

Noah has collected $50 by selling lemonade and muffins. He sold $10 worth of muffins. He sold
each cup of lemonade for $2. How many cups of lemonade did he sell?

Answers

Answer:

5 cups of lemonade

Step-by-step:

Let's first make an equation from the question.

$10 = muffins (x)

$2 = cups of lemonade (y)

$10x + $2y = $50

x= 4

y= 5

Plug in the numbers:

$10(4) + $2(5) = $50

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