calculus graph please help

Calculus Graph Please Help

Answers

Answer 1

Answer:

See Below.

Step-by-step explanation:

We are given the graph of y = f'(x) and we want to determine the characteristics of f(x).

Part A)

f is increasing whenever f' is positive and decreasing whenever f' is negative.

Hence, f is increasing for the interval:

[tex](-\infty, -2) \cup (-1, 1)\cup (3, \infty)[/tex]

And f is decreasing for the interval:

[tex]\displaystyle (-2, -1) \cup (1, 3)[/tex]

Part B)

f has a relative maximum at x = c if f' turns from positive to negative at c and a relative minimum if f' turns from negative to positive to negative at c.

f' turns from positive to negative at x = -2 and x = 1.

And f' turns from negative to positive at x = -1 and x = 3.

Hence, f has relative maximums at x = -2 and x = 1, and relative minimums at x = -1 and x = 3.

Part C)

f is concave up whenever f'' is positive and concave down whenever f'' is negative.

In other words, f is concave up whenever f' is increasing and concave down whenever f' is decreasing.

Hence, f is concave up for the interval (rounded to the nearest tenths):

[tex]\displaystyle (-1.5 , 0) \cup (2.2, \infty)[/tex]

And concave down for the interval:

[tex]\displaystyle (-\infty, -1.5) \cup (0, 2.2)[/tex]

Part D)

Points of inflections are where the concavity changes: that is, f'' changes from either positive to negative or negative to positive.

In other words, f has an inflection point wherever f' has an extremum point.

f' has extrema at (approximately) x = -1.5, 0, and 2.2.

Hence, f has inflection points at x = -1.5, 0, and 2.2.


Related Questions

On Monday Ryan picked a third of a pound of strawberries. On Tuesday he
icked three-fourths of a pound of strawberries. What was the total weight of the
trawberries Ryan picked?

Answers

Answer:

[tex]17 \frac{1}{3} [/tex]

Step-by-step explanation:

1/3 pound = 5.333 ( 5 1/3 ) ounces

3/4 pound = 12 ( 12 ) ounces

How do we show 425/1000 as a decimal?

Answers

Answer:

0.425

Step-by-step explanation:

bro this is like 1st grade math

your answer would be 0.425 :))

(18 - 3)2 = ?
show your work
help me pls ty​

Answers

Answer: 30

Step-by-step explanation:

18 - 3 is in the parenthesis so you have to solve that first. it’s 15 so the equation would then become (15)2 which is equal to 15 times 2. 15 times 2 equals 30.

100 points-Victoria has $200 of her birthday gift money saved at home, and the amount is modeled by the function h(x) = 200. She reads about a bank that has savings accounts that accrue interest according to the function s(x) = (1.05)^x−1. Explain how Victoria can combine the two functions to model the total amount of money she will have in her bank account as interest accrues after she deposits her $200. Justify your reasoning.

Answers

Step-by-step explanation:

Our interest equation is s(x) = (1.05)^(x - 1). This is actually a part of a bigger formula for calculating the amount of money accumulated including interest:

A = P(1 + r)^n, where A is the total, P is the principal amount (initial amount), r is the interest rate, and n is the time

Here, we technically already have the (1 + r)^n part; it's just (1.05)^(x - 1). The principle, though, will actually be the 200 because she starts out at $200.

Thus, to combine these, we simply multiply them together to get:

h(x) * s(x) = 200(1.05)^(x - 1)

ps.can u pls mark me as the brainliest you'll also get point for that;)

Victoria can combine the two functions to model the total amount of money. Then the equation will be given below.

[tex]\rm h(x) \times s(x) = 200 \times (1.05)^{x-1}[/tex]

What is compound interest?

Compound interest is the interest on a loan or deposit calculated based on the initial principal and the accumulated interest from the previous period.

Victoria has $200 of her birthday gift money saved at home, and the amount is modeled by the function

[tex]\rm h(x) = 200[/tex]

She reads about a bank that has savings accounts that accrue interest according to the function

[tex]\rm s(x) = (1.05)^{x-1}[/tex]

[tex]A = P(1 + r)^n[/tex]

where A represents the sum, P represents the principal (starting amount), r represents the interest rate, and n represents the time.

To combine these, we simply multiply them by each other, yielding:

[tex]\rm h(x) \times s(x) = 200 \times (1.05)^{x-1}[/tex]

More about the compound interest link is given below.

https://brainly.com/question/25857212

447,077 is ____________________then 347,077.

Fill in the blank.​

Answers

447,077 is  greater than 347,077

447,077 greater than 347,077 by 100,000

447,077-347,077= 100,000

I can list more if you want! I hope I've helped!

Find the value of 9 - [4 2 - (3 + 2)].
8
6
-2

Answers

Answer:

-2

Step-by-step explanation:

9 - [4^2 - (3 + 2)]

PEMDAS says parentheses first

Working from inside out

9 - [4^2 - (5)]

9 - [16 - (5)]

9 - [11]

Subtract

-2

Step-by-step explanation:

hope it is visible and makes sense

:)

Indicate which is the largest decimal in each of the following pairs.
0.01 and 0.005

Answers

Answer:

0.01

Step-by-step explanation:

0.01 is the largest decimal in the pair of 0.01 and 0.005

Carmen is riding her bicycle. She rides for 22.5 kilometres at a speed of 9 kilometers per hour. For how many hours does she ride?

Answers

Answer:

2.5 hours

Step-by-step explanations:

22.5/9 = 2.5

Hope this helps! :D

Which of the following statements is false?
If a number is divisible by 8, it must be divisible by 4.
If a number is divisible by both 9 and 10, it is divisible by 90.
The sum of two consecutive odd numbers is always divisible by 4.
If a number is not divisible by both 3 and 4, it is divisible by 12.​

Answers

Answer:

The last one

Step-by-step explanation:

It doesn't make sense for that to be true

helppp

find the measure of the missing angles

Answers

Answer:

B and c both equal 46

Step-by-step explanation:

134-180=46

B and c are verticle angles they will equal the same number

Algebraic Expressions Use the Distributive Property to expand each expression 4(3x-9)​

Answers

Answer:

12x-36?

Step-by-step explanation:

well 4×3x and 9× 4 gives the answer

what is the solution of linear equation of cosx(e^2y-y)=e^y sin2x

Answers

This is college? Woah I'm not advanced. Middle school!

Using the Principle of Mathematical Induction, prove that . n ^2 − n is even for n ≥ 1​

Answers

Base case: if n = 1, then

1² - 1 = 0

which is even.

Induction hypothesis: assume the statement is true for n = k, namely that k ² - k is even. This means that k ² - k = 2m for some integer m.

Induction step: show that the assumption implies (k + 1)² - (k + 1) is also even. We have

(k + 1)² - (k + 1) = k ² + 2k + 1 - k - 1

… = (k ² - k) + 2k

… = 2m + 2k

… = 2 (m + k)

which is clearly even. QED

if 3x+7 Y-37 and x = 3, then Y = ?

Answers

Answer:

y = 4

Step-by-step explanation:

Given

3x + 7y = 37 ← substitute x = 3 into the equation

3(3) + 7y = 37, that is

9 + 7y = 37 ( subtract 9 from both sides )

7y = 28 ( divide both sides by 7 )

y = 4

Step-by-step explanation:

What is the value of the expression?

3 * [(2 * 6 - 5) + (8 divided by 4)] - 1

A. 9
B. 11
C. 26
D. 32
Show Work!

Answers

[tex]3\cdot[(2\cdot6-5)+(8:4)]-1=\\\\=3\cdot[(12-5)+2]-1=3\cdot(7+2)-1=\\\\=3\cdot9-1=27-1=\boxed{26}[/tex]

pls help me , i need it done

Answers

Answer:0.50

Step-by-step explanation:

Range= Highest number - lowest number

=1.50 -1.00= 0.50

find the smallest n so that all all of the numbers are natural, 27+n, n/3 , square root of (n+16)​

Answers

Answer:

9

Step-by-step explanation:

We know it has to be a multiply of 3

27 + 3 = 30 nat number

3/3 = 1 nat number

sq root 19 not nat number

27 + 9 = 36 nat number

9/3 = 3 nat number

sq root 25 = 5 nat number

correct!

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Given: g(x) = -4x and h(x) = 4x +3
Find: g(h(x+1))

Answers

Answer:

-16x-28

Step-by-step explanation:

h(x+1)= 4(x+1)+3 = 4x+7

g(h(x+1))= -4[4x+7] = -16x-28

Which of the following correctly represents the movement on the number line for the calculation 21 - (- 15) + (- 30) ?

Answers

Answer:

It moves 6 to the right.

Step-by-step explanation:

21 -(-15) = 36

36+(-30)=6

-1 and 3 tenths plus 4 tenths

Answers

The answer you are looking for is -9/10, or -0.9.

Solution:

-1 3/10+4/10

-13/10+4/10

-9/10, or -0.9

Answer:

-0.9

Step-by-step explanation:

Algebra Please Help!!

Answers

Answer:

c = 5/9 (F-32)

F-32 = c ÷ (5/9)

F-32 = c × (9/5)

F-32= 9c/ 5

F= (9c/5) + 32

I hope I helped you^_^

Can someone help me solve these 3 trig identity problems? I am stuck on these last 3... I will give brainliest!

(calculators are allowed)

Answers

Answer:

1. 1,246

2. 0,545

3. 0,9539

Step-by-step explanation:

semoga membantu :)

Hurry!
The simple meaning of a translation is?
O Slide
O Flip
O Turn
O Change in size

Answers

Answer:

to turn

Step-by-step explanation:

to translate in a simple definition is to turn something of a shape into another form of shape example for you to translate a language into another language in a sentence, you have to turn the letters of that language into the specific language that you want to translate

Find the x-intercept of the line graphed by the equation x - 7y = 7. (0, 14) (7, 0) (14, 0) (0, 7)

Answers

x-7y=7
To find the x-intercept, substitute y=0
x-7×0=7
x-0=7
x=7
∴ the x-intercept of the line is (7,0)

(b) Ivanna bought 9 pounds of flour for $5.
How many pounds of flour did she get per dollar?

Answers

Answer:

1.8 pounds per dollar

Step-by-step explanation:

Take the pounds and divide by the dollars

9 pounds / 5 dollars

1.8 pounds per dollar

You buy 1.86 pounds of ground beef 2,8

Answers

what is this question asking?
maybe try 3.87

Consider the equation −8x−5y=−10
A line parallel to the above line would have a slope of
A line perpendicular to the above line would have a slope of

Please Help!!

Answers

Answer:

Explanation :

The slope of the line with the equation -8x - 5y= -10 is -8/5 so the line parallel to it will have a slope of -8/5 because parallel limes have the same slope.

The line perpendicular to it will have a slope of 5/8. This is because the slopes of perpendicular lines add up to -1.

Hope this help

Determine if the following are functions of x.


(a) 5(y + 1)3 + x2 = 1

Answers

9514 1404 393

Answer:

  is a function

Step-by-step explanation:

The graph passes the vertical line test, so the relation is a function of x.

Which expression has a negative value?
7-31-4/2)
(15-7)-(9:3)
0-517+(-14) ]- 30

Answers

Answer:

the answer is 7+3(-4)(2)

write the simplest form 1/6 + 2/3 + 3/4

Answers

Answer: The answer is 1  7/12

                                       

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